Highest Common Factor of 954, 2226 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 954, 2226 i.e. 318 the largest integer that leaves a remainder zero for all numbers.
HCF of 954, 2226 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 954, 2226 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 954, 2226 is 318.
HCF(954, 2226) = 318
HCF of 954, 2226 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 954, 2226 is 318.
Highest Common Factor of 954,2226 is 318
Step 1: Since 2226 > 954, we apply the division lemma to 2226 and 954, to get
2226 = 954 x 2 + 318
Step 2: Since the reminder 954 ≠ 0, we apply division lemma to 318 and 954, to get
954 = 318 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 318, the HCF of 954 and 2226 is 318
Notice that 318 = HCF(954,318) = HCF(2226,954) .
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Frequently Asked Questions on HCF of 954, 2226 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 954, 2226?
Answer: HCF of 954, 2226 is 318 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 954, 2226 using Euclid's Algorithm?
Answer: For arbitrary numbers 954, 2226 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
