Highest Common Factor of 7532, 5230 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 7532, 5230 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7532, 5230 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 7532, 5230 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 7532, 5230 is 2.
HCF(7532, 5230) = 2
HCF of 7532, 5230 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7532, 5230 is 2.
Highest Common Factor of 7532,5230 is 2
Step 1: Since 7532 > 5230, we apply the division lemma to 7532 and 5230, to get
7532 = 5230 x 1 + 2302
Step 2: Since the reminder 5230 ≠ 0, we apply division lemma to 2302 and 5230, to get
5230 = 2302 x 2 + 626
Step 3: We consider the new divisor 2302 and the new remainder 626, and apply the division lemma to get
2302 = 626 x 3 + 424
We consider the new divisor 626 and the new remainder 424,and apply the division lemma to get
626 = 424 x 1 + 202
We consider the new divisor 424 and the new remainder 202,and apply the division lemma to get
424 = 202 x 2 + 20
We consider the new divisor 202 and the new remainder 20,and apply the division lemma to get
202 = 20 x 10 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7532 and 5230 is 2
Notice that 2 = HCF(20,2) = HCF(202,20) = HCF(424,202) = HCF(626,424) = HCF(2302,626) = HCF(5230,2302) = HCF(7532,5230) .
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Frequently Asked Questions on HCF of 7532, 5230 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 7532, 5230?
Answer: HCF of 7532, 5230 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7532, 5230 using Euclid's Algorithm?
Answer: For arbitrary numbers 7532, 5230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
