Greatest Common Factor of 69/364, 292/816, 640/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/364, 292/816, 640/688

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 69/364,292/816,640/688

Given fractions are 69/364,292/816,640/688

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 69,292,640

Greatest Common Factor of Numerators i.e. GCF of 69,292,640 is 1 .

LCM of Denominators means LCM of 364,816,688 as per the given fractions.

LCM of 364,816,688 is 3193008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,292,640

GCF of Fractions 69/364,292/816,640/688 is 1/3193008

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 69,292,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,292,640 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 69,292,640 . The biggest common factor number is the GCF number.
So the greatest common factor 69,292,640 is 1.

Lets's calculate LCM of 364,816,688

2 364, 816, 688
2 182, 408, 344
2 91, 204, 172
2 91, 102, 86
91, 51, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 91 x 51 x 43 = 3193008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3193008

Therefore, the GCF of Fractions 69/364,292/816,640/688 is 1/3193008

Least Common Multiple of 364,816,688 with GCF Formula

Least Common Multiple of 364,816,688 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 364,816,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,816,688) = 4

common factors(in case of two or more numbers have common factors) = 16

GCF(364,816,688) x common factors =4 x 16 = 64

LCM(364,816,688) = ( 364 × 816 × 688 ) / 64

LCM(364,816,688) = 204352512 / 64

LCM(364,816,688) = 3193008


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 69/364, 292/816, 640/688

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 69/364, 292/816, 640/688?

Answer: GCF of Numerators as per given numbers 69/364, 292/816, 640/688 is

GCF of Numerators i.e. for 69,292,640 is 1

LCM of denominators i.e. for 364,816,688 is 3193008.

Thus, GCF of Fractions is 1/3193008.Finally, GCF of Fractions for 69/364, 292/816, 640/688 is 1/3193008.