How to Find GCF of 5350/258, 1542/3565?

GCF of 5350/258, 1542/3565

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 5350/258, 1542/3565 i.e 2/919770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5350/258, 1542/3565.

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 5350/258,1542/3565?

Given fractions are 5350/258,1542/3565

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 5350/258,1542/3565, numerators are 5350,1542

Denominators are 258,3565

The GCF of 5350,1542 is 2 .

LCM of 258,3565 is 919770.

The greatest common factor of 5350/258,1542/3565 = [GCF of 5350,1542]/[LCM of 258,3565]= 2/919770

Therefore, the GCF of 5350/258,1542/3565 is 2/919770.

Greatest Common Factor of 5350,1542

To find the highest common factor of 5350,1542, we have to find the factors of both numbers and list the highest common factor.

The factors of 5350 are 1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675, 5350

The factors of 1542 are 1, 2, 3, 6, 257, 514, 771, 1542

The HCF of 5350,1542 is 2.

Lets's calculate GCF of 5350,1542

Greatest Common Factor (GCF) of 5350,1542 By Common Division

2	5350, 1542
	2675, 771

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5350,1542 By Matching Biggest Common Factor Method

Now, list down the factors of 5350

1,2,5,10,25,50,107,214,535,1070,2675,5350

Now, list down the factors of 1542

1,2,3,6,257,514,771,1542

Greatest Common Factor

We found the factors 5350,1542 . The biggest common factor number is the GCF number.
So the greatest common factor 5350,1542 is 2.

Lets's calculate LCM of 258,3565

Lowest Common Multiple of 258,3565 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 919770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/919770

Therefore, the GCF of Fractions 5350/258,1542/3565 is 2/919770

Least Common Multiple of 258,3565 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 258,3565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,3565) = 1

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

GCF(258,3565) x common factors =1 x 1 = 1

LCM(258,3565) = ( 258 × 3565 ) / 1

LCM(258,3565) = 919770 / 1

LCM(258,3565) = 919770

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FAQs on GCF of Fractions of 5350/258, 1542/3565

1. What is the HCF of 5350,1542?

The HCF of 5350,1542 is 2

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 5350/258, 1542/3565?

Answer: GCF of Numerators as per given numbers 5350/258, 1542/3565 is

GCF of Numerators i.e. for 5350,1542 is 2

LCM of denominators i.e. for 258,3565 is 919770.

Thus, GCF of Fractions is 2/919770.Finally, GCF of Fractions for 5350/258, 1542/3565 is 2/919770.