Highest Common Factor of 716, 404, 626 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 716, 404, 626 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 716, 404, 626 is 2 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 716, 404, 626 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 716, 404, 626 is 2.

HCF(716, 404, 626) = 2

HCF of 716, 404, 626 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 716, 404, 626 is 2.

Highest Common Factor of 716,404,626 using Euclid's algorithm

Highest Common Factor of 716,404,626 is 2

Step 1: Since 716 > 404, we apply the division lemma to 716 and 404, to get

716 = 404 x 1 + 312

Step 2: Since the reminder 404 ≠ 0, we apply division lemma to 312 and 404, to get

404 = 312 x 1 + 92

Step 3: We consider the new divisor 312 and the new remainder 92, and apply the division lemma to get

312 = 92 x 3 + 36

We consider the new divisor 92 and the new remainder 36,and apply the division lemma to get

92 = 36 x 2 + 20

We consider the new divisor 36 and the new remainder 20,and apply the division lemma to get

36 = 20 x 1 + 16

We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get

20 = 16 x 1 + 4

We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get

16 = 4 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 716 and 404 is 4

Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(36,20) = HCF(92,36) = HCF(312,92) = HCF(404,312) = HCF(716,404) .

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

Step 1: Since 626 > 4, we apply the division lemma to 626 and 4, to get

626 = 4 x 156 + 2

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, 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 4 and 626 is 2

Notice that 2 = HCF(4,2) = HCF(626,4) .

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Frequently Asked Questions on HCF of 716, 404, 626 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 716, 404, 626?

Answer: HCF of 716, 404, 626 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 716, 404, 626 using Euclid's Algorithm?

Answer: For arbitrary numbers 716, 404, 626 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.