Highest Common Factor of 764, 966, 787, 52 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 764, 966, 787, 52 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 764, 966, 787, 52 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 764, 966, 787, 52 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 764, 966, 787, 52 is 1.

HCF(764, 966, 787, 52) = 1

HCF of 764, 966, 787, 52 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 764, 966, 787, 52 is 1.

Highest Common Factor of 764,966,787,52 using Euclid's algorithm

Highest Common Factor of 764,966,787,52 is 1

Step 1: Since 966 > 764, we apply the division lemma to 966 and 764, to get

966 = 764 x 1 + 202

Step 2: Since the reminder 764 ≠ 0, we apply division lemma to 202 and 764, to get

764 = 202 x 3 + 158

Step 3: We consider the new divisor 202 and the new remainder 158, and apply the division lemma to get

202 = 158 x 1 + 44

We consider the new divisor 158 and the new remainder 44,and apply the division lemma to get

158 = 44 x 3 + 26

We consider the new divisor 44 and the new remainder 26,and apply the division lemma to get

44 = 26 x 1 + 18

We consider the new divisor 26 and the new remainder 18,and apply the division lemma to get

26 = 18 x 1 + 8

We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get

18 = 8 x 2 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 764 and 966 is 2

Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(26,18) = HCF(44,26) = HCF(158,44) = HCF(202,158) = HCF(764,202) = HCF(966,764) .

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

Step 1: Since 787 > 2, we apply the division lemma to 787 and 2, to get

787 = 2 x 393 + 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 787 is 1

Notice that 1 = HCF(2,1) = HCF(787,2) .

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

Step 1: Since 52 > 1, we apply the division lemma to 52 and 1, to get

52 = 1 x 52 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52 is 1

Notice that 1 = HCF(52,1) .

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Frequently Asked Questions on HCF of 764, 966, 787, 52 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 764, 966, 787, 52?

Answer: HCF of 764, 966, 787, 52 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 764, 966, 787, 52 using Euclid's Algorithm?

Answer: For arbitrary numbers 764, 966, 787, 52 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.