Highest Common Factor of 976, 8375 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, 8375 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 976, 8375 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, 8375 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, 8375 is 1.
HCF(976, 8375) = 1
HCF of 976, 8375 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, 8375 is 1.
Highest Common Factor of 976,8375 is 1
Step 1: Since 8375 > 976, we apply the division lemma to 8375 and 976, to get
8375 = 976 x 8 + 567
Step 2: Since the reminder 976 ≠ 0, we apply division lemma to 567 and 976, to get
976 = 567 x 1 + 409
Step 3: We consider the new divisor 567 and the new remainder 409, and apply the division lemma to get
567 = 409 x 1 + 158
We consider the new divisor 409 and the new remainder 158,and apply the division lemma to get
409 = 158 x 2 + 93
We consider the new divisor 158 and the new remainder 93,and apply the division lemma to get
158 = 93 x 1 + 65
We consider the new divisor 93 and the new remainder 65,and apply the division lemma to get
93 = 65 x 1 + 28
We consider the new divisor 65 and the new remainder 28,and apply the division lemma to get
65 = 28 x 2 + 9
We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get
28 = 9 x 3 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 976 and 8375 is 1
Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(65,28) = HCF(93,65) = HCF(158,93) = HCF(409,158) = HCF(567,409) = HCF(976,567) = HCF(8375,976) .
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Frequently Asked Questions on HCF of 976, 8375 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, 8375?
Answer: HCF of 976, 8375 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 976, 8375 using Euclid's Algorithm?
Answer: For arbitrary numbers 976, 8375 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.