Highest Common Factor of 640, 4282 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 640, 4282 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 640, 4282 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 640, 4282 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 640, 4282 is 2.
HCF(640, 4282) = 2
HCF of 640, 4282 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 640, 4282 is 2.
Highest Common Factor of 640,4282 is 2
Step 1: Since 4282 > 640, we apply the division lemma to 4282 and 640, to get
4282 = 640 x 6 + 442
Step 2: Since the reminder 640 ≠ 0, we apply division lemma to 442 and 640, to get
640 = 442 x 1 + 198
Step 3: We consider the new divisor 442 and the new remainder 198, and apply the division lemma to get
442 = 198 x 2 + 46
We consider the new divisor 198 and the new remainder 46,and apply the division lemma to get
198 = 46 x 4 + 14
We consider the new divisor 46 and the new remainder 14,and apply the division lemma to get
46 = 14 x 3 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 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 640 and 4282 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(46,14) = HCF(198,46) = HCF(442,198) = HCF(640,442) = HCF(4282,640) .
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Frequently Asked Questions on HCF of 640, 4282 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 640, 4282?
Answer: HCF of 640, 4282 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 640, 4282 using Euclid's Algorithm?
Answer: For arbitrary numbers 640, 4282 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.