Highest Common Factor of 767, 9538, 3198 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 767, 9538, 3198 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 767, 9538, 3198 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 767, 9538, 3198 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 767, 9538, 3198 is 1.

HCF(767, 9538, 3198) = 1

HCF of 767, 9538, 3198 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 767, 9538, 3198 is 1.

Highest Common Factor of 767,9538,3198 using Euclid's algorithm

Highest Common Factor of 767,9538,3198 is 1

Step 1: Since 9538 > 767, we apply the division lemma to 9538 and 767, to get

9538 = 767 x 12 + 334

Step 2: Since the reminder 767 ≠ 0, we apply division lemma to 334 and 767, to get

767 = 334 x 2 + 99

Step 3: We consider the new divisor 334 and the new remainder 99, and apply the division lemma to get

334 = 99 x 3 + 37

We consider the new divisor 99 and the new remainder 37,and apply the division lemma to get

99 = 37 x 2 + 25

We consider the new divisor 37 and the new remainder 25,and apply the division lemma to get

37 = 25 x 1 + 12

We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get

25 = 12 x 2 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 767 and 9538 is 1

Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(37,25) = HCF(99,37) = HCF(334,99) = HCF(767,334) = HCF(9538,767) .

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

Step 1: Since 3198 > 1, we apply the division lemma to 3198 and 1, to get

3198 = 1 x 3198 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3198 is 1

Notice that 1 = HCF(3198,1) .

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Frequently Asked Questions on HCF of 767, 9538, 3198 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 767, 9538, 3198?

Answer: HCF of 767, 9538, 3198 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 767, 9538, 3198 using Euclid's Algorithm?

Answer: For arbitrary numbers 767, 9538, 3198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.