Highest Common Factor of 2650, 7612 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 2650, 7612 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2650, 7612 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 2650, 7612 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 2650, 7612 is 2.
HCF(2650, 7612) = 2
HCF of 2650, 7612 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2650, 7612 is 2.
Highest Common Factor of 2650,7612 is 2
Step 1: Since 7612 > 2650, we apply the division lemma to 7612 and 2650, to get
7612 = 2650 x 2 + 2312
Step 2: Since the reminder 2650 ≠ 0, we apply division lemma to 2312 and 2650, to get
2650 = 2312 x 1 + 338
Step 3: We consider the new divisor 2312 and the new remainder 338, and apply the division lemma to get
2312 = 338 x 6 + 284
We consider the new divisor 338 and the new remainder 284,and apply the division lemma to get
338 = 284 x 1 + 54
We consider the new divisor 284 and the new remainder 54,and apply the division lemma to get
284 = 54 x 5 + 14
We consider the new divisor 54 and the new remainder 14,and apply the division lemma to get
54 = 14 x 3 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2650 and 7612 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(54,14) = HCF(284,54) = HCF(338,284) = HCF(2312,338) = HCF(2650,2312) = HCF(7612,2650) .
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Frequently Asked Questions on HCF of 2650, 7612 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 2650, 7612?
Answer: HCF of 2650, 7612 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2650, 7612 using Euclid's Algorithm?
Answer: For arbitrary numbers 2650, 7612 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.