Highest Common Factor of 976, 5295 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 976, 5295 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 976, 5295 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 976, 5295 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 976, 5295 is 1.
HCF(976, 5295) = 1
HCF of 976, 5295 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 976, 5295 is 1.
Highest Common Factor of 976,5295 is 1
Step 1: Since 5295 > 976, we apply the division lemma to 5295 and 976, to get
5295 = 976 x 5 + 415
Step 2: Since the reminder 976 ≠ 0, we apply division lemma to 415 and 976, to get
976 = 415 x 2 + 146
Step 3: We consider the new divisor 415 and the new remainder 146, and apply the division lemma to get
415 = 146 x 2 + 123
We consider the new divisor 146 and the new remainder 123,and apply the division lemma to get
146 = 123 x 1 + 23
We consider the new divisor 123 and the new remainder 23,and apply the division lemma to get
123 = 23 x 5 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 976 and 5295 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(123,23) = HCF(146,123) = HCF(415,146) = HCF(976,415) = HCF(5295,976) .
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Frequently Asked Questions on HCF of 976, 5295 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 976, 5295?
Answer: HCF of 976, 5295 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 976, 5295 using Euclid's Algorithm?
Answer: For arbitrary numbers 976, 5295 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.