Highest Common Factor of 9222, 1272 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 9222, 1272 i.e. 318 the largest integer that leaves a remainder zero for all numbers.
HCF of 9222, 1272 is 318 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 9222, 1272 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 9222, 1272 is 318.
HCF(9222, 1272) = 318
HCF of 9222, 1272 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9222, 1272 is 318.
Highest Common Factor of 9222,1272 is 318
Step 1: Since 9222 > 1272, we apply the division lemma to 9222 and 1272, to get
9222 = 1272 x 7 + 318
Step 2: Since the reminder 1272 ≠ 0, we apply division lemma to 318 and 1272, to get
1272 = 318 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 318, the HCF of 9222 and 1272 is 318
Notice that 318 = HCF(1272,318) = HCF(9222,1272) .
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Frequently Asked Questions on HCF of 9222, 1272 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 9222, 1272?
Answer: HCF of 9222, 1272 is 318 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9222, 1272 using Euclid's Algorithm?
Answer: For arbitrary numbers 9222, 1272 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
