Highest Common Factor of 692, 963, 502 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 692, 963, 502 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 692, 963, 502 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 692, 963, 502 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 692, 963, 502 is 1.

HCF(692, 963, 502) = 1

HCF of 692, 963, 502 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 692, 963, 502 is 1.

Highest Common Factor of 692,963,502 using Euclid's algorithm

Highest Common Factor of 692,963,502 is 1

Step 1: Since 963 > 692, we apply the division lemma to 963 and 692, to get

963 = 692 x 1 + 271

Step 2: Since the reminder 692 ≠ 0, we apply division lemma to 271 and 692, to get

692 = 271 x 2 + 150

Step 3: We consider the new divisor 271 and the new remainder 150, and apply the division lemma to get

271 = 150 x 1 + 121

We consider the new divisor 150 and the new remainder 121,and apply the division lemma to get

150 = 121 x 1 + 29

We consider the new divisor 121 and the new remainder 29,and apply the division lemma to get

121 = 29 x 4 + 5

We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get

29 = 5 x 5 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 692 and 963 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(121,29) = HCF(150,121) = HCF(271,150) = HCF(692,271) = HCF(963,692) .

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

Step 1: Since 502 > 1, we apply the division lemma to 502 and 1, to get

502 = 1 x 502 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 502 is 1

Notice that 1 = HCF(502,1) .

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Frequently Asked Questions on HCF of 692, 963, 502 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 692, 963, 502?

Answer: HCF of 692, 963, 502 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 692, 963, 502 using Euclid's Algorithm?

Answer: For arbitrary numbers 692, 963, 502 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.