Greatest Common Factor of 351/49, 490/60, 552/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 351/49, 490/60, 552/209

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 351/49,490/60,552/209

Given fractions are 351/49,490/60,552/209

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 351,490,552

Greatest Common Factor of Numerators i.e. GCF of 351,490,552 is 1 .

LCM of Denominators means LCM of 49,60,209 as per the given fractions.

LCM of 49,60,209 is 614460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 351,490,552

GCF of Fractions 351/49,490/60,552/209 is 1/614460

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

Greatest Common Factor of 351,490,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,490,552 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 351,490,552 . The biggest common factor number is the GCF number.
So the greatest common factor 351,490,552 is 1.

Lets's calculate LCM of 49,60,209

Given numbers has no common factors except 1. So, there LCM is their product i.e 614460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/614460

Therefore, the GCF of Fractions 351/49,490/60,552/209 is 1/614460

Least Common Multiple of 49,60,209 with GCF Formula

Least Common Multiple of 49,60,209 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 49,60,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,60,209) = 1

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

GCF(49,60,209) x common factors =1 x 1 = 1

LCM(49,60,209) = ( 49 × 60 × 209 ) / 1

LCM(49,60,209) = 614460 / 1

LCM(49,60,209) = 614460


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 351/49, 490/60, 552/209

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 351/49, 490/60, 552/209?

Answer: GCF of Numerators as per given numbers 351/49, 490/60, 552/209 is

GCF of Numerators i.e. for 351,490,552 is 1

LCM of denominators i.e. for 49,60,209 is 614460.

Thus, GCF of Fractions is 1/614460.Finally, GCF of Fractions for 351/49, 490/60, 552/209 is 1/614460.