Highest Common Factor of 3257, 2724, 57882 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 3257, 2724, 57882 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3257, 2724, 57882 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 3257, 2724, 57882 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 3257, 2724, 57882 is 1.
HCF(3257, 2724, 57882) = 1
HCF of 3257, 2724, 57882 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3257, 2724, 57882 is 1.
Highest Common Factor of 3257,2724,57882 is 1
Step 1: Since 3257 > 2724, we apply the division lemma to 3257 and 2724, to get
3257 = 2724 x 1 + 533
Step 2: Since the reminder 2724 ≠ 0, we apply division lemma to 533 and 2724, to get
2724 = 533 x 5 + 59
Step 3: We consider the new divisor 533 and the new remainder 59, and apply the division lemma to get
533 = 59 x 9 + 2
We consider the new divisor 59 and the new remainder 2,and apply the division lemma to get
59 = 2 x 29 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3257 and 2724 is 1
Notice that 1 = HCF(2,1) = HCF(59,2) = HCF(533,59) = HCF(2724,533) = HCF(3257,2724) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 57882 > 1, we apply the division lemma to 57882 and 1, to get
57882 = 1 x 57882 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57882 is 1
Notice that 1 = HCF(57882,1) .
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Frequently Asked Questions on HCF of 3257, 2724, 57882 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 3257, 2724, 57882?
Answer: HCF of 3257, 2724, 57882 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3257, 2724, 57882 using Euclid's Algorithm?
Answer: For arbitrary numbers 3257, 2724, 57882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.