Highest Common Factor of 656, 503, 756 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 656, 503, 756 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 656, 503, 756 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 656, 503, 756 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 656, 503, 756 is 1.

HCF(656, 503, 756) = 1

HCF of 656, 503, 756 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 656, 503, 756 is 1.

Highest Common Factor of 656,503,756 using Euclid's algorithm

Highest Common Factor of 656,503,756 is 1

Step 1: Since 656 > 503, we apply the division lemma to 656 and 503, to get

656 = 503 x 1 + 153

Step 2: Since the reminder 503 ≠ 0, we apply division lemma to 153 and 503, to get

503 = 153 x 3 + 44

Step 3: We consider the new divisor 153 and the new remainder 44, and apply the division lemma to get

153 = 44 x 3 + 21

We consider the new divisor 44 and the new remainder 21,and apply the division lemma to get

44 = 21 x 2 + 2

We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get

21 = 2 x 10 + 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 656 and 503 is 1

Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(44,21) = HCF(153,44) = HCF(503,153) = HCF(656,503) .

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

Step 1: Since 756 > 1, we apply the division lemma to 756 and 1, to get

756 = 1 x 756 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 756 is 1

Notice that 1 = HCF(756,1) .

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Frequently Asked Questions on HCF of 656, 503, 756 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 656, 503, 756?

Answer: HCF of 656, 503, 756 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 656, 503, 756 using Euclid's Algorithm?

Answer: For arbitrary numbers 656, 503, 756 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.