Highest Common Factor of 8425, 1925 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 8425, 1925 i.e. 25 the largest integer that leaves a remainder zero for all numbers.
HCF of 8425, 1925 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 8425, 1925 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 8425, 1925 is 25.
HCF(8425, 1925) = 25
HCF of 8425, 1925 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8425, 1925 is 25.
Highest Common Factor of 8425,1925 is 25
Step 1: Since 8425 > 1925, we apply the division lemma to 8425 and 1925, to get
8425 = 1925 x 4 + 725
Step 2: Since the reminder 1925 ≠ 0, we apply division lemma to 725 and 1925, to get
1925 = 725 x 2 + 475
Step 3: We consider the new divisor 725 and the new remainder 475, and apply the division lemma to get
725 = 475 x 1 + 250
We consider the new divisor 475 and the new remainder 250,and apply the division lemma to get
475 = 250 x 1 + 225
We consider the new divisor 250 and the new remainder 225,and apply the division lemma to get
250 = 225 x 1 + 25
We consider the new divisor 225 and the new remainder 25,and apply the division lemma to get
225 = 25 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 8425 and 1925 is 25
Notice that 25 = HCF(225,25) = HCF(250,225) = HCF(475,250) = HCF(725,475) = HCF(1925,725) = HCF(8425,1925) .
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Frequently Asked Questions on HCF of 8425, 1925 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 8425, 1925?
Answer: HCF of 8425, 1925 is 25 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8425, 1925 using Euclid's Algorithm?
Answer: For arbitrary numbers 8425, 1925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.