Highest Common Factor of 7528, 8379 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 7528, 8379 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7528, 8379 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 7528, 8379 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 7528, 8379 is 1.
HCF(7528, 8379) = 1
HCF of 7528, 8379 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7528, 8379 is 1.
Highest Common Factor of 7528,8379 is 1
Step 1: Since 8379 > 7528, we apply the division lemma to 8379 and 7528, to get
8379 = 7528 x 1 + 851
Step 2: Since the reminder 7528 ≠ 0, we apply division lemma to 851 and 7528, to get
7528 = 851 x 8 + 720
Step 3: We consider the new divisor 851 and the new remainder 720, and apply the division lemma to get
851 = 720 x 1 + 131
We consider the new divisor 720 and the new remainder 131,and apply the division lemma to get
720 = 131 x 5 + 65
We consider the new divisor 131 and the new remainder 65,and apply the division lemma to get
131 = 65 x 2 + 1
We consider the new divisor 65 and the new remainder 1,and apply the division lemma to get
65 = 1 x 65 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7528 and 8379 is 1
Notice that 1 = HCF(65,1) = HCF(131,65) = HCF(720,131) = HCF(851,720) = HCF(7528,851) = HCF(8379,7528) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7528, 8379 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 7528, 8379?
Answer: HCF of 7528, 8379 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7528, 8379 using Euclid's Algorithm?
Answer: For arbitrary numbers 7528, 8379 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.