Highest Common Factor of 600, 57280 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 600, 57280 i.e. 40 the largest integer that leaves a remainder zero for all numbers.
HCF of 600, 57280 is 40 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 600, 57280 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 600, 57280 is 40.
HCF(600, 57280) = 40
HCF of 600, 57280 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 600, 57280 is 40.
Highest Common Factor of 600,57280 is 40
Step 1: Since 57280 > 600, we apply the division lemma to 57280 and 600, to get
57280 = 600 x 95 + 280
Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 280 and 600, to get
600 = 280 x 2 + 40
Step 3: We consider the new divisor 280 and the new remainder 40, and apply the division lemma to get
280 = 40 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 40, the HCF of 600 and 57280 is 40
Notice that 40 = HCF(280,40) = HCF(600,280) = HCF(57280,600) .
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Frequently Asked Questions on HCF of 600, 57280 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 600, 57280?
Answer: HCF of 600, 57280 is 40 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 600, 57280 using Euclid's Algorithm?
Answer: For arbitrary numbers 600, 57280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.