Highest Common Factor of 7406, 5592, 71245 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 7406, 5592, 71245 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7406, 5592, 71245 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 7406, 5592, 71245 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 7406, 5592, 71245 is 1.

HCF(7406, 5592, 71245) = 1

HCF of 7406, 5592, 71245 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 7406, 5592, 71245 is 1.

Highest Common Factor of 7406,5592,71245 using Euclid's algorithm

Highest Common Factor of 7406,5592,71245 is 1

Step 1: Since 7406 > 5592, we apply the division lemma to 7406 and 5592, to get

7406 = 5592 x 1 + 1814

Step 2: Since the reminder 5592 ≠ 0, we apply division lemma to 1814 and 5592, to get

5592 = 1814 x 3 + 150

Step 3: We consider the new divisor 1814 and the new remainder 150, and apply the division lemma to get

1814 = 150 x 12 + 14

We consider the new divisor 150 and the new remainder 14,and apply the division lemma to get

150 = 14 x 10 + 10

We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get

14 = 10 x 1 + 4

We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get

10 = 4 x 2 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7406 and 5592 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(150,14) = HCF(1814,150) = HCF(5592,1814) = HCF(7406,5592) .

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

Step 1: Since 71245 > 2, we apply the division lemma to 71245 and 2, to get

71245 = 2 x 35622 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 71245 is 1

Notice that 1 = HCF(2,1) = HCF(71245,2) .

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Frequently Asked Questions on HCF of 7406, 5592, 71245 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 7406, 5592, 71245?

Answer: HCF of 7406, 5592, 71245 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7406, 5592, 71245 using Euclid's Algorithm?

Answer: For arbitrary numbers 7406, 5592, 71245 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.