Highest Common Factor of 600, 250 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, 250 i.e. 50 the largest integer that leaves a remainder zero for all numbers.
HCF of 600, 250 is 50 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, 250 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, 250 is 50.
HCF(600, 250) = 50
HCF of 600, 250 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, 250 is 50.
Highest Common Factor of 600,250 is 50
Step 1: Since 600 > 250, we apply the division lemma to 600 and 250, to get
600 = 250 x 2 + 100
Step 2: Since the reminder 250 ≠ 0, we apply division lemma to 100 and 250, to get
250 = 100 x 2 + 50
Step 3: We consider the new divisor 100 and the new remainder 50, and apply the division lemma to get
100 = 50 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 50, the HCF of 600 and 250 is 50
Notice that 50 = HCF(100,50) = HCF(250,100) = HCF(600,250) .
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Frequently Asked Questions on HCF of 600, 250 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, 250?
Answer: HCF of 600, 250 is 50 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 600, 250 using Euclid's Algorithm?
Answer: For arbitrary numbers 600, 250 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
