Highest Common Factor of 976, 5766 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, 5766 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 976, 5766 is 2 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, 5766 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, 5766 is 2.
HCF(976, 5766) = 2
HCF of 976, 5766 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, 5766 is 2.
Highest Common Factor of 976,5766 is 2
Step 1: Since 5766 > 976, we apply the division lemma to 5766 and 976, to get
5766 = 976 x 5 + 886
Step 2: Since the reminder 976 ≠ 0, we apply division lemma to 886 and 976, to get
976 = 886 x 1 + 90
Step 3: We consider the new divisor 886 and the new remainder 90, and apply the division lemma to get
886 = 90 x 9 + 76
We consider the new divisor 90 and the new remainder 76,and apply the division lemma to get
90 = 76 x 1 + 14
We consider the new divisor 76 and the new remainder 14,and apply the division lemma to get
76 = 14 x 5 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 976 and 5766 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(76,14) = HCF(90,76) = HCF(886,90) = HCF(976,886) = HCF(5766,976) .
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Frequently Asked Questions on HCF of 976, 5766 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, 5766?
Answer: HCF of 976, 5766 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 976, 5766 using Euclid's Algorithm?
Answer: For arbitrary numbers 976, 5766 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.