Greatest Common Factor of 68/12, 48/95, 708/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/12, 48/95, 708/457

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 68/12,48/95,708/457

Given fractions are 68/12,48/95,708/457

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 68,48,708

Greatest Common Factor of Numerators i.e. GCF of 68,48,708 is 4 .

LCM of Denominators means LCM of 12,95,457 as per the given fractions.

LCM of 12,95,457 is 520980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,48,708

GCF of Fractions 68/12,48/95,708/457 is 4/520980

2 68, 48, 708
2 34, 24, 354
17, 12, 177

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 68,48,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,48,708 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

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

Greatest Common Factor

We found the factors 68,48,708 . The biggest common factor number is the GCF number.
So the greatest common factor 68,48,708 is 4.

Lets's calculate LCM of 12,95,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 520980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/520980

Therefore, the GCF of Fractions 68/12,48/95,708/457 is 4/520980

Least Common Multiple of 12,95,457 with GCF Formula

Least Common Multiple of 12,95,457 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 12,95,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,95,457) = 1

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

GCF(12,95,457) x common factors =1 x 1 = 1

LCM(12,95,457) = ( 12 × 95 × 457 ) / 1

LCM(12,95,457) = 520980 / 1

LCM(12,95,457) = 520980


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 68/12, 48/95, 708/457

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 68/12, 48/95, 708/457?

Answer: GCF of Numerators as per given numbers 68/12, 48/95, 708/457 is

GCF of Numerators i.e. for 68,48,708 is 4

LCM of denominators i.e. for 12,95,457 is 520980.

Thus, GCF of Fractions is 4/520980.Finally, GCF of Fractions for 68/12, 48/95, 708/457 is 4/520980.