Highest Common Factor of 6466, 9622 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 6466, 9622 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6466, 9622 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 6466, 9622 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 6466, 9622 is 2.
HCF(6466, 9622) = 2
HCF of 6466, 9622 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6466, 9622 is 2.
Highest Common Factor of 6466,9622 is 2
Step 1: Since 9622 > 6466, we apply the division lemma to 9622 and 6466, to get
9622 = 6466 x 1 + 3156
Step 2: Since the reminder 6466 ≠ 0, we apply division lemma to 3156 and 6466, to get
6466 = 3156 x 2 + 154
Step 3: We consider the new divisor 3156 and the new remainder 154, and apply the division lemma to get
3156 = 154 x 20 + 76
We consider the new divisor 154 and the new remainder 76,and apply the division lemma to get
154 = 76 x 2 + 2
We consider the new divisor 76 and the new remainder 2,and apply the division lemma to get
76 = 2 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6466 and 9622 is 2
Notice that 2 = HCF(76,2) = HCF(154,76) = HCF(3156,154) = HCF(6466,3156) = HCF(9622,6466) .
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Frequently Asked Questions on HCF of 6466, 9622 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 6466, 9622?
Answer: HCF of 6466, 9622 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6466, 9622 using Euclid's Algorithm?
Answer: For arbitrary numbers 6466, 9622 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
