Greatest Common Factor of 708/64, 245/49, 142/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 708/64, 245/49, 142/214

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 708/64,245/49,142/214

Given fractions are 708/64,245/49,142/214

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 708,245,142

Greatest Common Factor of Numerators i.e. GCF of 708,245,142 is 1 .

LCM of Denominators means LCM of 64,49,214 as per the given fractions.

LCM of 64,49,214 is 335552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 708,245,142

GCF of Fractions 708/64,245/49,142/214 is 1/335552

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

Greatest Common Factor of 708,245,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,245,142 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 708,245,142 . The biggest common factor number is the GCF number.
So the greatest common factor 708,245,142 is 1.

Lets's calculate LCM of 64,49,214

2 64, 49, 214
32, 49, 107

∴ So the LCM of the given numbers is 2 x 32 x 49 x 107 = 335552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335552

Therefore, the GCF of Fractions 708/64,245/49,142/214 is 1/335552

Least Common Multiple of 64,49,214 with GCF Formula

Least Common Multiple of 64,49,214 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 64,49,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,49,214) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(64,49,214) x common factors =1 x 2 = 2

LCM(64,49,214) = ( 64 × 49 × 214 ) / 2

LCM(64,49,214) = 671104 / 2

LCM(64,49,214) = 335552


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 708/64, 245/49, 142/214

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 708/64, 245/49, 142/214?

Answer: GCF of Numerators as per given numbers 708/64, 245/49, 142/214 is

GCF of Numerators i.e. for 708,245,142 is 1

LCM of denominators i.e. for 64,49,214 is 335552.

Thus, GCF of Fractions is 1/335552.Finally, GCF of Fractions for 708/64, 245/49, 142/214 is 1/335552.