Highest Common Factor of 5282, 9860 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 5282, 9860 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5282, 9860 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 5282, 9860 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 5282, 9860 is 2.
HCF(5282, 9860) = 2
HCF of 5282, 9860 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5282, 9860 is 2.
Highest Common Factor of 5282,9860 is 2
Step 1: Since 9860 > 5282, we apply the division lemma to 9860 and 5282, to get
9860 = 5282 x 1 + 4578
Step 2: Since the reminder 5282 ≠ 0, we apply division lemma to 4578 and 5282, to get
5282 = 4578 x 1 + 704
Step 3: We consider the new divisor 4578 and the new remainder 704, and apply the division lemma to get
4578 = 704 x 6 + 354
We consider the new divisor 704 and the new remainder 354,and apply the division lemma to get
704 = 354 x 1 + 350
We consider the new divisor 354 and the new remainder 350,and apply the division lemma to get
354 = 350 x 1 + 4
We consider the new divisor 350 and the new remainder 4,and apply the division lemma to get
350 = 4 x 87 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5282 and 9860 is 2
Notice that 2 = HCF(4,2) = HCF(350,4) = HCF(354,350) = HCF(704,354) = HCF(4578,704) = HCF(5282,4578) = HCF(9860,5282) .
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Frequently Asked Questions on HCF of 5282, 9860 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 5282, 9860?
Answer: HCF of 5282, 9860 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5282, 9860 using Euclid's Algorithm?
Answer: For arbitrary numbers 5282, 9860 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.