Highest Common Factor of 957, 811, 76, 992 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 957, 811, 76, 992 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 957, 811, 76, 992 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 957, 811, 76, 992 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 957, 811, 76, 992 is 1.
HCF(957, 811, 76, 992) = 1
HCF of 957, 811, 76, 992 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 957, 811, 76, 992 is 1.
Highest Common Factor of 957,811,76,992 is 1
Step 1: Since 957 > 811, we apply the division lemma to 957 and 811, to get
957 = 811 x 1 + 146
Step 2: Since the reminder 811 ≠ 0, we apply division lemma to 146 and 811, to get
811 = 146 x 5 + 81
Step 3: We consider the new divisor 146 and the new remainder 81, and apply the division lemma to get
146 = 81 x 1 + 65
We consider the new divisor 81 and the new remainder 65,and apply the division lemma to get
81 = 65 x 1 + 16
We consider the new divisor 65 and the new remainder 16,and apply the division lemma to get
65 = 16 x 4 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 957 and 811 is 1
Notice that 1 = HCF(16,1) = HCF(65,16) = HCF(81,65) = HCF(146,81) = HCF(811,146) = HCF(957,811) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 76 > 1, we apply the division lemma to 76 and 1, to get
76 = 1 x 76 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 76 is 1
Notice that 1 = HCF(76,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 992 > 1, we apply the division lemma to 992 and 1, to get
992 = 1 x 992 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 992 is 1
Notice that 1 = HCF(992,1) .
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Frequently Asked Questions on HCF of 957, 811, 76, 992 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 957, 811, 76, 992?
Answer: HCF of 957, 811, 76, 992 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 957, 811, 76, 992 using Euclid's Algorithm?
Answer: For arbitrary numbers 957, 811, 76, 992 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.