Highest Common Factor of 977, 2381 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 977, 2381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 977, 2381 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 977, 2381 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 977, 2381 is 1.
HCF(977, 2381) = 1
HCF of 977, 2381 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 977, 2381 is 1.
Highest Common Factor of 977,2381 is 1
Step 1: Since 2381 > 977, we apply the division lemma to 2381 and 977, to get
2381 = 977 x 2 + 427
Step 2: Since the reminder 977 ≠ 0, we apply division lemma to 427 and 977, to get
977 = 427 x 2 + 123
Step 3: We consider the new divisor 427 and the new remainder 123, and apply the division lemma to get
427 = 123 x 3 + 58
We consider the new divisor 123 and the new remainder 58,and apply the division lemma to get
123 = 58 x 2 + 7
We consider the new divisor 58 and the new remainder 7,and apply the division lemma to get
58 = 7 x 8 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 977 and 2381 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(58,7) = HCF(123,58) = HCF(427,123) = HCF(977,427) = HCF(2381,977) .
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Frequently Asked Questions on HCF of 977, 2381 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 977, 2381?
Answer: HCF of 977, 2381 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 977, 2381 using Euclid's Algorithm?
Answer: For arbitrary numbers 977, 2381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.