Greatest Common Factor of 248/59, 122/38, 303/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 248/59, 122/38, 303/855

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 248/59,122/38,303/855

Given fractions are 248/59,122/38,303/855

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 248,122,303

Greatest Common Factor of Numerators i.e. GCF of 248,122,303 is 1 .

LCM of Denominators means LCM of 59,38,855 as per the given fractions.

LCM of 59,38,855 is 100890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 248,122,303

GCF of Fractions 248/59,122/38,303/855 is 1/100890

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

Greatest Common Factor of 248,122,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,122,303 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 248,122,303 . The biggest common factor number is the GCF number.
So the greatest common factor 248,122,303 is 1.

Lets's calculate LCM of 59,38,855

19 59, 38, 855
59, 2, 45

∴ So the LCM of the given numbers is 19 x 59 x 2 x 45 = 100890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100890

Therefore, the GCF of Fractions 248/59,122/38,303/855 is 1/100890

Least Common Multiple of 59,38,855 with GCF Formula

Least Common Multiple of 59,38,855 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 59,38,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,38,855) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(59,38,855) x common factors =1 x 19 = 19

LCM(59,38,855) = ( 59 × 38 × 855 ) / 19

LCM(59,38,855) = 1916910 / 19

LCM(59,38,855) = 100890


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 248/59, 122/38, 303/855

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 248/59, 122/38, 303/855?

Answer: GCF of Numerators as per given numbers 248/59, 122/38, 303/855 is

GCF of Numerators i.e. for 248,122,303 is 1

LCM of denominators i.e. for 59,38,855 is 100890.

Thus, GCF of Fractions is 1/100890.Finally, GCF of Fractions for 248/59, 122/38, 303/855 is 1/100890.