Highest Common Factor of 676, 439, 583, 54 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 676, 439, 583, 54 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 676, 439, 583, 54 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 676, 439, 583, 54 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 676, 439, 583, 54 is 1.

HCF(676, 439, 583, 54) = 1

HCF of 676, 439, 583, 54 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 676, 439, 583, 54 is 1.

Highest Common Factor of 676,439,583,54 using Euclid's algorithm

Highest Common Factor of 676,439,583,54 is 1

Step 1: Since 676 > 439, we apply the division lemma to 676 and 439, to get

676 = 439 x 1 + 237

Step 2: Since the reminder 439 ≠ 0, we apply division lemma to 237 and 439, to get

439 = 237 x 1 + 202

Step 3: We consider the new divisor 237 and the new remainder 202, and apply the division lemma to get

237 = 202 x 1 + 35

We consider the new divisor 202 and the new remainder 35,and apply the division lemma to get

202 = 35 x 5 + 27

We consider the new divisor 35 and the new remainder 27,and apply the division lemma to get

35 = 27 x 1 + 8

We consider the new divisor 27 and the new remainder 8,and apply the division lemma to get

27 = 8 x 3 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 676 and 439 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(27,8) = HCF(35,27) = HCF(202,35) = HCF(237,202) = HCF(439,237) = HCF(676,439) .

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

Step 1: Since 583 > 1, we apply the division lemma to 583 and 1, to get

583 = 1 x 583 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 583 is 1

Notice that 1 = HCF(583,1) .

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

Step 1: Since 54 > 1, we apply the division lemma to 54 and 1, to get

54 = 1 x 54 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54 is 1

Notice that 1 = HCF(54,1) .

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Frequently Asked Questions on HCF of 676, 439, 583, 54 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 676, 439, 583, 54?

Answer: HCF of 676, 439, 583, 54 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 676, 439, 583, 54 using Euclid's Algorithm?

Answer: For arbitrary numbers 676, 439, 583, 54 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.