Highest Common Factor of 8567, 6724 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 8567, 6724 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8567, 6724 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 8567, 6724 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 8567, 6724 is 1.
HCF(8567, 6724) = 1
HCF of 8567, 6724 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8567, 6724 is 1.
Highest Common Factor of 8567,6724 is 1
Step 1: Since 8567 > 6724, we apply the division lemma to 8567 and 6724, to get
8567 = 6724 x 1 + 1843
Step 2: Since the reminder 6724 ≠ 0, we apply division lemma to 1843 and 6724, to get
6724 = 1843 x 3 + 1195
Step 3: We consider the new divisor 1843 and the new remainder 1195, and apply the division lemma to get
1843 = 1195 x 1 + 648
We consider the new divisor 1195 and the new remainder 648,and apply the division lemma to get
1195 = 648 x 1 + 547
We consider the new divisor 648 and the new remainder 547,and apply the division lemma to get
648 = 547 x 1 + 101
We consider the new divisor 547 and the new remainder 101,and apply the division lemma to get
547 = 101 x 5 + 42
We consider the new divisor 101 and the new remainder 42,and apply the division lemma to get
101 = 42 x 2 + 17
We consider the new divisor 42 and the new remainder 17,and apply the division lemma to get
42 = 17 x 2 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8567 and 6724 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(42,17) = HCF(101,42) = HCF(547,101) = HCF(648,547) = HCF(1195,648) = HCF(1843,1195) = HCF(6724,1843) = HCF(8567,6724) .
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Frequently Asked Questions on HCF of 8567, 6724 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 8567, 6724?
Answer: HCF of 8567, 6724 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8567, 6724 using Euclid's Algorithm?
Answer: For arbitrary numbers 8567, 6724 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.