Highest Common Factor of 986, 627, 357 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 986, 627, 357 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 986, 627, 357 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 986, 627, 357 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 986, 627, 357 is 1.

HCF(986, 627, 357) = 1

HCF of 986, 627, 357 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 986, 627, 357 is 1.

Highest Common Factor of 986,627,357 using Euclid's algorithm

Highest Common Factor of 986,627,357 is 1

Step 1: Since 986 > 627, we apply the division lemma to 986 and 627, to get

986 = 627 x 1 + 359

Step 2: Since the reminder 627 ≠ 0, we apply division lemma to 359 and 627, to get

627 = 359 x 1 + 268

Step 3: We consider the new divisor 359 and the new remainder 268, and apply the division lemma to get

359 = 268 x 1 + 91

We consider the new divisor 268 and the new remainder 91,and apply the division lemma to get

268 = 91 x 2 + 86

We consider the new divisor 91 and the new remainder 86,and apply the division lemma to get

91 = 86 x 1 + 5

We consider the new divisor 86 and the new remainder 5,and apply the division lemma to get

86 = 5 x 17 + 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 986 and 627 is 1

Notice that 1 = HCF(5,1) = HCF(86,5) = HCF(91,86) = HCF(268,91) = HCF(359,268) = HCF(627,359) = HCF(986,627) .

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

Step 1: Since 357 > 1, we apply the division lemma to 357 and 1, to get

357 = 1 x 357 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 357 is 1

Notice that 1 = HCF(357,1) .

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Frequently Asked Questions on HCF of 986, 627, 357 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 986, 627, 357?

Answer: HCF of 986, 627, 357 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 986, 627, 357 using Euclid's Algorithm?

Answer: For arbitrary numbers 986, 627, 357 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.