Highest Common Factor of 3132, 5734 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 3132, 5734 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3132, 5734 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 3132, 5734 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 3132, 5734 is 2.
HCF(3132, 5734) = 2
HCF of 3132, 5734 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3132, 5734 is 2.
Highest Common Factor of 3132,5734 is 2
Step 1: Since 5734 > 3132, we apply the division lemma to 5734 and 3132, to get
5734 = 3132 x 1 + 2602
Step 2: Since the reminder 3132 ≠ 0, we apply division lemma to 2602 and 3132, to get
3132 = 2602 x 1 + 530
Step 3: We consider the new divisor 2602 and the new remainder 530, and apply the division lemma to get
2602 = 530 x 4 + 482
We consider the new divisor 530 and the new remainder 482,and apply the division lemma to get
530 = 482 x 1 + 48
We consider the new divisor 482 and the new remainder 48,and apply the division lemma to get
482 = 48 x 10 + 2
We consider the new divisor 48 and the new remainder 2,and apply the division lemma to get
48 = 2 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3132 and 5734 is 2
Notice that 2 = HCF(48,2) = HCF(482,48) = HCF(530,482) = HCF(2602,530) = HCF(3132,2602) = HCF(5734,3132) .
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Frequently Asked Questions on HCF of 3132, 5734 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 3132, 5734?
Answer: HCF of 3132, 5734 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3132, 5734 using Euclid's Algorithm?
Answer: For arbitrary numbers 3132, 5734 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.