Highest Common Factor of 9127, 4707, 96477 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 9127, 4707, 96477 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9127, 4707, 96477 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 9127, 4707, 96477 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 9127, 4707, 96477 is 1.
HCF(9127, 4707, 96477) = 1
HCF of 9127, 4707, 96477 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9127, 4707, 96477 is 1.
Highest Common Factor of 9127,4707,96477 is 1
Step 1: Since 9127 > 4707, we apply the division lemma to 9127 and 4707, to get
9127 = 4707 x 1 + 4420
Step 2: Since the reminder 4707 ≠ 0, we apply division lemma to 4420 and 4707, to get
4707 = 4420 x 1 + 287
Step 3: We consider the new divisor 4420 and the new remainder 287, and apply the division lemma to get
4420 = 287 x 15 + 115
We consider the new divisor 287 and the new remainder 115,and apply the division lemma to get
287 = 115 x 2 + 57
We consider the new divisor 115 and the new remainder 57,and apply the division lemma to get
115 = 57 x 2 + 1
We consider the new divisor 57 and the new remainder 1,and apply the division lemma to get
57 = 1 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9127 and 4707 is 1
Notice that 1 = HCF(57,1) = HCF(115,57) = HCF(287,115) = HCF(4420,287) = HCF(4707,4420) = HCF(9127,4707) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96477 > 1, we apply the division lemma to 96477 and 1, to get
96477 = 1 x 96477 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96477 is 1
Notice that 1 = HCF(96477,1) .
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Frequently Asked Questions on HCF of 9127, 4707, 96477 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 9127, 4707, 96477?
Answer: HCF of 9127, 4707, 96477 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9127, 4707, 96477 using Euclid's Algorithm?
Answer: For arbitrary numbers 9127, 4707, 96477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.