Greatest Common Factor of 5500/798, 5970/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5500/798, 5970/802

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 5500/798,5970/802

Given fractions are 5500/798,5970/802

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 5500,5970

Greatest Common Factor of Numerators i.e. GCF of 5500,5970 is 10 .

LCM of Denominators means LCM of 798,802 as per the given fractions.

LCM of 798,802 is 319998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5500,5970

GCF of Fractions 5500/798,5970/802 is 10/319998

2 5500, 5970
5 2750, 2985
550, 597

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 5500,5970 By Matching Biggest Common Factor Method

Greatest Common Factor of 5500,5970 By Matching Biggest Common Factor Method

Factors of 5500

List of positive integer factors of 5500 that divides 5500 without a remainder.

1,2,4,5,10,11,20,22,25,44,50,55,100,110,125,220,250,275,500,550,1100,1375,2750,5500

Factors of 5970

List of positive integer factors of 5970 that divides 5970 without a remainder.

1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970

Greatest Common Factor

We found the factors 5500,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 5500,5970 is 10.

Lets's calculate LCM of 798,802

2 798, 802
399, 401

∴ So the LCM of the given numbers is 2 x 399 x 401 = 319998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/319998

Therefore, the GCF of Fractions 5500/798,5970/802 is 10/319998

Least Common Multiple of 798,802 with GCF Formula

Least Common Multiple of 798,802 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 798,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,802) = 2

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

GCF(798,802) x common factors =2 x 1 = 2

LCM(798,802) = ( 798 × 802 ) / 2

LCM(798,802) = 639996 / 2

LCM(798,802) = 319998


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 5500/798, 5970/802

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 5500/798, 5970/802?

Answer: GCF of Numerators as per given numbers 5500/798, 5970/802 is

GCF of Numerators i.e. for 5500,5970 is 10

LCM of denominators i.e. for 798,802 is 319998.

Thus, GCF of Fractions is 10/319998.Finally, GCF of Fractions for 5500/798, 5970/802 is 10/319998.