Highest Common Factor of 7417, 4075, 56624 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 7417, 4075, 56624 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7417, 4075, 56624 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 7417, 4075, 56624 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 7417, 4075, 56624 is 1.

HCF(7417, 4075, 56624) = 1

HCF of 7417, 4075, 56624 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 7417, 4075, 56624 is 1.

Highest Common Factor of 7417,4075,56624 using Euclid's algorithm

Highest Common Factor of 7417,4075,56624 is 1

Step 1: Since 7417 > 4075, we apply the division lemma to 7417 and 4075, to get

7417 = 4075 x 1 + 3342

Step 2: Since the reminder 4075 ≠ 0, we apply division lemma to 3342 and 4075, to get

4075 = 3342 x 1 + 733

Step 3: We consider the new divisor 3342 and the new remainder 733, and apply the division lemma to get

3342 = 733 x 4 + 410

We consider the new divisor 733 and the new remainder 410,and apply the division lemma to get

733 = 410 x 1 + 323

We consider the new divisor 410 and the new remainder 323,and apply the division lemma to get

410 = 323 x 1 + 87

We consider the new divisor 323 and the new remainder 87,and apply the division lemma to get

323 = 87 x 3 + 62

We consider the new divisor 87 and the new remainder 62,and apply the division lemma to get

87 = 62 x 1 + 25

We consider the new divisor 62 and the new remainder 25,and apply the division lemma to get

62 = 25 x 2 + 12

We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get

25 = 12 x 2 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7417 and 4075 is 1

Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(62,25) = HCF(87,62) = HCF(323,87) = HCF(410,323) = HCF(733,410) = HCF(3342,733) = HCF(4075,3342) = HCF(7417,4075) .

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

Step 1: Since 56624 > 1, we apply the division lemma to 56624 and 1, to get

56624 = 1 x 56624 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56624 is 1

Notice that 1 = HCF(56624,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 7417, 4075, 56624 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 7417, 4075, 56624?

Answer: HCF of 7417, 4075, 56624 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7417, 4075, 56624 using Euclid's Algorithm?

Answer: For arbitrary numbers 7417, 4075, 56624 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.