Greatest Common Factor of 60/42, 98/47, 364/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/42, 98/47, 364/448

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 60/42,98/47,364/448

Given fractions are 60/42,98/47,364/448

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 60,98,364

Greatest Common Factor of Numerators i.e. GCF of 60,98,364 is 2 .

LCM of Denominators means LCM of 42,47,448 as per the given fractions.

LCM of 42,47,448 is 63168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,98,364

GCF of Fractions 60/42,98/47,364/448 is 2/63168

2 60, 98, 364
30, 49, 182

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

Greatest Common Factor of 60,98,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,98,364 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 60,98,364 . The biggest common factor number is the GCF number.
So the greatest common factor 60,98,364 is 2.

Lets's calculate LCM of 42,47,448

2 42, 47, 448
7 21, 47, 224
3, 47, 32

∴ So the LCM of the given numbers is 2 x 7 x 3 x 47 x 32 = 63168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63168

Therefore, the GCF of Fractions 60/42,98/47,364/448 is 2/63168

Least Common Multiple of 42,47,448 with GCF Formula

Least Common Multiple of 42,47,448 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 42,47,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,47,448) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(42,47,448) x common factors =1 x 14 = 14

LCM(42,47,448) = ( 42 × 47 × 448 ) / 14

LCM(42,47,448) = 884352 / 14

LCM(42,47,448) = 63168


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 60/42, 98/47, 364/448

1. 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.

2. What is the GCF of Fractions for 60/42, 98/47, 364/448?

Answer: GCF of Numerators as per given numbers 60/42, 98/47, 364/448 is

GCF of Numerators i.e. for 60,98,364 is 2

LCM of denominators i.e. for 42,47,448 is 63168.

Thus, GCF of Fractions is 2/63168.Finally, GCF of Fractions for 60/42, 98/47, 364/448 is 2/63168.