Highest Common Factor of 5315, 8700 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 5315, 8700 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5315, 8700 is 5 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 5315, 8700 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 5315, 8700 is 5.
HCF(5315, 8700) = 5
HCF of 5315, 8700 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5315, 8700 is 5.
Highest Common Factor of 5315,8700 is 5
Step 1: Since 8700 > 5315, we apply the division lemma to 8700 and 5315, to get
8700 = 5315 x 1 + 3385
Step 2: Since the reminder 5315 ≠ 0, we apply division lemma to 3385 and 5315, to get
5315 = 3385 x 1 + 1930
Step 3: We consider the new divisor 3385 and the new remainder 1930, and apply the division lemma to get
3385 = 1930 x 1 + 1455
We consider the new divisor 1930 and the new remainder 1455,and apply the division lemma to get
1930 = 1455 x 1 + 475
We consider the new divisor 1455 and the new remainder 475,and apply the division lemma to get
1455 = 475 x 3 + 30
We consider the new divisor 475 and the new remainder 30,and apply the division lemma to get
475 = 30 x 15 + 25
We consider the new divisor 30 and the new remainder 25,and apply the division lemma to get
30 = 25 x 1 + 5
We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get
25 = 5 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5315 and 8700 is 5
Notice that 5 = HCF(25,5) = HCF(30,25) = HCF(475,30) = HCF(1455,475) = HCF(1930,1455) = HCF(3385,1930) = HCF(5315,3385) = HCF(8700,5315) .
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Frequently Asked Questions on HCF of 5315, 8700 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 5315, 8700?
Answer: HCF of 5315, 8700 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5315, 8700 using Euclid's Algorithm?
Answer: For arbitrary numbers 5315, 8700 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.