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GCF of 254/48, 202/768

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 254/48, 202/768 i.e 2/768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 254/48, 202/768.

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 254/48,202/768?

Given fractions are 254/48,202/768

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 254/48,202/768, numerators are 254,202

Denominators are 48,768

The GCF of 254,202 is 2 .

LCM of 48,768 is 768.

The greatest common factor of 254/48,202/768 = [GCF of 254,202]/[LCM of 48,768]= 2/768

Therefore, the GCF of 254/48,202/768 is 2/768.

Greatest Common Factor of 254,202

To find the highest common factor of 254,202, we have to find the factors of both numbers and list the highest common factor.

The factors of 254 are 1, 2, 127, 254

The factors of 202 are 1, 2, 101, 202

The HCF of 254,202 is 2.

Lets's calculate GCF of 254,202

Greatest Common Factor (GCF) of 254,202 By Common Division

2 254, 202
127, 101

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

Greatest Common Factor of 254,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,202 By Matching Biggest Common Factor Method

Now, list down the factors of 254

:

1,2,127,254

Now, list down the factors of 202

:

1,2,101,202

Greatest Common Factor

We found the factors 254,202 . The biggest common factor number is the GCF number.
So the greatest common factor 254,202 is 2.

Lets's calculate LCM of 48,768

Lowest Common Multiple of 48,768 using Common Division

2 48, 768
2 24, 384
2 12, 192
2 6, 96
3 3, 48
1, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 16 = 768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/768

Therefore, the GCF of Fractions 254/48,202/768 is 2/768

Least Common Multiple of 48,768 with GCF Formula

Least Common Multiple of 48,768 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 48,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,768) = 48

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

GCF(48,768) x common factors =48 x 1 = 48

LCM(48,768) = ( 48 × 768 ) / 48

LCM(48,768) = 36864 / 48

LCM(48,768) = 768


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FAQs on GCF of Fractions of 254/48, 202/768

1. What is the HCF of 254,202?

The HCF of 254,202 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 254/48, 202/768?

Answer: GCF of Numerators as per given numbers 254/48, 202/768 is

GCF of Numerators i.e. for 254,202 is 2

LCM of denominators i.e. for 48,768 is 768.

Thus, GCF of Fractions is 2/768.Finally, GCF of Fractions for 254/48, 202/768 is 2/768.