Highest Common Factor of 256, 674, 525, 252 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 256, 674, 525, 252 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 256, 674, 525, 252 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 256, 674, 525, 252 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 256, 674, 525, 252 is 1.

HCF(256, 674, 525, 252) = 1

HCF of 256, 674, 525, 252 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 256, 674, 525, 252 is 1.

Highest Common Factor of 256,674,525,252 using Euclid's algorithm

Highest Common Factor of 256,674,525,252 is 1

Step 1: Since 674 > 256, we apply the division lemma to 674 and 256, to get

674 = 256 x 2 + 162

Step 2: Since the reminder 256 ≠ 0, we apply division lemma to 162 and 256, to get

256 = 162 x 1 + 94

Step 3: We consider the new divisor 162 and the new remainder 94, and apply the division lemma to get

162 = 94 x 1 + 68

We consider the new divisor 94 and the new remainder 68,and apply the division lemma to get

94 = 68 x 1 + 26

We consider the new divisor 68 and the new remainder 26,and apply the division lemma to get

68 = 26 x 2 + 16

We consider the new divisor 26 and the new remainder 16,and apply the division lemma to get

26 = 16 x 1 + 10

We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get

16 = 10 x 1 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 256 and 674 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(26,16) = HCF(68,26) = HCF(94,68) = HCF(162,94) = HCF(256,162) = HCF(674,256) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 525 > 2, we apply the division lemma to 525 and 2, to get

525 = 2 x 262 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 525 is 1

Notice that 1 = HCF(2,1) = HCF(525,2) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 252 > 1, we apply the division lemma to 252 and 1, to get

252 = 1 x 252 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 252 is 1

Notice that 1 = HCF(252,1) .

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Frequently Asked Questions on HCF of 256, 674, 525, 252 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 256, 674, 525, 252?

Answer: HCF of 256, 674, 525, 252 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 256, 674, 525, 252 using Euclid's Algorithm?

Answer: For arbitrary numbers 256, 674, 525, 252 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.