How to Find GCF of 5581/914, 6017/5430?

GCF of 5581/914, 6017/5430

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5581/914, 6017/5430 i.e 1/2481510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5581/914, 6017/5430.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5581/914,6017/5430?

Given fractions are 5581/914,6017/5430

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5581/914,6017/5430, numerators are 5581,6017

Denominators are 914,5430

The GCF of 5581,6017 is 1 .

LCM of 914,5430 is 2481510.

The greatest common factor of 5581/914,6017/5430 = [GCF of 5581,6017]/[LCM of 914,5430]= 1/2481510

Therefore, the GCF of 5581/914,6017/5430 is 1/2481510.

Greatest Common Factor of 5581,6017

To find the highest common factor of 5581,6017, we have to find the factors of both numbers and list the highest common factor.

The factors of 5581 are 1, 5581

The factors of 6017 are 1, 11, 547, 6017

The HCF of 5581,6017 is 1.

Lets's calculate GCF of 5581,6017

Greatest Common Factor (GCF) of 5581,6017 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5581,6017 By Matching Biggest Common Factor Method

Now, list down the factors of 5581

1,5581

Now, list down the factors of 6017

1,11,547,6017

Greatest Common Factor

We found the factors 5581,6017 . The biggest common factor number is the GCF number.
So the greatest common factor 5581,6017 is 1.

Lets's calculate LCM of 914,5430

Lowest Common Multiple of 914,5430 using Common Division

2	914, 5430
	457, 2715

∴ So the LCM of the given numbers is 2 x 457 x 2715 = 2481510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2481510

Therefore, the GCF of Fractions 5581/914,6017/5430 is 1/2481510

Least Common Multiple of 914,5430 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 914,5430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,5430) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(914,5430) x common factors =2 x 1 = 2

LCM(914,5430) = ( 914 × 5430 ) / 2

LCM(914,5430) = 4963020 / 2

LCM(914,5430) = 2481510

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FAQs on GCF of Fractions of 5581/914, 6017/5430

1. What is the HCF of 5581,6017?

The HCF of 5581,6017 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 5581/914, 6017/5430?

Answer: GCF of Numerators as per given numbers 5581/914, 6017/5430 is

GCF of Numerators i.e. for 5581,6017 is 1

LCM of denominators i.e. for 914,5430 is 2481510.

Thus, GCF of Fractions is 1/2481510.Finally, GCF of Fractions for 5581/914, 6017/5430 is 1/2481510.