Highest Common Factor of 7015, 8315 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 7015, 8315 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7015, 8315 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 7015, 8315 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 7015, 8315 is 5.
HCF(7015, 8315) = 5
HCF of 7015, 8315 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7015, 8315 is 5.
Highest Common Factor of 7015,8315 is 5
Step 1: Since 8315 > 7015, we apply the division lemma to 8315 and 7015, to get
8315 = 7015 x 1 + 1300
Step 2: Since the reminder 7015 ≠ 0, we apply division lemma to 1300 and 7015, to get
7015 = 1300 x 5 + 515
Step 3: We consider the new divisor 1300 and the new remainder 515, and apply the division lemma to get
1300 = 515 x 2 + 270
We consider the new divisor 515 and the new remainder 270,and apply the division lemma to get
515 = 270 x 1 + 245
We consider the new divisor 270 and the new remainder 245,and apply the division lemma to get
270 = 245 x 1 + 25
We consider the new divisor 245 and the new remainder 25,and apply the division lemma to get
245 = 25 x 9 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7015 and 8315 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(245,25) = HCF(270,245) = HCF(515,270) = HCF(1300,515) = HCF(7015,1300) = HCF(8315,7015) .
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Frequently Asked Questions on HCF of 7015, 8315 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 7015, 8315?
Answer: HCF of 7015, 8315 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7015, 8315 using Euclid's Algorithm?
Answer: For arbitrary numbers 7015, 8315 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.