Greatest Common Factor of 748/99, 814/1112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 748/99, 814/1112

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 748/99,814/1112

Given fractions are 748/99,814/1112

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 748,814

Greatest Common Factor of Numerators i.e. GCF of 748,814 is 22 .

LCM of Denominators means LCM of 99,1112 as per the given fractions.

LCM of 99,1112 is 110088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 748,814

GCF of Fractions 748/99,814/1112 is 22/110088

2 748, 814
11 374, 407
34, 37

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 748,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,814 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 748,814 . The biggest common factor number is the GCF number.
So the greatest common factor 748,814 is 22.

Lets's calculate LCM of 99,1112

Given numbers has no common factors except 1. So, there LCM is their product i.e 110088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/110088

Therefore, the GCF of Fractions 748/99,814/1112 is 22/110088

Least Common Multiple of 99,1112 with GCF Formula

Least Common Multiple of 99,1112 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 99,1112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,1112) = 1

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

GCF(99,1112) x common factors =1 x 1 = 1

LCM(99,1112) = ( 99 × 1112 ) / 1

LCM(99,1112) = 110088 / 1

LCM(99,1112) = 110088


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 748/99, 814/1112

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 748/99, 814/1112?

Answer: GCF of Numerators as per given numbers 748/99, 814/1112 is

GCF of Numerators i.e. for 748,814 is 22

LCM of denominators i.e. for 99,1112 is 110088.

Thus, GCF of Fractions is 22/110088.Finally, GCF of Fractions for 748/99, 814/1112 is 22/110088.