Highest Common Factor of 995, 77197 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 995, 77197 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 995, 77197 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 995, 77197 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 995, 77197 is 1.
HCF(995, 77197) = 1
HCF of 995, 77197 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 995, 77197 is 1.
Highest Common Factor of 995,77197 is 1
Step 1: Since 77197 > 995, we apply the division lemma to 77197 and 995, to get
77197 = 995 x 77 + 582
Step 2: Since the reminder 995 ≠ 0, we apply division lemma to 582 and 995, to get
995 = 582 x 1 + 413
Step 3: We consider the new divisor 582 and the new remainder 413, and apply the division lemma to get
582 = 413 x 1 + 169
We consider the new divisor 413 and the new remainder 169,and apply the division lemma to get
413 = 169 x 2 + 75
We consider the new divisor 169 and the new remainder 75,and apply the division lemma to get
169 = 75 x 2 + 19
We consider the new divisor 75 and the new remainder 19,and apply the division lemma to get
75 = 19 x 3 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 995 and 77197 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(75,19) = HCF(169,75) = HCF(413,169) = HCF(582,413) = HCF(995,582) = HCF(77197,995) .
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Frequently Asked Questions on HCF of 995, 77197 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 995, 77197?
Answer: HCF of 995, 77197 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 995, 77197 using Euclid's Algorithm?
Answer: For arbitrary numbers 995, 77197 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.