Highest Common Factor of 2571, 2156 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 2571, 2156 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2571, 2156 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 2571, 2156 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 2571, 2156 is 1.
HCF(2571, 2156) = 1
HCF of 2571, 2156 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2571, 2156 is 1.
Highest Common Factor of 2571,2156 is 1
Step 1: Since 2571 > 2156, we apply the division lemma to 2571 and 2156, to get
2571 = 2156 x 1 + 415
Step 2: Since the reminder 2156 ≠ 0, we apply division lemma to 415 and 2156, to get
2156 = 415 x 5 + 81
Step 3: We consider the new divisor 415 and the new remainder 81, and apply the division lemma to get
415 = 81 x 5 + 10
We consider the new divisor 81 and the new remainder 10,and apply the division lemma to get
81 = 10 x 8 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2571 and 2156 is 1
Notice that 1 = HCF(10,1) = HCF(81,10) = HCF(415,81) = HCF(2156,415) = HCF(2571,2156) .
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Frequently Asked Questions on HCF of 2571, 2156 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 2571, 2156?
Answer: HCF of 2571, 2156 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2571, 2156 using Euclid's Algorithm?
Answer: For arbitrary numbers 2571, 2156 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
