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 975, 925 i.e. 25 the largest integer that leaves a remainder zero for all numbers.
HCF of 975, 925 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 975, 925 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 975, 925 is 25.
HCF(975, 925) = 25
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 975, 925 is 25.
Step 1: Since 975 > 925, we apply the division lemma to 975 and 925, to get
975 = 925 x 1 + 50
Step 2: Since the reminder 925 ≠ 0, we apply division lemma to 50 and 925, to get
925 = 50 x 18 + 25
Step 3: 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 975 and 925 is 25
Notice that 25 = HCF(50,25) = HCF(925,50) = HCF(975,925) .
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 975, 925?
Answer: HCF of 975, 925 is 25 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 975, 925 using Euclid's Algorithm?
Answer: For arbitrary numbers 975, 925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.