Highest Common Factor of 962, 936, 319 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 962, 936, 319 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 962, 936, 319 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 962, 936, 319 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 962, 936, 319 is 1.

HCF(962, 936, 319) = 1

HCF of 962, 936, 319 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 962, 936, 319 is 1.

Highest Common Factor of 962,936,319 using Euclid's algorithm

Highest Common Factor of 962,936,319 is 1

Step 1: Since 962 > 936, we apply the division lemma to 962 and 936, to get

962 = 936 x 1 + 26

Step 2: Since the reminder 936 ≠ 0, we apply division lemma to 26 and 936, to get

936 = 26 x 36 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 962 and 936 is 26

Notice that 26 = HCF(936,26) = HCF(962,936) .

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

Step 1: Since 319 > 26, we apply the division lemma to 319 and 26, to get

319 = 26 x 12 + 7

Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 7 and 26, to get

26 = 7 x 3 + 5

Step 3: We consider the new divisor 7 and the new remainder 5, and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

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 26 and 319 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(319,26) .

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Frequently Asked Questions on HCF of 962, 936, 319 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 962, 936, 319?

Answer: HCF of 962, 936, 319 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 962, 936, 319 using Euclid's Algorithm?

Answer: For arbitrary numbers 962, 936, 319 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.