Highest Common Factor of 9480, 2674 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 9480, 2674 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9480, 2674 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 9480, 2674 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 9480, 2674 is 2.
HCF(9480, 2674) = 2
HCF of 9480, 2674 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9480, 2674 is 2.
Highest Common Factor of 9480,2674 is 2
Step 1: Since 9480 > 2674, we apply the division lemma to 9480 and 2674, to get
9480 = 2674 x 3 + 1458
Step 2: Since the reminder 2674 ≠ 0, we apply division lemma to 1458 and 2674, to get
2674 = 1458 x 1 + 1216
Step 3: We consider the new divisor 1458 and the new remainder 1216, and apply the division lemma to get
1458 = 1216 x 1 + 242
We consider the new divisor 1216 and the new remainder 242,and apply the division lemma to get
1216 = 242 x 5 + 6
We consider the new divisor 242 and the new remainder 6,and apply the division lemma to get
242 = 6 x 40 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9480 and 2674 is 2
Notice that 2 = HCF(6,2) = HCF(242,6) = HCF(1216,242) = HCF(1458,1216) = HCF(2674,1458) = HCF(9480,2674) .
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Frequently Asked Questions on HCF of 9480, 2674 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 9480, 2674?
Answer: HCF of 9480, 2674 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9480, 2674 using Euclid's Algorithm?
Answer: For arbitrary numbers 9480, 2674 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.