Greatest Common Factor of 700/910, 6090/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 700/910, 6090/688

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 700/910,6090/688

Given fractions are 700/910,6090/688

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 700,6090

Greatest Common Factor of Numerators i.e. GCF of 700,6090 is 70 .

LCM of Denominators means LCM of 910,688 as per the given fractions.

LCM of 910,688 is 313040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 700,6090

GCF of Fractions 700/910,6090/688 is 70/313040

2 700, 6090
5 350, 3045
7 70, 609
10, 87

∴ So the GCF of the given numbers is 2 x 5 x 7 = 70

Greatest Common Factor of 700,6090 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,6090 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 6090

List of positive integer factors of 6090 that divides 6090 without a remainder.

1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090

Greatest Common Factor

We found the factors 700,6090 . The biggest common factor number is the GCF number.
So the greatest common factor 700,6090 is 70.

Lets's calculate LCM of 910,688

2 910, 688
455, 344

∴ So the LCM of the given numbers is 2 x 455 x 344 = 313040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/313040

Therefore, the GCF of Fractions 700/910,6090/688 is 70/313040

Least Common Multiple of 910,688 with GCF Formula

Least Common Multiple of 910,688 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 910,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,688) = 2

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

GCF(910,688) x common factors =2 x 1 = 2

LCM(910,688) = ( 910 × 688 ) / 2

LCM(910,688) = 626080 / 2

LCM(910,688) = 313040


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 700/910, 6090/688

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 700/910, 6090/688?

Answer: GCF of Numerators as per given numbers 700/910, 6090/688 is

GCF of Numerators i.e. for 700,6090 is 70

LCM of denominators i.e. for 910,688 is 313040.

Thus, GCF of Fractions is 70/313040.Finally, GCF of Fractions for 700/910, 6090/688 is 70/313040.