Highest Common Factor of 2754, 4222 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 2754, 4222 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2754, 4222 is 2 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 2754, 4222 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 2754, 4222 is 2.
HCF(2754, 4222) = 2
HCF of 2754, 4222 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2754, 4222 is 2.
Highest Common Factor of 2754,4222 is 2
Step 1: Since 4222 > 2754, we apply the division lemma to 4222 and 2754, to get
4222 = 2754 x 1 + 1468
Step 2: Since the reminder 2754 ≠ 0, we apply division lemma to 1468 and 2754, to get
2754 = 1468 x 1 + 1286
Step 3: We consider the new divisor 1468 and the new remainder 1286, and apply the division lemma to get
1468 = 1286 x 1 + 182
We consider the new divisor 1286 and the new remainder 182,and apply the division lemma to get
1286 = 182 x 7 + 12
We consider the new divisor 182 and the new remainder 12,and apply the division lemma to get
182 = 12 x 15 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2754 and 4222 is 2
Notice that 2 = HCF(12,2) = HCF(182,12) = HCF(1286,182) = HCF(1468,1286) = HCF(2754,1468) = HCF(4222,2754) .
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Frequently Asked Questions on HCF of 2754, 4222 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 2754, 4222?
Answer: HCF of 2754, 4222 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2754, 4222 using Euclid's Algorithm?
Answer: For arbitrary numbers 2754, 4222 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.