Highest Common Factor of 857, 5697 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, 5697 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 857, 5697 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, 5697 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, 5697 is 1.
HCF(857, 5697) = 1
HCF of 857, 5697 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, 5697 is 1.
Highest Common Factor of 857,5697 is 1
Step 1: Since 5697 > 857, we apply the division lemma to 5697 and 857, to get
5697 = 857 x 6 + 555
Step 2: Since the reminder 857 ≠ 0, we apply division lemma to 555 and 857, to get
857 = 555 x 1 + 302
Step 3: We consider the new divisor 555 and the new remainder 302, and apply the division lemma to get
555 = 302 x 1 + 253
We consider the new divisor 302 and the new remainder 253,and apply the division lemma to get
302 = 253 x 1 + 49
We consider the new divisor 253 and the new remainder 49,and apply the division lemma to get
253 = 49 x 5 + 8
We consider the new divisor 49 and the new remainder 8,and apply the division lemma to get
49 = 8 x 6 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 857 and 5697 is 1
Notice that 1 = HCF(8,1) = HCF(49,8) = HCF(253,49) = HCF(302,253) = HCF(555,302) = HCF(857,555) = HCF(5697,857) .
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Frequently Asked Questions on HCF of 857, 5697 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, 5697?
Answer: HCF of 857, 5697 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 857, 5697 using Euclid's Algorithm?
Answer: For arbitrary numbers 857, 5697 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.