Highest Common Factor of 616, 857 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 616, 857 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 616, 857 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 616, 857 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 616, 857 is 1.
HCF(616, 857) = 1
HCF of 616, 857 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 616, 857 is 1.
Highest Common Factor of 616,857 is 1
Step 1: Since 857 > 616, we apply the division lemma to 857 and 616, to get
857 = 616 x 1 + 241
Step 2: Since the reminder 616 ≠ 0, we apply division lemma to 241 and 616, to get
616 = 241 x 2 + 134
Step 3: We consider the new divisor 241 and the new remainder 134, and apply the division lemma to get
241 = 134 x 1 + 107
We consider the new divisor 134 and the new remainder 107,and apply the division lemma to get
134 = 107 x 1 + 27
We consider the new divisor 107 and the new remainder 27,and apply the division lemma to get
107 = 27 x 3 + 26
We consider the new divisor 27 and the new remainder 26,and apply the division lemma to get
27 = 26 x 1 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 616 and 857 is 1
Notice that 1 = HCF(26,1) = HCF(27,26) = HCF(107,27) = HCF(134,107) = HCF(241,134) = HCF(616,241) = HCF(857,616) .
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Frequently Asked Questions on HCF of 616, 857 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 616, 857?
Answer: HCF of 616, 857 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 616, 857 using Euclid's Algorithm?
Answer: For arbitrary numbers 616, 857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.