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GCF of 2939/349, 2194/4880

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2939/349, 2194/4880 i.e 1/1703120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2939/349, 2194/4880.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2939/349,2194/4880?

Given fractions are 2939/349,2194/4880

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2939/349,2194/4880, numerators are 2939,2194

Denominators are 349,4880

The GCF of 2939,2194 is 1 .

LCM of 349,4880 is 1703120.

The greatest common factor of 2939/349,2194/4880 = [GCF of 2939,2194]/[LCM of 349,4880]= 1/1703120

Therefore, the GCF of 2939/349,2194/4880 is 1/1703120.

Greatest Common Factor of 2939,2194

To find the highest common factor of 2939,2194, we have to find the factors of both numbers and list the highest common factor.

The factors of 2939 are 1, 2939

The factors of 2194 are 1, 2, 1097, 2194

The HCF of 2939,2194 is 1.

Lets's calculate GCF of 2939,2194

Greatest Common Factor (GCF) of 2939,2194 By Common Division

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

Greatest Common Factor of 2939,2194 By Matching Biggest Common Factor Method

Greatest Common Factor of 2939,2194 By Matching Biggest Common Factor Method

Now, list down the factors of 2939

:

1,2939

Now, list down the factors of 2194

:

1,2,1097,2194

Greatest Common Factor

We found the factors 2939,2194 . The biggest common factor number is the GCF number.
So the greatest common factor 2939,2194 is 1.

Lets's calculate LCM of 349,4880

Lowest Common Multiple of 349,4880 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1703120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1703120

Therefore, the GCF of Fractions 2939/349,2194/4880 is 1/1703120

Least Common Multiple of 349,4880 with GCF Formula

Least Common Multiple of 349,4880 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 349,4880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,4880) = 1

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

GCF(349,4880) x common factors =1 x 1 = 1

LCM(349,4880) = ( 349 × 4880 ) / 1

LCM(349,4880) = 1703120 / 1

LCM(349,4880) = 1703120


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FAQs on GCF of Fractions of 2939/349, 2194/4880

1. What is the HCF of 2939,2194?

The HCF of 2939,2194 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 2939/349, 2194/4880?

Answer: GCF of Numerators as per given numbers 2939/349, 2194/4880 is

GCF of Numerators i.e. for 2939,2194 is 1

LCM of denominators i.e. for 349,4880 is 1703120.

Thus, GCF of Fractions is 1/1703120.Finally, GCF of Fractions for 2939/349, 2194/4880 is 1/1703120.