Highest Common Factor of 725, 8989, 1877 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 725, 8989, 1877 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 725, 8989, 1877 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 725, 8989, 1877 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 725, 8989, 1877 is 1.

HCF(725, 8989, 1877) = 1

HCF of 725, 8989, 1877 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 725, 8989, 1877 is 1.

Highest Common Factor of 725,8989,1877 using Euclid's algorithm

Highest Common Factor of 725,8989,1877 is 1

Step 1: Since 8989 > 725, we apply the division lemma to 8989 and 725, to get

8989 = 725 x 12 + 289

Step 2: Since the reminder 725 ≠ 0, we apply division lemma to 289 and 725, to get

725 = 289 x 2 + 147

Step 3: We consider the new divisor 289 and the new remainder 147, and apply the division lemma to get

289 = 147 x 1 + 142

We consider the new divisor 147 and the new remainder 142,and apply the division lemma to get

147 = 142 x 1 + 5

We consider the new divisor 142 and the new remainder 5,and apply the division lemma to get

142 = 5 x 28 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 725 and 8989 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(142,5) = HCF(147,142) = HCF(289,147) = HCF(725,289) = HCF(8989,725) .

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

Step 1: Since 1877 > 1, we apply the division lemma to 1877 and 1, to get

1877 = 1 x 1877 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1877 is 1

Notice that 1 = HCF(1877,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 725, 8989, 1877 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 725, 8989, 1877?

Answer: HCF of 725, 8989, 1877 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 725, 8989, 1877 using Euclid's Algorithm?

Answer: For arbitrary numbers 725, 8989, 1877 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.