Greatest Common Factor of 398/46, 369/77, 123/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 398/46, 369/77, 123/688

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 398/46,369/77,123/688

Given fractions are 398/46,369/77,123/688

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 398,369,123

Greatest Common Factor of Numerators i.e. GCF of 398,369,123 is 1 .

LCM of Denominators means LCM of 46,77,688 as per the given fractions.

LCM of 46,77,688 is 1218448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 398,369,123

GCF of Fractions 398/46,369/77,123/688 is 1/1218448

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

Greatest Common Factor of 398,369,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,369,123 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 398,369,123 . The biggest common factor number is the GCF number.
So the greatest common factor 398,369,123 is 1.

Lets's calculate LCM of 46,77,688

2 46, 77, 688
23, 77, 344

∴ So the LCM of the given numbers is 2 x 23 x 77 x 344 = 1218448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1218448

Therefore, the GCF of Fractions 398/46,369/77,123/688 is 1/1218448

Least Common Multiple of 46,77,688 with GCF Formula

Least Common Multiple of 46,77,688 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 46,77,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,77,688) = 1

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

GCF(46,77,688) x common factors =1 x 2 = 2

LCM(46,77,688) = ( 46 × 77 × 688 ) / 2

LCM(46,77,688) = 2436896 / 2

LCM(46,77,688) = 1218448


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 398/46, 369/77, 123/688

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 398/46, 369/77, 123/688?

Answer: GCF of Numerators as per given numbers 398/46, 369/77, 123/688 is

GCF of Numerators i.e. for 398,369,123 is 1

LCM of denominators i.e. for 46,77,688 is 1218448.

Thus, GCF of Fractions is 1/1218448.Finally, GCF of Fractions for 398/46, 369/77, 123/688 is 1/1218448.