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 9725, 491 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9725, 491 is 1 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 9725, 491 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 9725, 491 is 1.
HCF(9725, 491) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9725, 491 is 1.
Step 1: Since 9725 > 491, we apply the division lemma to 9725 and 491, to get
9725 = 491 x 19 + 396
Step 2: Since the reminder 491 ≠ 0, we apply division lemma to 396 and 491, to get
491 = 396 x 1 + 95
Step 3: We consider the new divisor 396 and the new remainder 95, and apply the division lemma to get
396 = 95 x 4 + 16
We consider the new divisor 95 and the new remainder 16,and apply the division lemma to get
95 = 16 x 5 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9725 and 491 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(95,16) = HCF(396,95) = HCF(491,396) = HCF(9725,491) .
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 9725, 491?
Answer: HCF of 9725, 491 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9725, 491 using Euclid's Algorithm?
Answer: For arbitrary numbers 9725, 491 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.