Highest Common Factor of 613, 998, 325 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 613, 998, 325 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 613, 998, 325 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 613, 998, 325 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 613, 998, 325 is 1.

HCF(613, 998, 325) = 1

HCF of 613, 998, 325 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 613, 998, 325 is 1.

Highest Common Factor of 613,998,325 using Euclid's algorithm

Highest Common Factor of 613,998,325 is 1

Step 1: Since 998 > 613, we apply the division lemma to 998 and 613, to get

998 = 613 x 1 + 385

Step 2: Since the reminder 613 ≠ 0, we apply division lemma to 385 and 613, to get

613 = 385 x 1 + 228

Step 3: We consider the new divisor 385 and the new remainder 228, and apply the division lemma to get

385 = 228 x 1 + 157

We consider the new divisor 228 and the new remainder 157,and apply the division lemma to get

228 = 157 x 1 + 71

We consider the new divisor 157 and the new remainder 71,and apply the division lemma to get

157 = 71 x 2 + 15

We consider the new divisor 71 and the new remainder 15,and apply the division lemma to get

71 = 15 x 4 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 613 and 998 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(71,15) = HCF(157,71) = HCF(228,157) = HCF(385,228) = HCF(613,385) = HCF(998,613) .

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

Step 1: Since 325 > 1, we apply the division lemma to 325 and 1, to get

325 = 1 x 325 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 325 is 1

Notice that 1 = HCF(325,1) .

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Frequently Asked Questions on HCF of 613, 998, 325 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 613, 998, 325?

Answer: HCF of 613, 998, 325 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 613, 998, 325 using Euclid's Algorithm?

Answer: For arbitrary numbers 613, 998, 325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.