Greatest Common Factor of 3493/49, 9025/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3493/49, 9025/248

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 3493/49,9025/248

Given fractions are 3493/49,9025/248

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 3493,9025

Greatest Common Factor of Numerators i.e. GCF of 3493,9025 is 1 .

LCM of Denominators means LCM of 49,248 as per the given fractions.

LCM of 49,248 is 12152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3493,9025

GCF of Fractions 3493/49,9025/248 is 1/12152

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

Greatest Common Factor of 3493,9025 By Matching Biggest Common Factor Method

Greatest Common Factor of 3493,9025 By Matching Biggest Common Factor Method

Factors of 3493

List of positive integer factors of 3493 that divides 3493 without a remainder.

1,7,499,3493

Factors of 9025

List of positive integer factors of 9025 that divides 9025 without a remainder.

1,5,19,25,95,361,475,1805,9025

Greatest Common Factor

We found the factors 3493,9025 . The biggest common factor number is the GCF number.
So the greatest common factor 3493,9025 is 1.

Lets's calculate LCM of 49,248

Given numbers has no common factors except 1. So, there LCM is their product i.e 12152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12152

Therefore, the GCF of Fractions 3493/49,9025/248 is 1/12152

Least Common Multiple of 49,248 with GCF Formula

Least Common Multiple of 49,248 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 49,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,248) = 1

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

GCF(49,248) x common factors =1 x 1 = 1

LCM(49,248) = ( 49 × 248 ) / 1

LCM(49,248) = 12152 / 1

LCM(49,248) = 12152


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 3493/49, 9025/248

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 3493/49, 9025/248?

Answer: GCF of Numerators as per given numbers 3493/49, 9025/248 is

GCF of Numerators i.e. for 3493,9025 is 1

LCM of denominators i.e. for 49,248 is 12152.

Thus, GCF of Fractions is 1/12152.Finally, GCF of Fractions for 3493/49, 9025/248 is 1/12152.