Highest Common Factor of 6522, 6132 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 6522, 6132 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 6522, 6132 is 6 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 6522, 6132 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 6522, 6132 is 6.
HCF(6522, 6132) = 6
HCF of 6522, 6132 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6522, 6132 is 6.
Highest Common Factor of 6522,6132 is 6
Step 1: Since 6522 > 6132, we apply the division lemma to 6522 and 6132, to get
6522 = 6132 x 1 + 390
Step 2: Since the reminder 6132 ≠ 0, we apply division lemma to 390 and 6132, to get
6132 = 390 x 15 + 282
Step 3: We consider the new divisor 390 and the new remainder 282, and apply the division lemma to get
390 = 282 x 1 + 108
We consider the new divisor 282 and the new remainder 108,and apply the division lemma to get
282 = 108 x 2 + 66
We consider the new divisor 108 and the new remainder 66,and apply the division lemma to get
108 = 66 x 1 + 42
We consider the new divisor 66 and the new remainder 42,and apply the division lemma to get
66 = 42 x 1 + 24
We consider the new divisor 42 and the new remainder 24,and apply the division lemma to get
42 = 24 x 1 + 18
We consider the new divisor 24 and the new remainder 18,and apply the division lemma to get
24 = 18 x 1 + 6
We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get
18 = 6 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 6522 and 6132 is 6
Notice that 6 = HCF(18,6) = HCF(24,18) = HCF(42,24) = HCF(66,42) = HCF(108,66) = HCF(282,108) = HCF(390,282) = HCF(6132,390) = HCF(6522,6132) .
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Frequently Asked Questions on HCF of 6522, 6132 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 6522, 6132?
Answer: HCF of 6522, 6132 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6522, 6132 using Euclid's Algorithm?
Answer: For arbitrary numbers 6522, 6132 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.