Highest Common Factor of 701, 2637 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 701, 2637 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 701, 2637 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 701, 2637 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 701, 2637 is 1.
HCF(701, 2637) = 1
HCF of 701, 2637 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 701, 2637 is 1.
Highest Common Factor of 701,2637 is 1
Step 1: Since 2637 > 701, we apply the division lemma to 2637 and 701, to get
2637 = 701 x 3 + 534
Step 2: Since the reminder 701 ≠ 0, we apply division lemma to 534 and 701, to get
701 = 534 x 1 + 167
Step 3: We consider the new divisor 534 and the new remainder 167, and apply the division lemma to get
534 = 167 x 3 + 33
We consider the new divisor 167 and the new remainder 33,and apply the division lemma to get
167 = 33 x 5 + 2
We consider the new divisor 33 and the new remainder 2,and apply the division lemma to get
33 = 2 x 16 + 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 701 and 2637 is 1
Notice that 1 = HCF(2,1) = HCF(33,2) = HCF(167,33) = HCF(534,167) = HCF(701,534) = HCF(2637,701) .
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Frequently Asked Questions on HCF of 701, 2637 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 701, 2637?
Answer: HCF of 701, 2637 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 701, 2637 using Euclid's Algorithm?
Answer: For arbitrary numbers 701, 2637 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.