Highest Common Factor of 8679, 6502 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, 6502 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8679, 6502 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 8679, 6502 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, 6502 is 1.
HCF(8679, 6502) = 1
HCF of 8679, 6502 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, 6502 is 1.
Highest Common Factor of 8679,6502 is 1
Step 1: Since 8679 > 6502, we apply the division lemma to 8679 and 6502, to get
8679 = 6502 x 1 + 2177
Step 2: Since the reminder 6502 ≠ 0, we apply division lemma to 2177 and 6502, to get
6502 = 2177 x 2 + 2148
Step 3: We consider the new divisor 2177 and the new remainder 2148, and apply the division lemma to get
2177 = 2148 x 1 + 29
We consider the new divisor 2148 and the new remainder 29,and apply the division lemma to get
2148 = 29 x 74 + 2
We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get
29 = 2 x 14 + 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 8679 and 6502 is 1
Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(2148,29) = HCF(2177,2148) = HCF(6502,2177) = HCF(8679,6502) .
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Frequently Asked Questions on HCF of 8679, 6502 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, 6502?
Answer: HCF of 8679, 6502 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8679, 6502 using Euclid's Algorithm?
Answer: For arbitrary numbers 8679, 6502 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.