Highest Common Factor of 5151, 1657 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 5151, 1657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5151, 1657 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 5151, 1657 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 5151, 1657 is 1.
HCF(5151, 1657) = 1
HCF of 5151, 1657 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5151, 1657 is 1.
Highest Common Factor of 5151,1657 is 1
Step 1: Since 5151 > 1657, we apply the division lemma to 5151 and 1657, to get
5151 = 1657 x 3 + 180
Step 2: Since the reminder 1657 ≠ 0, we apply division lemma to 180 and 1657, to get
1657 = 180 x 9 + 37
Step 3: We consider the new divisor 180 and the new remainder 37, and apply the division lemma to get
180 = 37 x 4 + 32
We consider the new divisor 37 and the new remainder 32,and apply the division lemma to get
37 = 32 x 1 + 5
We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get
32 = 5 x 6 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 5151 and 1657 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(37,32) = HCF(180,37) = HCF(1657,180) = HCF(5151,1657) .
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Frequently Asked Questions on HCF of 5151, 1657 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 5151, 1657?
Answer: HCF of 5151, 1657 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5151, 1657 using Euclid's Algorithm?
Answer: For arbitrary numbers 5151, 1657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.