Greatest Common Factor of 430/714, 7280/4007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 430/714, 7280/4007

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 430/714,7280/4007

Given fractions are 430/714,7280/4007

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 430,7280

Greatest Common Factor of Numerators i.e. GCF of 430,7280 is 10 .

LCM of Denominators means LCM of 714,4007 as per the given fractions.

LCM of 714,4007 is 2860998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 430,7280

GCF of Fractions 430/714,7280/4007 is 10/2860998

2 430, 7280
5 215, 3640
43, 728

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

Greatest Common Factor of 430,7280 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,7280 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 7280

List of positive integer factors of 7280 that divides 7280 without a remainder.

1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280

Greatest Common Factor

We found the factors 430,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 430,7280 is 10.

Lets's calculate LCM of 714,4007

Given numbers has no common factors except 1. So, there LCM is their product i.e 2860998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2860998

Therefore, the GCF of Fractions 430/714,7280/4007 is 10/2860998

Least Common Multiple of 714,4007 with GCF Formula

Least Common Multiple of 714,4007 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 714,4007 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,4007) = 1

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

GCF(714,4007) x common factors =1 x 1 = 1

LCM(714,4007) = ( 714 × 4007 ) / 1

LCM(714,4007) = 2860998 / 1

LCM(714,4007) = 2860998


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 430/714, 7280/4007

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 430/714, 7280/4007?

Answer: GCF of Numerators as per given numbers 430/714, 7280/4007 is

GCF of Numerators i.e. for 430,7280 is 10

LCM of denominators i.e. for 714,4007 is 2860998.

Thus, GCF of Fractions is 10/2860998.Finally, GCF of Fractions for 430/714, 7280/4007 is 10/2860998.