Highest Common Factor of 877, 532, 698 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 877, 532, 698 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 877, 532, 698 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 877, 532, 698 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 877, 532, 698 is 1.

HCF(877, 532, 698) = 1

HCF of 877, 532, 698 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 877, 532, 698 is 1.

Highest Common Factor of 877,532,698 using Euclid's algorithm

Highest Common Factor of 877,532,698 is 1

Step 1: Since 877 > 532, we apply the division lemma to 877 and 532, to get

877 = 532 x 1 + 345

Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 345 and 532, to get

532 = 345 x 1 + 187

Step 3: We consider the new divisor 345 and the new remainder 187, and apply the division lemma to get

345 = 187 x 1 + 158

We consider the new divisor 187 and the new remainder 158,and apply the division lemma to get

187 = 158 x 1 + 29

We consider the new divisor 158 and the new remainder 29,and apply the division lemma to get

158 = 29 x 5 + 13

We consider the new divisor 29 and the new remainder 13,and apply the division lemma to get

29 = 13 x 2 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 877 and 532 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(29,13) = HCF(158,29) = HCF(187,158) = HCF(345,187) = HCF(532,345) = HCF(877,532) .

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

Step 1: Since 698 > 1, we apply the division lemma to 698 and 1, to get

698 = 1 x 698 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 698 is 1

Notice that 1 = HCF(698,1) .

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Frequently Asked Questions on HCF of 877, 532, 698 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 877, 532, 698?

Answer: HCF of 877, 532, 698 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 877, 532, 698 using Euclid's Algorithm?

Answer: For arbitrary numbers 877, 532, 698 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.