Greatest Common Factor of 398/492, 548/188, 804/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 398/492, 548/188, 804/119

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 398/492,548/188,804/119

Given fractions are 398/492,548/188,804/119

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 398,548,804

Greatest Common Factor of Numerators i.e. GCF of 398,548,804 is 2 .

LCM of Denominators means LCM of 492,188,119 as per the given fractions.

LCM of 492,188,119 is 2751756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 398,548,804

GCF of Fractions 398/492,548/188,804/119 is 2/2751756

2 398, 548, 804
199, 274, 402

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

Greatest Common Factor of 398,548,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,548,804 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 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 398,548,804 . The biggest common factor number is the GCF number.
So the greatest common factor 398,548,804 is 2.

Lets's calculate LCM of 492,188,119

2 492, 188, 119
2 246, 94, 119
123, 47, 119

∴ So the LCM of the given numbers is 2 x 2 x 123 x 47 x 119 = 2751756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2751756

Therefore, the GCF of Fractions 398/492,548/188,804/119 is 2/2751756

Least Common Multiple of 492,188,119 with GCF Formula

Least Common Multiple of 492,188,119 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 492,188,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,188,119) = 1

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

GCF(492,188,119) x common factors =1 x 4 = 4

LCM(492,188,119) = ( 492 × 188 × 119 ) / 4

LCM(492,188,119) = 11007024 / 4

LCM(492,188,119) = 2751756


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 398/492, 548/188, 804/119

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 398/492, 548/188, 804/119?

Answer: GCF of Numerators as per given numbers 398/492, 548/188, 804/119 is

GCF of Numerators i.e. for 398,548,804 is 2

LCM of denominators i.e. for 492,188,119 is 2751756.

Thus, GCF of Fractions is 2/2751756.Finally, GCF of Fractions for 398/492, 548/188, 804/119 is 2/2751756.