Highest Common Factor of 7971, 9259, 47487 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 7971, 9259, 47487 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7971, 9259, 47487 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 7971, 9259, 47487 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 7971, 9259, 47487 is 1.
HCF(7971, 9259, 47487) = 1
HCF of 7971, 9259, 47487 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7971, 9259, 47487 is 1.
Highest Common Factor of 7971,9259,47487 is 1
Step 1: Since 9259 > 7971, we apply the division lemma to 9259 and 7971, to get
9259 = 7971 x 1 + 1288
Step 2: Since the reminder 7971 ≠ 0, we apply division lemma to 1288 and 7971, to get
7971 = 1288 x 6 + 243
Step 3: We consider the new divisor 1288 and the new remainder 243, and apply the division lemma to get
1288 = 243 x 5 + 73
We consider the new divisor 243 and the new remainder 73,and apply the division lemma to get
243 = 73 x 3 + 24
We consider the new divisor 73 and the new remainder 24,and apply the division lemma to get
73 = 24 x 3 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7971 and 9259 is 1
Notice that 1 = HCF(24,1) = HCF(73,24) = HCF(243,73) = HCF(1288,243) = HCF(7971,1288) = HCF(9259,7971) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 47487 > 1, we apply the division lemma to 47487 and 1, to get
47487 = 1 x 47487 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 47487 is 1
Notice that 1 = HCF(47487,1) .
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Frequently Asked Questions on HCF of 7971, 9259, 47487 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 7971, 9259, 47487?
Answer: HCF of 7971, 9259, 47487 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7971, 9259, 47487 using Euclid's Algorithm?
Answer: For arbitrary numbers 7971, 9259, 47487 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.