Greatest Common Factor of 7154/830, 2480/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7154/830, 2480/437

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 7154/830,2480/437

Given fractions are 7154/830,2480/437

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 7154,2480

Greatest Common Factor of Numerators i.e. GCF of 7154,2480 is 2 .

LCM of Denominators means LCM of 830,437 as per the given fractions.

LCM of 830,437 is 362710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7154,2480

GCF of Fractions 7154/830,2480/437 is 2/362710

2 7154, 2480
3577, 1240

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

Greatest Common Factor of 7154,2480 By Matching Biggest Common Factor Method

Greatest Common Factor of 7154,2480 By Matching Biggest Common Factor Method

Factors of 7154

List of positive integer factors of 7154 that divides 7154 without a remainder.

1,2,7,14,49,73,98,146,511,1022,3577,7154

Factors of 2480

List of positive integer factors of 2480 that divides 2480 without a remainder.

1,2,4,5,8,10,16,20,31,40,62,80,124,155,248,310,496,620,1240,2480

Greatest Common Factor

We found the factors 7154,2480 . The biggest common factor number is the GCF number.
So the greatest common factor 7154,2480 is 2.

Lets's calculate LCM of 830,437

Given numbers has no common factors except 1. So, there LCM is their product i.e 362710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/362710

Therefore, the GCF of Fractions 7154/830,2480/437 is 2/362710

Least Common Multiple of 830,437 with GCF Formula

Least Common Multiple of 830,437 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 830,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,437) = 1

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

GCF(830,437) x common factors =1 x 1 = 1

LCM(830,437) = ( 830 × 437 ) / 1

LCM(830,437) = 362710 / 1

LCM(830,437) = 362710


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 7154/830, 2480/437

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 7154/830, 2480/437?

Answer: GCF of Numerators as per given numbers 7154/830, 2480/437 is

GCF of Numerators i.e. for 7154,2480 is 2

LCM of denominators i.e. for 830,437 is 362710.

Thus, GCF of Fractions is 2/362710.Finally, GCF of Fractions for 7154/830, 2480/437 is 2/362710.