Greatest Common Factor of 950/52, 354/68, 998/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 950/52, 354/68, 998/416

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 950/52,354/68,998/416

Given fractions are 950/52,354/68,998/416

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 950,354,998

Greatest Common Factor of Numerators i.e. GCF of 950,354,998 is 2 .

LCM of Denominators means LCM of 52,68,416 as per the given fractions.

LCM of 52,68,416 is 7072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 950,354,998

GCF of Fractions 950/52,354/68,998/416 is 2/7072

2 950, 354, 998
475, 177, 499

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

Greatest Common Factor of 950,354,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,354,998 By Matching Biggest Common Factor Method

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 950,354,998 . The biggest common factor number is the GCF number.
So the greatest common factor 950,354,998 is 2.

Lets's calculate LCM of 52,68,416

2 52, 68, 416
2 26, 34, 208
13 13, 17, 104
1, 17, 8

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 17 x 8 = 7072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7072

Therefore, the GCF of Fractions 950/52,354/68,998/416 is 2/7072

Least Common Multiple of 52,68,416 with GCF Formula

Least Common Multiple of 52,68,416 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 52,68,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,68,416) = 4

common factors(in case of two or more numbers have common factors) = 52

GCF(52,68,416) x common factors =4 x 52 = 208

LCM(52,68,416) = ( 52 × 68 × 416 ) / 208

LCM(52,68,416) = 1470976 / 208

LCM(52,68,416) = 7072


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 950/52, 354/68, 998/416

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 950/52, 354/68, 998/416?

Answer: GCF of Numerators as per given numbers 950/52, 354/68, 998/416 is

GCF of Numerators i.e. for 950,354,998 is 2

LCM of denominators i.e. for 52,68,416 is 7072.

Thus, GCF of Fractions is 2/7072.Finally, GCF of Fractions for 950/52, 354/68, 998/416 is 2/7072.