Highest Common Factor of 1977, 6397 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 1977, 6397 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1977, 6397 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 1977, 6397 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 1977, 6397 is 1.
HCF(1977, 6397) = 1
HCF of 1977, 6397 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1977, 6397 is 1.
Highest Common Factor of 1977,6397 is 1
Step 1: Since 6397 > 1977, we apply the division lemma to 6397 and 1977, to get
6397 = 1977 x 3 + 466
Step 2: Since the reminder 1977 ≠ 0, we apply division lemma to 466 and 1977, to get
1977 = 466 x 4 + 113
Step 3: We consider the new divisor 466 and the new remainder 113, and apply the division lemma to get
466 = 113 x 4 + 14
We consider the new divisor 113 and the new remainder 14,and apply the division lemma to get
113 = 14 x 8 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1977 and 6397 is 1
Notice that 1 = HCF(14,1) = HCF(113,14) = HCF(466,113) = HCF(1977,466) = HCF(6397,1977) .
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Frequently Asked Questions on HCF of 1977, 6397 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 1977, 6397?
Answer: HCF of 1977, 6397 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1977, 6397 using Euclid's Algorithm?
Answer: For arbitrary numbers 1977, 6397 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
