Highest Common Factor of 857, 532 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 857, 532 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 857, 532 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 857, 532 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 857, 532 is 1.
HCF(857, 532) = 1
HCF of 857, 532 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 857, 532 is 1.
Highest Common Factor of 857,532 is 1
Step 1: Since 857 > 532, we apply the division lemma to 857 and 532, to get
857 = 532 x 1 + 325
Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 325 and 532, to get
532 = 325 x 1 + 207
Step 3: We consider the new divisor 325 and the new remainder 207, and apply the division lemma to get
325 = 207 x 1 + 118
We consider the new divisor 207 and the new remainder 118,and apply the division lemma to get
207 = 118 x 1 + 89
We consider the new divisor 118 and the new remainder 89,and apply the division lemma to get
118 = 89 x 1 + 29
We consider the new divisor 89 and the new remainder 29,and apply the division lemma to get
89 = 29 x 3 + 2
We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get
29 = 2 x 14 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 857 and 532 is 1
Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(89,29) = HCF(118,89) = HCF(207,118) = HCF(325,207) = HCF(532,325) = HCF(857,532) .
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Frequently Asked Questions on HCF of 857, 532 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 857, 532?
Answer: HCF of 857, 532 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 857, 532 using Euclid's Algorithm?
Answer: For arbitrary numbers 857, 532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
