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GCF of 542/25, 270/174

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 542/25, 270/174 i.e 2/4350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 542/25, 270/174.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 542/25,270/174?

Given fractions are 542/25,270/174

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 542/25,270/174, numerators are 542,270

Denominators are 25,174

The GCF of 542,270 is 2 .

LCM of 25,174 is 4350.

The greatest common factor of 542/25,270/174 = [GCF of 542,270]/[LCM of 25,174]= 2/4350

Therefore, the GCF of 542/25,270/174 is 2/4350.

Greatest Common Factor of 542,270

To find the highest common factor of 542,270, we have to find the factors of both numbers and list the highest common factor.

The factors of 542 are 1, 2, 271, 542

The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

The HCF of 542,270 is 2.

Lets's calculate GCF of 542,270

Greatest Common Factor (GCF) of 542,270 By Common Division

2 542, 270
271, 135

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

Greatest Common Factor of 542,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,270 By Matching Biggest Common Factor Method

Now, list down the factors of 542

:

1,2,271,542

Now, list down the factors of 270

:

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 542,270 . The biggest common factor number is the GCF number.
So the greatest common factor 542,270 is 2.

Lets's calculate LCM of 25,174

Lowest Common Multiple of 25,174 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4350

Therefore, the GCF of Fractions 542/25,270/174 is 2/4350

Least Common Multiple of 25,174 with GCF Formula

Least Common Multiple of 25,174 with GCF Formula

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

We need to calculate greatest common factor of 25,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,174) = 1

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

GCF(25,174) x common factors =1 x 1 = 1

LCM(25,174) = ( 25 × 174 ) / 1

LCM(25,174) = 4350 / 1

LCM(25,174) = 4350


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FAQs on GCF of Fractions of 542/25, 270/174

1. What is the HCF of 542,270?

The HCF of 542,270 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 542/25, 270/174?

Answer: GCF of Numerators as per given numbers 542/25, 270/174 is

GCF of Numerators i.e. for 542,270 is 2

LCM of denominators i.e. for 25,174 is 4350.

Thus, GCF of Fractions is 2/4350.Finally, GCF of Fractions for 542/25, 270/174 is 2/4350.