Highest Common Factor of 4157, 9220 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 4157, 9220 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4157, 9220 is 1 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 4157, 9220 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 4157, 9220 is 1.
HCF(4157, 9220) = 1
HCF of 4157, 9220 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4157, 9220 is 1.
Highest Common Factor of 4157,9220 is 1
Step 1: Since 9220 > 4157, we apply the division lemma to 9220 and 4157, to get
9220 = 4157 x 2 + 906
Step 2: Since the reminder 4157 ≠ 0, we apply division lemma to 906 and 4157, to get
4157 = 906 x 4 + 533
Step 3: We consider the new divisor 906 and the new remainder 533, and apply the division lemma to get
906 = 533 x 1 + 373
We consider the new divisor 533 and the new remainder 373,and apply the division lemma to get
533 = 373 x 1 + 160
We consider the new divisor 373 and the new remainder 160,and apply the division lemma to get
373 = 160 x 2 + 53
We consider the new divisor 160 and the new remainder 53,and apply the division lemma to get
160 = 53 x 3 + 1
We consider the new divisor 53 and the new remainder 1,and apply the division lemma to get
53 = 1 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4157 and 9220 is 1
Notice that 1 = HCF(53,1) = HCF(160,53) = HCF(373,160) = HCF(533,373) = HCF(906,533) = HCF(4157,906) = HCF(9220,4157) .
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Frequently Asked Questions on HCF of 4157, 9220 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 4157, 9220?
Answer: HCF of 4157, 9220 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4157, 9220 using Euclid's Algorithm?
Answer: For arbitrary numbers 4157, 9220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.