Highest Common Factor of 7935, 2660 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 7935, 2660 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7935, 2660 is 5 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 7935, 2660 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 7935, 2660 is 5.
HCF(7935, 2660) = 5
HCF of 7935, 2660 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7935, 2660 is 5.
Highest Common Factor of 7935,2660 is 5
Step 1: Since 7935 > 2660, we apply the division lemma to 7935 and 2660, to get
7935 = 2660 x 2 + 2615
Step 2: Since the reminder 2660 ≠ 0, we apply division lemma to 2615 and 2660, to get
2660 = 2615 x 1 + 45
Step 3: We consider the new divisor 2615 and the new remainder 45, and apply the division lemma to get
2615 = 45 x 58 + 5
We consider the new divisor 45 and the new remainder 5, and apply the division lemma to get
45 = 5 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7935 and 2660 is 5
Notice that 5 = HCF(45,5) = HCF(2615,45) = HCF(2660,2615) = HCF(7935,2660) .
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Frequently Asked Questions on HCF of 7935, 2660 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 7935, 2660?
Answer: HCF of 7935, 2660 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7935, 2660 using Euclid's Algorithm?
Answer: For arbitrary numbers 7935, 2660 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.