Greatest Common Factor of 814/711, 4808/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 814/711, 4808/632

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 814/711,4808/632

Given fractions are 814/711,4808/632

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 814,4808

Greatest Common Factor of Numerators i.e. GCF of 814,4808 is 2 .

LCM of Denominators means LCM of 711,632 as per the given fractions.

LCM of 711,632 is 5688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 814,4808

GCF of Fractions 814/711,4808/632 is 2/5688

2 814, 4808
407, 2404

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

Greatest Common Factor of 814,4808 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,4808 By Matching Biggest Common Factor Method

Factors of 814

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

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

Factors of 4808

List of positive integer factors of 4808 that divides 4808 without a remainder.

1,2,4,8,601,1202,2404,4808

Greatest Common Factor

We found the factors 814,4808 . The biggest common factor number is the GCF number.
So the greatest common factor 814,4808 is 2.

Lets's calculate LCM of 711,632

79 711, 632
9, 8

∴ So the LCM of the given numbers is 79 x 9 x 8 = 5688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5688

Therefore, the GCF of Fractions 814/711,4808/632 is 2/5688

Least Common Multiple of 711,632 with GCF Formula

Least Common Multiple of 711,632 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 711,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,632) = 79

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

GCF(711,632) x common factors =79 x 1 = 79

LCM(711,632) = ( 711 × 632 ) / 79

LCM(711,632) = 449352 / 79

LCM(711,632) = 5688


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 814/711, 4808/632

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 814/711, 4808/632?

Answer: GCF of Numerators as per given numbers 814/711, 4808/632 is

GCF of Numerators i.e. for 814,4808 is 2

LCM of denominators i.e. for 711,632 is 5688.

Thus, GCF of Fractions is 2/5688.Finally, GCF of Fractions for 814/711, 4808/632 is 2/5688.