Highest Common Factor of 2977, 600 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 2977, 600 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2977, 600 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 2977, 600 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 2977, 600 is 1.
HCF(2977, 600) = 1
HCF of 2977, 600 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2977, 600 is 1.
Highest Common Factor of 2977,600 is 1
Step 1: Since 2977 > 600, we apply the division lemma to 2977 and 600, to get
2977 = 600 x 4 + 577
Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 577 and 600, to get
600 = 577 x 1 + 23
Step 3: We consider the new divisor 577 and the new remainder 23, and apply the division lemma to get
577 = 23 x 25 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 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 2977 and 600 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(577,23) = HCF(600,577) = HCF(2977,600) .
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Frequently Asked Questions on HCF of 2977, 600 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 2977, 600?
Answer: HCF of 2977, 600 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2977, 600 using Euclid's Algorithm?
Answer: For arbitrary numbers 2977, 600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.