Highest Common Factor of 764, 627, 503 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, 627, 503 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 764, 627, 503 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, 627, 503 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, 627, 503 is 1.

HCF(764, 627, 503) = 1

HCF of 764, 627, 503 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, 627, 503 is 1.

Highest Common Factor of 764,627,503 using Euclid's algorithm

Highest Common Factor of 764,627,503 is 1

Step 1: Since 764 > 627, we apply the division lemma to 764 and 627, to get

764 = 627 x 1 + 137

Step 2: Since the reminder 627 ≠ 0, we apply division lemma to 137 and 627, to get

627 = 137 x 4 + 79

Step 3: We consider the new divisor 137 and the new remainder 79, and apply the division lemma to get

137 = 79 x 1 + 58

We consider the new divisor 79 and the new remainder 58,and apply the division lemma to get

79 = 58 x 1 + 21

We consider the new divisor 58 and the new remainder 21,and apply the division lemma to get

58 = 21 x 2 + 16

We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get

21 = 16 x 1 + 5

We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get

16 = 5 x 3 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 764 and 627 is 1

Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(58,21) = HCF(79,58) = HCF(137,79) = HCF(627,137) = HCF(764,627) .

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

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

503 = 1 x 503 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 503 is 1

Notice that 1 = HCF(503,1) .

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Frequently Asked Questions on HCF of 764, 627, 503 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, 627, 503?

Answer: HCF of 764, 627, 503 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 764, 627, 503 using Euclid's Algorithm?

Answer: For arbitrary numbers 764, 627, 503 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.