Highest Common Factor of 925, 600 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 925, 600 i.e. 25 the largest integer that leaves a remainder zero for all numbers.
HCF of 925, 600 is 25 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 925, 600 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 925, 600 is 25.
HCF(925, 600) = 25
HCF of 925, 600 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 925, 600 is 25.
Highest Common Factor of 925,600 is 25
Step 1: Since 925 > 600, we apply the division lemma to 925 and 600, to get
925 = 600 x 1 + 325
Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 325 and 600, to get
600 = 325 x 1 + 275
Step 3: We consider the new divisor 325 and the new remainder 275, and apply the division lemma to get
325 = 275 x 1 + 50
We consider the new divisor 275 and the new remainder 50,and apply the division lemma to get
275 = 50 x 5 + 25
We consider the new divisor 50 and the new remainder 25,and apply the division lemma to get
50 = 25 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 925 and 600 is 25
Notice that 25 = HCF(50,25) = HCF(275,50) = HCF(325,275) = HCF(600,325) = HCF(925,600) .
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Frequently Asked Questions on HCF of 925, 600 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 925, 600?
Answer: HCF of 925, 600 is 25 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 925, 600 using Euclid's Algorithm?
Answer: For arbitrary numbers 925, 600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.