Highest Common Factor of 6502, 8632 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 6502, 8632 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6502, 8632 is 2 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 6502, 8632 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 6502, 8632 is 2.
HCF(6502, 8632) = 2
HCF of 6502, 8632 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6502, 8632 is 2.
Highest Common Factor of 6502,8632 is 2
Step 1: Since 8632 > 6502, we apply the division lemma to 8632 and 6502, to get
8632 = 6502 x 1 + 2130
Step 2: Since the reminder 6502 ≠ 0, we apply division lemma to 2130 and 6502, to get
6502 = 2130 x 3 + 112
Step 3: We consider the new divisor 2130 and the new remainder 112, and apply the division lemma to get
2130 = 112 x 19 + 2
We consider the new divisor 112 and the new remainder 2, and apply the division lemma to get
112 = 2 x 56 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6502 and 8632 is 2
Notice that 2 = HCF(112,2) = HCF(2130,112) = HCF(6502,2130) = HCF(8632,6502) .
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Frequently Asked Questions on HCF of 6502, 8632 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 6502, 8632?
Answer: HCF of 6502, 8632 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6502, 8632 using Euclid's Algorithm?
Answer: For arbitrary numbers 6502, 8632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
