Greatest Common Factor of 745/49, 685/25, 509/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 745/49, 685/25, 509/132

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 745/49,685/25,509/132

Given fractions are 745/49,685/25,509/132

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 745,685,509

Greatest Common Factor of Numerators i.e. GCF of 745,685,509 is 1 .

LCM of Denominators means LCM of 49,25,132 as per the given fractions.

LCM of 49,25,132 is 161700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 745,685,509

GCF of Fractions 745/49,685/25,509/132 is 1/161700

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 745,685,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,685,509 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 745,685,509 . The biggest common factor number is the GCF number.
So the greatest common factor 745,685,509 is 1.

Lets's calculate LCM of 49,25,132

Given numbers has no common factors except 1. So, there LCM is their product i.e 161700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161700

Therefore, the GCF of Fractions 745/49,685/25,509/132 is 1/161700

Least Common Multiple of 49,25,132 with GCF Formula

Least Common Multiple of 49,25,132 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 49,25,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,25,132) = 1

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

GCF(49,25,132) x common factors =1 x 1 = 1

LCM(49,25,132) = ( 49 × 25 × 132 ) / 1

LCM(49,25,132) = 161700 / 1

LCM(49,25,132) = 161700


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 745/49, 685/25, 509/132

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 745/49, 685/25, 509/132?

Answer: GCF of Numerators as per given numbers 745/49, 685/25, 509/132 is

GCF of Numerators i.e. for 745,685,509 is 1

LCM of denominators i.e. for 49,25,132 is 161700.

Thus, GCF of Fractions is 1/161700.Finally, GCF of Fractions for 745/49, 685/25, 509/132 is 1/161700.