Highest Common Factor of 857, 7162 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, 7162 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 857, 7162 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, 7162 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, 7162 is 1.
HCF(857, 7162) = 1
HCF of 857, 7162 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, 7162 is 1.
Highest Common Factor of 857,7162 is 1
Step 1: Since 7162 > 857, we apply the division lemma to 7162 and 857, to get
7162 = 857 x 8 + 306
Step 2: Since the reminder 857 ≠ 0, we apply division lemma to 306 and 857, to get
857 = 306 x 2 + 245
Step 3: We consider the new divisor 306 and the new remainder 245, and apply the division lemma to get
306 = 245 x 1 + 61
We consider the new divisor 245 and the new remainder 61,and apply the division lemma to get
245 = 61 x 4 + 1
We consider the new divisor 61 and the new remainder 1,and apply the division lemma to get
61 = 1 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 857 and 7162 is 1
Notice that 1 = HCF(61,1) = HCF(245,61) = HCF(306,245) = HCF(857,306) = HCF(7162,857) .
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Frequently Asked Questions on HCF of 857, 7162 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, 7162?
Answer: HCF of 857, 7162 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 857, 7162 using Euclid's Algorithm?
Answer: For arbitrary numbers 857, 7162 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.