Highest Common Factor of 580, 7935, 7334 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 580, 7935, 7334 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 580, 7935, 7334 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 580, 7935, 7334 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 580, 7935, 7334 is 1.

HCF(580, 7935, 7334) = 1

HCF of 580, 7935, 7334 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 580, 7935, 7334 is 1.

Highest Common Factor of 580,7935,7334 using Euclid's algorithm

Highest Common Factor of 580,7935,7334 is 1

Step 1: Since 7935 > 580, we apply the division lemma to 7935 and 580, to get

7935 = 580 x 13 + 395

Step 2: Since the reminder 580 ≠ 0, we apply division lemma to 395 and 580, to get

580 = 395 x 1 + 185

Step 3: We consider the new divisor 395 and the new remainder 185, and apply the division lemma to get

395 = 185 x 2 + 25

We consider the new divisor 185 and the new remainder 25,and apply the division lemma to get

185 = 25 x 7 + 10

We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get

25 = 10 x 2 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 580 and 7935 is 5

Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(185,25) = HCF(395,185) = HCF(580,395) = HCF(7935,580) .

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

Step 1: Since 7334 > 5, we apply the division lemma to 7334 and 5, to get

7334 = 5 x 1466 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: 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 5 and 7334 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(7334,5) .

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Frequently Asked Questions on HCF of 580, 7935, 7334 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 580, 7935, 7334?

Answer: HCF of 580, 7935, 7334 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 580, 7935, 7334 using Euclid's Algorithm?

Answer: For arbitrary numbers 580, 7935, 7334 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.