Highest Common Factor of 925, 8004, 9554 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 925, 8004, 9554 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 925, 8004, 9554 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 925, 8004, 9554 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 925, 8004, 9554 is 1.

HCF(925, 8004, 9554) = 1

HCF of 925, 8004, 9554 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 925, 8004, 9554 is 1.

Highest Common Factor of 925,8004,9554 using Euclid's algorithm

Highest Common Factor of 925,8004,9554 is 1

Step 1: Since 8004 > 925, we apply the division lemma to 8004 and 925, to get

8004 = 925 x 8 + 604

Step 2: Since the reminder 925 ≠ 0, we apply division lemma to 604 and 925, to get

925 = 604 x 1 + 321

Step 3: We consider the new divisor 604 and the new remainder 321, and apply the division lemma to get

604 = 321 x 1 + 283

We consider the new divisor 321 and the new remainder 283,and apply the division lemma to get

321 = 283 x 1 + 38

We consider the new divisor 283 and the new remainder 38,and apply the division lemma to get

283 = 38 x 7 + 17

We consider the new divisor 38 and the new remainder 17,and apply the division lemma to get

38 = 17 x 2 + 4

We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get

17 = 4 x 4 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 925 and 8004 is 1

Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(38,17) = HCF(283,38) = HCF(321,283) = HCF(604,321) = HCF(925,604) = HCF(8004,925) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 9554 > 1, we apply the division lemma to 9554 and 1, to get

9554 = 1 x 9554 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9554 is 1

Notice that 1 = HCF(9554,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 925, 8004, 9554 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 925, 8004, 9554?

Answer: HCF of 925, 8004, 9554 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 925, 8004, 9554 using Euclid's Algorithm?

Answer: For arbitrary numbers 925, 8004, 9554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.