Highest Common Factor of 5887, 7519, 30497 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 5887, 7519, 30497 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5887, 7519, 30497 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 5887, 7519, 30497 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 5887, 7519, 30497 is 1.

HCF(5887, 7519, 30497) = 1

HCF of 5887, 7519, 30497 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 5887, 7519, 30497 is 1.

Highest Common Factor of 5887,7519,30497 using Euclid's algorithm

Highest Common Factor of 5887,7519,30497 is 1

Step 1: Since 7519 > 5887, we apply the division lemma to 7519 and 5887, to get

7519 = 5887 x 1 + 1632

Step 2: Since the reminder 5887 ≠ 0, we apply division lemma to 1632 and 5887, to get

5887 = 1632 x 3 + 991

Step 3: We consider the new divisor 1632 and the new remainder 991, and apply the division lemma to get

1632 = 991 x 1 + 641

We consider the new divisor 991 and the new remainder 641,and apply the division lemma to get

991 = 641 x 1 + 350

We consider the new divisor 641 and the new remainder 350,and apply the division lemma to get

641 = 350 x 1 + 291

We consider the new divisor 350 and the new remainder 291,and apply the division lemma to get

350 = 291 x 1 + 59

We consider the new divisor 291 and the new remainder 59,and apply the division lemma to get

291 = 59 x 4 + 55

We consider the new divisor 59 and the new remainder 55,and apply the division lemma to get

59 = 55 x 1 + 4

We consider the new divisor 55 and the new remainder 4,and apply the division lemma to get

55 = 4 x 13 + 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 5887 and 7519 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(55,4) = HCF(59,55) = HCF(291,59) = HCF(350,291) = HCF(641,350) = HCF(991,641) = HCF(1632,991) = HCF(5887,1632) = HCF(7519,5887) .

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

Step 1: Since 30497 > 1, we apply the division lemma to 30497 and 1, to get

30497 = 1 x 30497 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30497 is 1

Notice that 1 = HCF(30497,1) .

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Frequently Asked Questions on HCF of 5887, 7519, 30497 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 5887, 7519, 30497?

Answer: HCF of 5887, 7519, 30497 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5887, 7519, 30497 using Euclid's Algorithm?

Answer: For arbitrary numbers 5887, 7519, 30497 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.