Highest Common Factor of 2625, 9600 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 2625, 9600 i.e. 75 the largest integer that leaves a remainder zero for all numbers.
HCF of 2625, 9600 is 75 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 2625, 9600 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 2625, 9600 is 75.
HCF(2625, 9600) = 75
HCF of 2625, 9600 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2625, 9600 is 75.
Highest Common Factor of 2625,9600 is 75
Step 1: Since 9600 > 2625, we apply the division lemma to 9600 and 2625, to get
9600 = 2625 x 3 + 1725
Step 2: Since the reminder 2625 ≠ 0, we apply division lemma to 1725 and 2625, to get
2625 = 1725 x 1 + 900
Step 3: We consider the new divisor 1725 and the new remainder 900, and apply the division lemma to get
1725 = 900 x 1 + 825
We consider the new divisor 900 and the new remainder 825,and apply the division lemma to get
900 = 825 x 1 + 75
We consider the new divisor 825 and the new remainder 75,and apply the division lemma to get
825 = 75 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 75, the HCF of 2625 and 9600 is 75
Notice that 75 = HCF(825,75) = HCF(900,825) = HCF(1725,900) = HCF(2625,1725) = HCF(9600,2625) .
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Frequently Asked Questions on HCF of 2625, 9600 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 2625, 9600?
Answer: HCF of 2625, 9600 is 75 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2625, 9600 using Euclid's Algorithm?
Answer: For arbitrary numbers 2625, 9600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.