Greatest Common Factor of 348/119, 8449/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 348/119, 8449/402

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 348/119,8449/402

Given fractions are 348/119,8449/402

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 348,8449

Greatest Common Factor of Numerators i.e. GCF of 348,8449 is 1 .

LCM of Denominators means LCM of 119,402 as per the given fractions.

LCM of 119,402 is 47838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 348,8449

GCF of Fractions 348/119,8449/402 is 1/47838

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

Greatest Common Factor of 348,8449 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,8449 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 8449

List of positive integer factors of 8449 that divides 8449 without a remainder.

1,7,17,71,119,497,1207,8449

Greatest Common Factor

We found the factors 348,8449 . The biggest common factor number is the GCF number.
So the greatest common factor 348,8449 is 1.

Lets's calculate LCM of 119,402

Given numbers has no common factors except 1. So, there LCM is their product i.e 47838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47838

Therefore, the GCF of Fractions 348/119,8449/402 is 1/47838

Least Common Multiple of 119,402 with GCF Formula

Least Common Multiple of 119,402 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 119,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,402) = 1

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

GCF(119,402) x common factors =1 x 1 = 1

LCM(119,402) = ( 119 × 402 ) / 1

LCM(119,402) = 47838 / 1

LCM(119,402) = 47838


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 348/119, 8449/402

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 348/119, 8449/402?

Answer: GCF of Numerators as per given numbers 348/119, 8449/402 is

GCF of Numerators i.e. for 348,8449 is 1

LCM of denominators i.e. for 119,402 is 47838.

Thus, GCF of Fractions is 1/47838.Finally, GCF of Fractions for 348/119, 8449/402 is 1/47838.