Highest Common Factor of 925, 3461, 8329 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, 3461, 8329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 925, 3461, 8329 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, 3461, 8329 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, 3461, 8329 is 1.

HCF(925, 3461, 8329) = 1

HCF of 925, 3461, 8329 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, 3461, 8329 is 1.

Highest Common Factor of 925,3461,8329 using Euclid's algorithm

Highest Common Factor of 925,3461,8329 is 1

Step 1: Since 3461 > 925, we apply the division lemma to 3461 and 925, to get

3461 = 925 x 3 + 686

Step 2: Since the reminder 925 ≠ 0, we apply division lemma to 686 and 925, to get

925 = 686 x 1 + 239

Step 3: We consider the new divisor 686 and the new remainder 239, and apply the division lemma to get

686 = 239 x 2 + 208

We consider the new divisor 239 and the new remainder 208,and apply the division lemma to get

239 = 208 x 1 + 31

We consider the new divisor 208 and the new remainder 31,and apply the division lemma to get

208 = 31 x 6 + 22

We consider the new divisor 31 and the new remainder 22,and apply the division lemma to get

31 = 22 x 1 + 9

We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get

22 = 9 x 2 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 3461 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(31,22) = HCF(208,31) = HCF(239,208) = HCF(686,239) = HCF(925,686) = HCF(3461,925) .

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

Step 1: Since 8329 > 1, we apply the division lemma to 8329 and 1, to get

8329 = 1 x 8329 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8329 is 1

Notice that 1 = HCF(8329,1) .

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Frequently Asked Questions on HCF of 925, 3461, 8329 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, 3461, 8329?

Answer: HCF of 925, 3461, 8329 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 925, 3461, 8329 using Euclid's Algorithm?

Answer: For arbitrary numbers 925, 3461, 8329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.