Greatest Common Factor of 448/97, 4720/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 448/97, 4720/638

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 448/97,4720/638

Given fractions are 448/97,4720/638

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 448,4720

Greatest Common Factor of Numerators i.e. GCF of 448,4720 is 16 .

LCM of Denominators means LCM of 97,638 as per the given fractions.

LCM of 97,638 is 61886 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 448,4720

GCF of Fractions 448/97,4720/638 is 16/61886

2 448, 4720
2 224, 2360
2 112, 1180
2 56, 590
28, 295

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 448,4720 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,4720 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 4720

List of positive integer factors of 4720 that divides 4720 without a remainder.

1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720

Greatest Common Factor

We found the factors 448,4720 . The biggest common factor number is the GCF number.
So the greatest common factor 448,4720 is 16.


Lets's calculate LCM of 97,638

Given numbers has no common factors except 1. So, there LCM is their product i.e 61886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/61886

Therefore, the GCF of Fractions 448/97,4720/638 is 16/61886

Least Common Multiple of 97,638 with GCF Formula

Least Common Multiple of 97,638 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 97,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,638) = 1

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

GCF(97,638) x common factors =1 x 1 = 1

LCM(97,638) = ( 97 × 638 ) / 1

LCM(97,638) = 61886 / 1

LCM(97,638) = 61886


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 448/97, 4720/638

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 448/97, 4720/638?

Answer: GCF of Numerators as per given numbers 448/97, 4720/638 is

GCF of Numerators i.e. for 448,4720 is 16

LCM of denominators i.e. for 97,638 is 61886.

Thus, GCF of Fractions is 16/61886.Finally, GCF of Fractions for 448/97, 4720/638 is 16/61886.