Highest Common Factor of 1250, 9375, 15625 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 1250, 9375, 15625 i.e. 625 the largest integer that leaves a remainder zero for all numbers.
HCF of 1250, 9375, 15625 is 625 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 1250, 9375, 15625 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 1250, 9375, 15625 is 625.
HCF(1250, 9375, 15625) = 625
HCF of 1250, 9375, 15625 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1250, 9375, 15625 is 625.
Highest Common Factor of 1250,9375,15625 is 625
Step 1: Since 9375 > 1250, we apply the division lemma to 9375 and 1250, to get
9375 = 1250 x 7 + 625
Step 2: Since the reminder 1250 ≠ 0, we apply division lemma to 625 and 1250, to get
1250 = 625 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 625, the HCF of 1250 and 9375 is 625
Notice that 625 = HCF(1250,625) = HCF(9375,1250) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 15625 > 625, we apply the division lemma to 15625 and 625, to get
15625 = 625 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 625, the HCF of 625 and 15625 is 625
Notice that 625 = HCF(15625,625) .
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Frequently Asked Questions on HCF of 1250, 9375, 15625 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 1250, 9375, 15625?
Answer: HCF of 1250, 9375, 15625 is 625 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1250, 9375, 15625 using Euclid's Algorithm?
Answer: For arbitrary numbers 1250, 9375, 15625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.