Highest Common Factor of 851, 1317 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 851, 1317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 851, 1317 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 851, 1317 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 851, 1317 is 1.
HCF(851, 1317) = 1
HCF of 851, 1317 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 851, 1317 is 1.
Highest Common Factor of 851,1317 is 1
Step 1: Since 1317 > 851, we apply the division lemma to 1317 and 851, to get
1317 = 851 x 1 + 466
Step 2: Since the reminder 851 ≠ 0, we apply division lemma to 466 and 851, to get
851 = 466 x 1 + 385
Step 3: We consider the new divisor 466 and the new remainder 385, and apply the division lemma to get
466 = 385 x 1 + 81
We consider the new divisor 385 and the new remainder 81,and apply the division lemma to get
385 = 81 x 4 + 61
We consider the new divisor 81 and the new remainder 61,and apply the division lemma to get
81 = 61 x 1 + 20
We consider the new divisor 61 and the new remainder 20,and apply the division lemma to get
61 = 20 x 3 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 851 and 1317 is 1
Notice that 1 = HCF(20,1) = HCF(61,20) = HCF(81,61) = HCF(385,81) = HCF(466,385) = HCF(851,466) = HCF(1317,851) .
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Frequently Asked Questions on HCF of 851, 1317 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 851, 1317?
Answer: HCF of 851, 1317 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 851, 1317 using Euclid's Algorithm?
Answer: For arbitrary numbers 851, 1317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.