Highest Common Factor of 6260, 3622 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 6260, 3622 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6260, 3622 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 6260, 3622 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 6260, 3622 is 2.
HCF(6260, 3622) = 2
HCF of 6260, 3622 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6260, 3622 is 2.
Highest Common Factor of 6260,3622 is 2
Step 1: Since 6260 > 3622, we apply the division lemma to 6260 and 3622, to get
6260 = 3622 x 1 + 2638
Step 2: Since the reminder 3622 ≠ 0, we apply division lemma to 2638 and 3622, to get
3622 = 2638 x 1 + 984
Step 3: We consider the new divisor 2638 and the new remainder 984, and apply the division lemma to get
2638 = 984 x 2 + 670
We consider the new divisor 984 and the new remainder 670,and apply the division lemma to get
984 = 670 x 1 + 314
We consider the new divisor 670 and the new remainder 314,and apply the division lemma to get
670 = 314 x 2 + 42
We consider the new divisor 314 and the new remainder 42,and apply the division lemma to get
314 = 42 x 7 + 20
We consider the new divisor 42 and the new remainder 20,and apply the division lemma to get
42 = 20 x 2 + 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 6260 and 3622 is 2
Notice that 2 = HCF(20,2) = HCF(42,20) = HCF(314,42) = HCF(670,314) = HCF(984,670) = HCF(2638,984) = HCF(3622,2638) = HCF(6260,3622) .
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Frequently Asked Questions on HCF of 6260, 3622 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 6260, 3622?
Answer: HCF of 6260, 3622 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6260, 3622 using Euclid's Algorithm?
Answer: For arbitrary numbers 6260, 3622 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.