Highest Common Factor of 5419, 7320 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 5419, 7320 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5419, 7320 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 5419, 7320 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 5419, 7320 is 1.

HCF(5419, 7320) = 1

HCF of 5419, 7320 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 5419, 7320 is 1.

Highest Common Factor of 5419,7320 using Euclid's algorithm

Highest Common Factor of 5419,7320 is 1

Step 1: Since 7320 > 5419, we apply the division lemma to 7320 and 5419, to get

7320 = 5419 x 1 + 1901

Step 2: Since the reminder 5419 ≠ 0, we apply division lemma to 1901 and 5419, to get

5419 = 1901 x 2 + 1617

Step 3: We consider the new divisor 1901 and the new remainder 1617, and apply the division lemma to get

1901 = 1617 x 1 + 284

We consider the new divisor 1617 and the new remainder 284,and apply the division lemma to get

1617 = 284 x 5 + 197

We consider the new divisor 284 and the new remainder 197,and apply the division lemma to get

284 = 197 x 1 + 87

We consider the new divisor 197 and the new remainder 87,and apply the division lemma to get

197 = 87 x 2 + 23

We consider the new divisor 87 and the new remainder 23,and apply the division lemma to get

87 = 23 x 3 + 18

We consider the new divisor 23 and the new remainder 18,and apply the division lemma to get

23 = 18 x 1 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 5419 and 7320 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(87,23) = HCF(197,87) = HCF(284,197) = HCF(1617,284) = HCF(1901,1617) = HCF(5419,1901) = HCF(7320,5419) .

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Frequently Asked Questions on HCF of 5419, 7320 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 5419, 7320?

Answer: HCF of 5419, 7320 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5419, 7320 using Euclid's Algorithm?

Answer: For arbitrary numbers 5419, 7320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.