Highest Common Factor of 5230, 6542 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 5230, 6542 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5230, 6542 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 5230, 6542 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 5230, 6542 is 2.
HCF(5230, 6542) = 2
HCF of 5230, 6542 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5230, 6542 is 2.
Highest Common Factor of 5230,6542 is 2
Step 1: Since 6542 > 5230, we apply the division lemma to 6542 and 5230, to get
6542 = 5230 x 1 + 1312
Step 2: Since the reminder 5230 ≠ 0, we apply division lemma to 1312 and 5230, to get
5230 = 1312 x 3 + 1294
Step 3: We consider the new divisor 1312 and the new remainder 1294, and apply the division lemma to get
1312 = 1294 x 1 + 18
We consider the new divisor 1294 and the new remainder 18,and apply the division lemma to get
1294 = 18 x 71 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5230 and 6542 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(1294,18) = HCF(1312,1294) = HCF(5230,1312) = HCF(6542,5230) .
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Frequently Asked Questions on HCF of 5230, 6542 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 5230, 6542?
Answer: HCF of 5230, 6542 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5230, 6542 using Euclid's Algorithm?
Answer: For arbitrary numbers 5230, 6542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.