Greatest Common Factor of 313/44, 419/68, 688/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 313/44, 419/68, 688/358

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 313/44,419/68,688/358

Given fractions are 313/44,419/68,688/358

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 313,419,688

Greatest Common Factor of Numerators i.e. GCF of 313,419,688 is 1 .

LCM of Denominators means LCM of 44,68,358 as per the given fractions.

LCM of 44,68,358 is 133892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 313,419,688

GCF of Fractions 313/44,419/68,688/358 is 1/133892

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

Greatest Common Factor of 313,419,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,419,688 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 313,419,688 . The biggest common factor number is the GCF number.
So the greatest common factor 313,419,688 is 1.

Lets's calculate LCM of 44,68,358

2 44, 68, 358
2 22, 34, 179
11, 17, 179

∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 179 = 133892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133892

Therefore, the GCF of Fractions 313/44,419/68,688/358 is 1/133892

Least Common Multiple of 44,68,358 with GCF Formula

Least Common Multiple of 44,68,358 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 44,68,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,68,358) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(44,68,358) x common factors =2 x 4 = 8

LCM(44,68,358) = ( 44 × 68 × 358 ) / 8

LCM(44,68,358) = 1071136 / 8

LCM(44,68,358) = 133892


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 313/44, 419/68, 688/358

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 313/44, 419/68, 688/358?

Answer: GCF of Numerators as per given numbers 313/44, 419/68, 688/358 is

GCF of Numerators i.e. for 313,419,688 is 1

LCM of denominators i.e. for 44,68,358 is 133892.

Thus, GCF of Fractions is 1/133892.Finally, GCF of Fractions for 313/44, 419/68, 688/358 is 1/133892.