Highest Common Factor of 7968, 7115 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 7968, 7115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7968, 7115 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 7968, 7115 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 7968, 7115 is 1.
HCF(7968, 7115) = 1
HCF of 7968, 7115 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7968, 7115 is 1.
Highest Common Factor of 7968,7115 is 1
Step 1: Since 7968 > 7115, we apply the division lemma to 7968 and 7115, to get
7968 = 7115 x 1 + 853
Step 2: Since the reminder 7115 ≠ 0, we apply division lemma to 853 and 7115, to get
7115 = 853 x 8 + 291
Step 3: We consider the new divisor 853 and the new remainder 291, and apply the division lemma to get
853 = 291 x 2 + 271
We consider the new divisor 291 and the new remainder 271,and apply the division lemma to get
291 = 271 x 1 + 20
We consider the new divisor 271 and the new remainder 20,and apply the division lemma to get
271 = 20 x 13 + 11
We consider the new divisor 20 and the new remainder 11,and apply the division lemma to get
20 = 11 x 1 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 7968 and 7115 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(20,11) = HCF(271,20) = HCF(291,271) = HCF(853,291) = HCF(7115,853) = HCF(7968,7115) .
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Frequently Asked Questions on HCF of 7968, 7115 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 7968, 7115?
Answer: HCF of 7968, 7115 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7968, 7115 using Euclid's Algorithm?
Answer: For arbitrary numbers 7968, 7115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.