Highest Common Factor of 222, 962 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 222, 962 i.e. 74 the largest integer that leaves a remainder zero for all numbers.

HCF of 222, 962 is 74 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 222, 962 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 222, 962 is 74.

HCF(222, 962) = 74

HCF of 222, 962 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 222, 962 is 74.

Highest Common Factor of 222,962 using Euclid's algorithm

Highest Common Factor of 222,962 is 74

Step 1: Since 962 > 222, we apply the division lemma to 962 and 222, to get

962 = 222 x 4 + 74

Step 2: Since the reminder 222 ≠ 0, we apply division lemma to 74 and 222, to get

222 = 74 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 74, the HCF of 222 and 962 is 74

Notice that 74 = HCF(222,74) = HCF(962,222) .

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Frequently Asked Questions on HCF of 222, 962 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 222, 962?

Answer: HCF of 222, 962 is 74 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 222, 962 using Euclid's Algorithm?

Answer: For arbitrary numbers 222, 962 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.