Highest Common Factor of 256, 8403, 1452 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, 8403, 1452 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 256, 8403, 1452 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, 8403, 1452 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, 8403, 1452 is 1.

HCF(256, 8403, 1452) = 1

HCF of 256, 8403, 1452 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, 8403, 1452 is 1.

Highest Common Factor of 256,8403,1452 using Euclid's algorithm

Highest Common Factor of 256,8403,1452 is 1

Step 1: Since 8403 > 256, we apply the division lemma to 8403 and 256, to get

8403 = 256 x 32 + 211

Step 2: Since the reminder 256 ≠ 0, we apply division lemma to 211 and 256, to get

256 = 211 x 1 + 45

Step 3: We consider the new divisor 211 and the new remainder 45, and apply the division lemma to get

211 = 45 x 4 + 31

We consider the new divisor 45 and the new remainder 31,and apply the division lemma to get

45 = 31 x 1 + 14

We consider the new divisor 31 and the new remainder 14,and apply the division lemma to get

31 = 14 x 2 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 256 and 8403 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(31,14) = HCF(45,31) = HCF(211,45) = HCF(256,211) = HCF(8403,256) .

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

Step 1: Since 1452 > 1, we apply the division lemma to 1452 and 1, to get

1452 = 1 x 1452 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1452 is 1

Notice that 1 = HCF(1452,1) .

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Frequently Asked Questions on HCF of 256, 8403, 1452 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, 8403, 1452?

Answer: HCF of 256, 8403, 1452 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 256, 8403, 1452 using Euclid's Algorithm?

Answer: For arbitrary numbers 256, 8403, 1452 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.