Highest Common Factor of 7515, 8916 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 7515, 8916 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7515, 8916 is 3 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 7515, 8916 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 7515, 8916 is 3.
HCF(7515, 8916) = 3
HCF of 7515, 8916 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7515, 8916 is 3.
Highest Common Factor of 7515,8916 is 3
Step 1: Since 8916 > 7515, we apply the division lemma to 8916 and 7515, to get
8916 = 7515 x 1 + 1401
Step 2: Since the reminder 7515 ≠ 0, we apply division lemma to 1401 and 7515, to get
7515 = 1401 x 5 + 510
Step 3: We consider the new divisor 1401 and the new remainder 510, and apply the division lemma to get
1401 = 510 x 2 + 381
We consider the new divisor 510 and the new remainder 381,and apply the division lemma to get
510 = 381 x 1 + 129
We consider the new divisor 381 and the new remainder 129,and apply the division lemma to get
381 = 129 x 2 + 123
We consider the new divisor 129 and the new remainder 123,and apply the division lemma to get
129 = 123 x 1 + 6
We consider the new divisor 123 and the new remainder 6,and apply the division lemma to get
123 = 6 x 20 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7515 and 8916 is 3
Notice that 3 = HCF(6,3) = HCF(123,6) = HCF(129,123) = HCF(381,129) = HCF(510,381) = HCF(1401,510) = HCF(7515,1401) = HCF(8916,7515) .
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Frequently Asked Questions on HCF of 7515, 8916 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 7515, 8916?
Answer: HCF of 7515, 8916 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7515, 8916 using Euclid's Algorithm?
Answer: For arbitrary numbers 7515, 8916 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
