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, 4575 i.e. 25 the largest integer that leaves a remainder zero for all numbers.
HCF of 8425, 4575 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, 4575 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, 4575 is 25.
HCF(8425, 4575) = 25
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8425, 4575 is 25.
Step 1: Since 8425 > 4575, we apply the division lemma to 8425 and 4575, to get
8425 = 4575 x 1 + 3850
Step 2: Since the reminder 4575 ≠ 0, we apply division lemma to 3850 and 4575, to get
4575 = 3850 x 1 + 725
Step 3: We consider the new divisor 3850 and the new remainder 725, and apply the division lemma to get
3850 = 725 x 5 + 225
We consider the new divisor 725 and the new remainder 225,and apply the division lemma to get
725 = 225 x 3 + 50
We consider the new divisor 225 and the new remainder 50,and apply the division lemma to get
225 = 50 x 4 + 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 8425 and 4575 is 25
Notice that 25 = HCF(50,25) = HCF(225,50) = HCF(725,225) = HCF(3850,725) = HCF(4575,3850) = HCF(8425,4575) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 4575?
Answer: HCF of 8425, 4575 is 25 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8425, 4575 using Euclid's Algorithm?
Answer: For arbitrary numbers 8425, 4575 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.