Greatest Common Factor of 125/10, 445/90, 348/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 125/10, 445/90, 348/610

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 125/10,445/90,348/610

Given fractions are 125/10,445/90,348/610

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 125,445,348

Greatest Common Factor of Numerators i.e. GCF of 125,445,348 is 1 .

LCM of Denominators means LCM of 10,90,610 as per the given fractions.

LCM of 10,90,610 is 5490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 125,445,348

GCF of Fractions 125/10,445/90,348/610 is 1/5490

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

Greatest Common Factor of 125,445,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,445,348 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 125,445,348 . The biggest common factor number is the GCF number.
So the greatest common factor 125,445,348 is 1.

Lets's calculate LCM of 10,90,610

2 10, 90, 610
5 5, 45, 305
1, 9, 61

∴ So the LCM of the given numbers is 2 x 5 x 1 x 9 x 61 = 5490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5490

Therefore, the GCF of Fractions 125/10,445/90,348/610 is 1/5490

Least Common Multiple of 10,90,610 with GCF Formula

Least Common Multiple of 10,90,610 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 10,90,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,90,610) = 10

common factors(in case of two or more numbers have common factors) = 10

GCF(10,90,610) x common factors =10 x 10 = 100

LCM(10,90,610) = ( 10 × 90 × 610 ) / 100

LCM(10,90,610) = 549000 / 100

LCM(10,90,610) = 5490


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 125/10, 445/90, 348/610

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 125/10, 445/90, 348/610?

Answer: GCF of Numerators as per given numbers 125/10, 445/90, 348/610 is

GCF of Numerators i.e. for 125,445,348 is 1

LCM of denominators i.e. for 10,90,610 is 5490.

Thus, GCF of Fractions is 1/5490.Finally, GCF of Fractions for 125/10, 445/90, 348/610 is 1/5490.