Highest Common Factor of 947, 2157 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 947, 2157 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 947, 2157 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 947, 2157 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 947, 2157 is 1.
HCF(947, 2157) = 1
HCF of 947, 2157 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 947, 2157 is 1.
Highest Common Factor of 947,2157 is 1
Step 1: Since 2157 > 947, we apply the division lemma to 2157 and 947, to get
2157 = 947 x 2 + 263
Step 2: Since the reminder 947 ≠ 0, we apply division lemma to 263 and 947, to get
947 = 263 x 3 + 158
Step 3: We consider the new divisor 263 and the new remainder 158, and apply the division lemma to get
263 = 158 x 1 + 105
We consider the new divisor 158 and the new remainder 105,and apply the division lemma to get
158 = 105 x 1 + 53
We consider the new divisor 105 and the new remainder 53,and apply the division lemma to get
105 = 53 x 1 + 52
We consider the new divisor 53 and the new remainder 52,and apply the division lemma to get
53 = 52 x 1 + 1
We consider the new divisor 52 and the new remainder 1,and apply the division lemma to get
52 = 1 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 947 and 2157 is 1
Notice that 1 = HCF(52,1) = HCF(53,52) = HCF(105,53) = HCF(158,105) = HCF(263,158) = HCF(947,263) = HCF(2157,947) .
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Frequently Asked Questions on HCF of 947, 2157 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 947, 2157?
Answer: HCF of 947, 2157 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 947, 2157 using Euclid's Algorithm?
Answer: For arbitrary numbers 947, 2157 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.