Highest Common Factor of 7402, 2646 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 7402, 2646 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7402, 2646 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 7402, 2646 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 7402, 2646 is 2.
HCF(7402, 2646) = 2
HCF of 7402, 2646 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7402, 2646 is 2.
Highest Common Factor of 7402,2646 is 2
Step 1: Since 7402 > 2646, we apply the division lemma to 7402 and 2646, to get
7402 = 2646 x 2 + 2110
Step 2: Since the reminder 2646 ≠ 0, we apply division lemma to 2110 and 2646, to get
2646 = 2110 x 1 + 536
Step 3: We consider the new divisor 2110 and the new remainder 536, and apply the division lemma to get
2110 = 536 x 3 + 502
We consider the new divisor 536 and the new remainder 502,and apply the division lemma to get
536 = 502 x 1 + 34
We consider the new divisor 502 and the new remainder 34,and apply the division lemma to get
502 = 34 x 14 + 26
We consider the new divisor 34 and the new remainder 26,and apply the division lemma to get
34 = 26 x 1 + 8
We consider the new divisor 26 and the new remainder 8,and apply the division lemma to get
26 = 8 x 3 + 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 7402 and 2646 is 2
Notice that 2 = HCF(8,2) = HCF(26,8) = HCF(34,26) = HCF(502,34) = HCF(536,502) = HCF(2110,536) = HCF(2646,2110) = HCF(7402,2646) .
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Frequently Asked Questions on HCF of 7402, 2646 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 7402, 2646?
Answer: HCF of 7402, 2646 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7402, 2646 using Euclid's Algorithm?
Answer: For arbitrary numbers 7402, 2646 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.