Highest Common Factor of 8679, 6477 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 8679, 6477 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8679, 6477 is 3 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 8679, 6477 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 8679, 6477 is 3.
HCF(8679, 6477) = 3
HCF of 8679, 6477 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8679, 6477 is 3.
Highest Common Factor of 8679,6477 is 3
Step 1: Since 8679 > 6477, we apply the division lemma to 8679 and 6477, to get
8679 = 6477 x 1 + 2202
Step 2: Since the reminder 6477 ≠ 0, we apply division lemma to 2202 and 6477, to get
6477 = 2202 x 2 + 2073
Step 3: We consider the new divisor 2202 and the new remainder 2073, and apply the division lemma to get
2202 = 2073 x 1 + 129
We consider the new divisor 2073 and the new remainder 129,and apply the division lemma to get
2073 = 129 x 16 + 9
We consider the new divisor 129 and the new remainder 9,and apply the division lemma to get
129 = 9 x 14 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8679 and 6477 is 3
Notice that 3 = HCF(9,3) = HCF(129,9) = HCF(2073,129) = HCF(2202,2073) = HCF(6477,2202) = HCF(8679,6477) .
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Frequently Asked Questions on HCF of 8679, 6477 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 8679, 6477?
Answer: HCF of 8679, 6477 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8679, 6477 using Euclid's Algorithm?
Answer: For arbitrary numbers 8679, 6477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.