Greatest Common Factor of 360/97, 730/6988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 360/97, 730/6988

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 360/97,730/6988

Given fractions are 360/97,730/6988

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 360,730

Greatest Common Factor of Numerators i.e. GCF of 360,730 is 10 .

LCM of Denominators means LCM of 97,6988 as per the given fractions.

LCM of 97,6988 is 677836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 360,730

GCF of Fractions 360/97,730/6988 is 10/677836

2 360, 730
5 180, 365
36, 73

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 360,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,730 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 360,730 . The biggest common factor number is the GCF number.
So the greatest common factor 360,730 is 10.

Lets's calculate LCM of 97,6988

Given numbers has no common factors except 1. So, there LCM is their product i.e 677836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/677836

Therefore, the GCF of Fractions 360/97,730/6988 is 10/677836

Least Common Multiple of 97,6988 with GCF Formula

Least Common Multiple of 97,6988 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 97,6988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,6988) = 1

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

GCF(97,6988) x common factors =1 x 1 = 1

LCM(97,6988) = ( 97 × 6988 ) / 1

LCM(97,6988) = 677836 / 1

LCM(97,6988) = 677836


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 360/97, 730/6988

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 360/97, 730/6988?

Answer: GCF of Numerators as per given numbers 360/97, 730/6988 is

GCF of Numerators i.e. for 360,730 is 10

LCM of denominators i.e. for 97,6988 is 677836.

Thus, GCF of Fractions is 10/677836.Finally, GCF of Fractions for 360/97, 730/6988 is 10/677836.