Highest Common Factor of 1522, 6492 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 1522, 6492 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1522, 6492 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 1522, 6492 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 1522, 6492 is 2.
HCF(1522, 6492) = 2
HCF of 1522, 6492 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1522, 6492 is 2.
Highest Common Factor of 1522,6492 is 2
Step 1: Since 6492 > 1522, we apply the division lemma to 6492 and 1522, to get
6492 = 1522 x 4 + 404
Step 2: Since the reminder 1522 ≠ 0, we apply division lemma to 404 and 1522, to get
1522 = 404 x 3 + 310
Step 3: We consider the new divisor 404 and the new remainder 310, and apply the division lemma to get
404 = 310 x 1 + 94
We consider the new divisor 310 and the new remainder 94,and apply the division lemma to get
310 = 94 x 3 + 28
We consider the new divisor 94 and the new remainder 28,and apply the division lemma to get
94 = 28 x 3 + 10
We consider the new divisor 28 and the new remainder 10,and apply the division lemma to get
28 = 10 x 2 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1522 and 6492 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(28,10) = HCF(94,28) = HCF(310,94) = HCF(404,310) = HCF(1522,404) = HCF(6492,1522) .
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Frequently Asked Questions on HCF of 1522, 6492 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 1522, 6492?
Answer: HCF of 1522, 6492 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1522, 6492 using Euclid's Algorithm?
Answer: For arbitrary numbers 1522, 6492 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
