Greatest Common Factor of 1102/997, 4978/7814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1102/997, 4978/7814

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 1102/997,4978/7814

Given fractions are 1102/997,4978/7814

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 1102,4978

Greatest Common Factor of Numerators i.e. GCF of 1102,4978 is 38 .

LCM of Denominators means LCM of 997,7814 as per the given fractions.

LCM of 997,7814 is 7790558 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1102,4978

GCF of Fractions 1102/997,4978/7814 is 38/7790558

2 1102, 4978
19 551, 2489
29, 131

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 1102,4978 By Matching Biggest Common Factor Method

Greatest Common Factor of 1102,4978 By Matching Biggest Common Factor Method

Factors of 1102

List of positive integer factors of 1102 that divides 1102 without a remainder.

1,2,19,29,38,58,551,1102

Factors of 4978

List of positive integer factors of 4978 that divides 4978 without a remainder.

1,2,19,38,131,262,2489,4978

Greatest Common Factor

We found the factors 1102,4978 . The biggest common factor number is the GCF number.
So the greatest common factor 1102,4978 is 38.

Lets's calculate LCM of 997,7814

Given numbers has no common factors except 1. So, there LCM is their product i.e 7790558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/7790558

Therefore, the GCF of Fractions 1102/997,4978/7814 is 38/7790558

Least Common Multiple of 997,7814 with GCF Formula

Least Common Multiple of 997,7814 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 997,7814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,7814) = 1

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

GCF(997,7814) x common factors =1 x 1 = 1

LCM(997,7814) = ( 997 × 7814 ) / 1

LCM(997,7814) = 7790558 / 1

LCM(997,7814) = 7790558


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 1102/997, 4978/7814

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 1102/997, 4978/7814?

Answer: GCF of Numerators as per given numbers 1102/997, 4978/7814 is

GCF of Numerators i.e. for 1102,4978 is 38

LCM of denominators i.e. for 997,7814 is 7790558.

Thus, GCF of Fractions is 38/7790558.Finally, GCF of Fractions for 1102/997, 4978/7814 is 38/7790558.