Highest Common Factor of 879, 537, 692 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 879, 537, 692 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 879, 537, 692 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 879, 537, 692 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 879, 537, 692 is 1.

HCF(879, 537, 692) = 1

HCF of 879, 537, 692 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 879, 537, 692 is 1.

Highest Common Factor of 879,537,692 using Euclid's algorithm

Highest Common Factor of 879,537,692 is 1

Step 1: Since 879 > 537, we apply the division lemma to 879 and 537, to get

879 = 537 x 1 + 342

Step 2: Since the reminder 537 ≠ 0, we apply division lemma to 342 and 537, to get

537 = 342 x 1 + 195

Step 3: We consider the new divisor 342 and the new remainder 195, and apply the division lemma to get

342 = 195 x 1 + 147

We consider the new divisor 195 and the new remainder 147,and apply the division lemma to get

195 = 147 x 1 + 48

We consider the new divisor 147 and the new remainder 48,and apply the division lemma to get

147 = 48 x 3 + 3

We consider the new divisor 48 and the new remainder 3,and apply the division lemma to get

48 = 3 x 16 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 879 and 537 is 3

Notice that 3 = HCF(48,3) = HCF(147,48) = HCF(195,147) = HCF(342,195) = HCF(537,342) = HCF(879,537) .

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

Step 1: Since 692 > 3, we apply the division lemma to 692 and 3, to get

692 = 3 x 230 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 692 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(692,3) .

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Frequently Asked Questions on HCF of 879, 537, 692 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 879, 537, 692?

Answer: HCF of 879, 537, 692 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 879, 537, 692 using Euclid's Algorithm?

Answer: For arbitrary numbers 879, 537, 692 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.