Greatest Common Factor of 45/13, 70/34, 985/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/13, 70/34, 985/548

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 45/13,70/34,985/548

Given fractions are 45/13,70/34,985/548

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 45,70,985

Greatest Common Factor of Numerators i.e. GCF of 45,70,985 is 5 .

LCM of Denominators means LCM of 13,34,548 as per the given fractions.

LCM of 13,34,548 is 121108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,70,985

GCF of Fractions 45/13,70/34,985/548 is 5/121108

5 45, 70, 985
9, 14, 197

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 45,70,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,70,985 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 45,70,985 . The biggest common factor number is the GCF number.
So the greatest common factor 45,70,985 is 5.

Lets's calculate LCM of 13,34,548

2 13, 34, 548
13, 17, 274

∴ So the LCM of the given numbers is 2 x 13 x 17 x 274 = 121108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/121108

Therefore, the GCF of Fractions 45/13,70/34,985/548 is 5/121108

Least Common Multiple of 13,34,548 with GCF Formula

Least Common Multiple of 13,34,548 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 13,34,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,34,548) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(13,34,548) x common factors =1 x 2 = 2

LCM(13,34,548) = ( 13 × 34 × 548 ) / 2

LCM(13,34,548) = 242216 / 2

LCM(13,34,548) = 121108


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 45/13, 70/34, 985/548

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 45/13, 70/34, 985/548?

Answer: GCF of Numerators as per given numbers 45/13, 70/34, 985/548 is

GCF of Numerators i.e. for 45,70,985 is 5

LCM of denominators i.e. for 13,34,548 is 121108.

Thus, GCF of Fractions is 5/121108.Finally, GCF of Fractions for 45/13, 70/34, 985/548 is 5/121108.