Greatest Common Factor of 1220/798, 8904/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1220/798, 8904/448

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 1220/798,8904/448

Given fractions are 1220/798,8904/448

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 1220,8904

Greatest Common Factor of Numerators i.e. GCF of 1220,8904 is 4 .

LCM of Denominators means LCM of 798,448 as per the given fractions.

LCM of 798,448 is 25536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1220,8904

GCF of Fractions 1220/798,8904/448 is 4/25536

2 1220, 8904
2 610, 4452
305, 2226

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1220,8904 By Matching Biggest Common Factor Method

Greatest Common Factor of 1220,8904 By Matching Biggest Common Factor Method

Factors of 1220

List of positive integer factors of 1220 that divides 1220 without a remainder.

1,2,4,5,10,20,61,122,244,305,610,1220

Factors of 8904

List of positive integer factors of 8904 that divides 8904 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,53,56,84,106,159,168,212,318,371,424,636,742,1113,1272,1484,2226,2968,4452,8904

Greatest Common Factor

We found the factors 1220,8904 . The biggest common factor number is the GCF number.
So the greatest common factor 1220,8904 is 4.

Lets's calculate LCM of 798,448

2 798, 448
7 399, 224
57, 32

∴ So the LCM of the given numbers is 2 x 7 x 57 x 32 = 25536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/25536

Therefore, the GCF of Fractions 1220/798,8904/448 is 4/25536

Least Common Multiple of 798,448 with GCF Formula

Least Common Multiple of 798,448 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 798,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,448) = 14

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

GCF(798,448) x common factors =14 x 1 = 14

LCM(798,448) = ( 798 × 448 ) / 14

LCM(798,448) = 357504 / 14

LCM(798,448) = 25536


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 1220/798, 8904/448

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 1220/798, 8904/448?

Answer: GCF of Numerators as per given numbers 1220/798, 8904/448 is

GCF of Numerators i.e. for 1220,8904 is 4

LCM of denominators i.e. for 798,448 is 25536.

Thus, GCF of Fractions is 4/25536.Finally, GCF of Fractions for 1220/798, 8904/448 is 4/25536.