Highest Common Factor of 882, 924 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 882, 924 i.e. 42 the largest integer that leaves a remainder zero for all numbers.

HCF of 882, 924 is 42 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 882, 924 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 882, 924 is 42.

HCF(882, 924) = 42

HCF of 882, 924 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 882, 924 is 42.

Highest Common Factor of 882,924 using Euclid's algorithm

Highest Common Factor of 882,924 is 42

Step 1: Since 924 > 882, we apply the division lemma to 924 and 882, to get

924 = 882 x 1 + 42

Step 2: Since the reminder 882 ≠ 0, we apply division lemma to 42 and 882, to get

882 = 42 x 21 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 42, the HCF of 882 and 924 is 42

Notice that 42 = HCF(882,42) = HCF(924,882) .

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Frequently Asked Questions on HCF of 882, 924 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 882, 924?

Answer: HCF of 882, 924 is 42 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 882, 924 using Euclid's Algorithm?

Answer: For arbitrary numbers 882, 924 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.