Highest Common Factor of 971, 595 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 971, 595 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 971, 595 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 971, 595 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 971, 595 is 1.
HCF(971, 595) = 1
HCF of 971, 595 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 971, 595 is 1.
Highest Common Factor of 971,595 is 1
Step 1: Since 971 > 595, we apply the division lemma to 971 and 595, to get
971 = 595 x 1 + 376
Step 2: Since the reminder 595 ≠ 0, we apply division lemma to 376 and 595, to get
595 = 376 x 1 + 219
Step 3: We consider the new divisor 376 and the new remainder 219, and apply the division lemma to get
376 = 219 x 1 + 157
We consider the new divisor 219 and the new remainder 157,and apply the division lemma to get
219 = 157 x 1 + 62
We consider the new divisor 157 and the new remainder 62,and apply the division lemma to get
157 = 62 x 2 + 33
We consider the new divisor 62 and the new remainder 33,and apply the division lemma to get
62 = 33 x 1 + 29
We consider the new divisor 33 and the new remainder 29,and apply the division lemma to get
33 = 29 x 1 + 4
We consider the new divisor 29 and the new remainder 4,and apply the division lemma to get
29 = 4 x 7 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 971 and 595 is 1
Notice that 1 = HCF(4,1) = HCF(29,4) = HCF(33,29) = HCF(62,33) = HCF(157,62) = HCF(219,157) = HCF(376,219) = HCF(595,376) = HCF(971,595) .
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Frequently Asked Questions on HCF of 971, 595 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 971, 595?
Answer: HCF of 971, 595 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 971, 595 using Euclid's Algorithm?
Answer: For arbitrary numbers 971, 595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.