Highest Common Factor of 795, 53117 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 795, 53117 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 795, 53117 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 795, 53117 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 795, 53117 is 1.
HCF(795, 53117) = 1
HCF of 795, 53117 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 795, 53117 is 1.
Highest Common Factor of 795,53117 is 1
Step 1: Since 53117 > 795, we apply the division lemma to 53117 and 795, to get
53117 = 795 x 66 + 647
Step 2: Since the reminder 795 ≠ 0, we apply division lemma to 647 and 795, to get
795 = 647 x 1 + 148
Step 3: We consider the new divisor 647 and the new remainder 148, and apply the division lemma to get
647 = 148 x 4 + 55
We consider the new divisor 148 and the new remainder 55,and apply the division lemma to get
148 = 55 x 2 + 38
We consider the new divisor 55 and the new remainder 38,and apply the division lemma to get
55 = 38 x 1 + 17
We consider the new divisor 38 and the new remainder 17,and apply the division lemma to get
38 = 17 x 2 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 795 and 53117 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(38,17) = HCF(55,38) = HCF(148,55) = HCF(647,148) = HCF(795,647) = HCF(53117,795) .
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Frequently Asked Questions on HCF of 795, 53117 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 795, 53117?
Answer: HCF of 795, 53117 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 795, 53117 using Euclid's Algorithm?
Answer: For arbitrary numbers 795, 53117 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.