Highest Common Factor of 8520, 2051 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 8520, 2051 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8520, 2051 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 8520, 2051 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 8520, 2051 is 1.
HCF(8520, 2051) = 1
HCF of 8520, 2051 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8520, 2051 is 1.
Highest Common Factor of 8520,2051 is 1
Step 1: Since 8520 > 2051, we apply the division lemma to 8520 and 2051, to get
8520 = 2051 x 4 + 316
Step 2: Since the reminder 2051 ≠ 0, we apply division lemma to 316 and 2051, to get
2051 = 316 x 6 + 155
Step 3: We consider the new divisor 316 and the new remainder 155, and apply the division lemma to get
316 = 155 x 2 + 6
We consider the new divisor 155 and the new remainder 6,and apply the division lemma to get
155 = 6 x 25 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8520 and 2051 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(155,6) = HCF(316,155) = HCF(2051,316) = HCF(8520,2051) .
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Frequently Asked Questions on HCF of 8520, 2051 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 8520, 2051?
Answer: HCF of 8520, 2051 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8520, 2051 using Euclid's Algorithm?
Answer: For arbitrary numbers 8520, 2051 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
