Highest Common Factor of 640, 98432 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, 98432 i.e. 128 the largest integer that leaves a remainder zero for all numbers.
HCF of 640, 98432 is 128 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, 98432 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, 98432 is 128.
HCF(640, 98432) = 128
HCF of 640, 98432 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, 98432 is 128.
Highest Common Factor of 640,98432 is 128
Step 1: Since 98432 > 640, we apply the division lemma to 98432 and 640, to get
98432 = 640 x 153 + 512
Step 2: Since the reminder 640 ≠ 0, we apply division lemma to 512 and 640, to get
640 = 512 x 1 + 128
Step 3: We consider the new divisor 512 and the new remainder 128, and apply the division lemma to get
512 = 128 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 128, the HCF of 640 and 98432 is 128
Notice that 128 = HCF(512,128) = HCF(640,512) = HCF(98432,640) .
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Frequently Asked Questions on HCF of 640, 98432 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, 98432?
Answer: HCF of 640, 98432 is 128 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 640, 98432 using Euclid's Algorithm?
Answer: For arbitrary numbers 640, 98432 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.