Greatest Common Factor of 790/196, 688/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 790/196, 688/469

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 790/196,688/469

Given fractions are 790/196,688/469

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 790,688

Greatest Common Factor of Numerators i.e. GCF of 790,688 is 2 .

LCM of Denominators means LCM of 196,469 as per the given fractions.

LCM of 196,469 is 13132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 790,688

GCF of Fractions 790/196,688/469 is 2/13132

2 790, 688
395, 344

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

Greatest Common Factor of 790,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,688 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 790,688 . The biggest common factor number is the GCF number.
So the greatest common factor 790,688 is 2.

Lets's calculate LCM of 196,469

7 196, 469
28, 67

∴ So the LCM of the given numbers is 7 x 28 x 67 = 13132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13132

Therefore, the GCF of Fractions 790/196,688/469 is 2/13132

Least Common Multiple of 196,469 with GCF Formula

Least Common Multiple of 196,469 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 196,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,469) = 7

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

GCF(196,469) x common factors =7 x 1 = 7

LCM(196,469) = ( 196 × 469 ) / 7

LCM(196,469) = 91924 / 7

LCM(196,469) = 13132


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 790/196, 688/469

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 790/196, 688/469?

Answer: GCF of Numerators as per given numbers 790/196, 688/469 is

GCF of Numerators i.e. for 790,688 is 2

LCM of denominators i.e. for 196,469 is 13132.

Thus, GCF of Fractions is 2/13132.Finally, GCF of Fractions for 790/196, 688/469 is 2/13132.