Highest Common Factor of 969, 986 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 969, 986 i.e. 17 the largest integer that leaves a remainder zero for all numbers.

HCF of 969, 986 is 17 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 969, 986 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 969, 986 is 17.

HCF(969, 986) = 17

HCF of 969, 986 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 969, 986 is 17.

Highest Common Factor of 969,986 using Euclid's algorithm

Highest Common Factor of 969,986 is 17

Step 1: Since 986 > 969, we apply the division lemma to 986 and 969, to get

986 = 969 x 1 + 17

Step 2: Since the reminder 969 ≠ 0, we apply division lemma to 17 and 969, to get

969 = 17 x 57 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 969 and 986 is 17

Notice that 17 = HCF(969,17) = HCF(986,969) .

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Frequently Asked Questions on HCF of 969, 986 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 969, 986?

Answer: HCF of 969, 986 is 17 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 969, 986 using Euclid's Algorithm?

Answer: For arbitrary numbers 969, 986 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.