Highest Common Factor of 7638, 7975 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 7638, 7975 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7638, 7975 is 1 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 7638, 7975 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 7638, 7975 is 1.
HCF(7638, 7975) = 1
HCF of 7638, 7975 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7638, 7975 is 1.
Highest Common Factor of 7638,7975 is 1
Step 1: Since 7975 > 7638, we apply the division lemma to 7975 and 7638, to get
7975 = 7638 x 1 + 337
Step 2: Since the reminder 7638 ≠ 0, we apply division lemma to 337 and 7638, to get
7638 = 337 x 22 + 224
Step 3: We consider the new divisor 337 and the new remainder 224, and apply the division lemma to get
337 = 224 x 1 + 113
We consider the new divisor 224 and the new remainder 113,and apply the division lemma to get
224 = 113 x 1 + 111
We consider the new divisor 113 and the new remainder 111,and apply the division lemma to get
113 = 111 x 1 + 2
We consider the new divisor 111 and the new remainder 2,and apply the division lemma to get
111 = 2 x 55 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7638 and 7975 is 1
Notice that 1 = HCF(2,1) = HCF(111,2) = HCF(113,111) = HCF(224,113) = HCF(337,224) = HCF(7638,337) = HCF(7975,7638) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7638, 7975 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 7638, 7975?
Answer: HCF of 7638, 7975 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7638, 7975 using Euclid's Algorithm?
Answer: For arbitrary numbers 7638, 7975 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.