Highest Common Factor of 5687, 8500 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 5687, 8500 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5687, 8500 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 5687, 8500 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 5687, 8500 is 1.
HCF(5687, 8500) = 1
HCF of 5687, 8500 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5687, 8500 is 1.
Highest Common Factor of 5687,8500 is 1
Step 1: Since 8500 > 5687, we apply the division lemma to 8500 and 5687, to get
8500 = 5687 x 1 + 2813
Step 2: Since the reminder 5687 ≠ 0, we apply division lemma to 2813 and 5687, to get
5687 = 2813 x 2 + 61
Step 3: We consider the new divisor 2813 and the new remainder 61, and apply the division lemma to get
2813 = 61 x 46 + 7
We consider the new divisor 61 and the new remainder 7,and apply the division lemma to get
61 = 7 x 8 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 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 5687 and 8500 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(61,7) = HCF(2813,61) = HCF(5687,2813) = HCF(8500,5687) .
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Frequently Asked Questions on HCF of 5687, 8500 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 5687, 8500?
Answer: HCF of 5687, 8500 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5687, 8500 using Euclid's Algorithm?
Answer: For arbitrary numbers 5687, 8500 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.