LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 146/13, 908/751

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 146/13, 908/751 i.e 2/9763 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/13, 908/751.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 146/13,908/751?

Given fractions are 146/13,908/751

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 146/13,908/751, numerators are 146,908

Denominators are 13,751

The GCF of 146,908 is 2 .

LCM of 13,751 is 9763.

The greatest common factor of 146/13,908/751 = [GCF of 146,908]/[LCM of 13,751]= 2/9763

Therefore, the GCF of 146/13,908/751 is 2/9763.

Greatest Common Factor of 146,908

To find the highest common factor of 146,908, we have to find the factors of both numbers and list the highest common factor.

The factors of 146 are 1, 2, 73, 146

The factors of 908 are 1, 2, 4, 227, 454, 908

The HCF of 146,908 is 2.

Lets's calculate GCF of 146,908

Greatest Common Factor (GCF) of 146,908 By Common Division

2 146, 908
73, 454

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

Greatest Common Factor of 146,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,908 By Matching Biggest Common Factor Method

Now, list down the factors of 146

:

1,2,73,146

Now, list down the factors of 908

:

1,2,4,227,454,908

Greatest Common Factor

We found the factors 146,908 . The biggest common factor number is the GCF number.
So the greatest common factor 146,908 is 2.

Lets's calculate LCM of 13,751

Lowest Common Multiple of 13,751 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9763

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9763

Therefore, the GCF of Fractions 146/13,908/751 is 2/9763

Least Common Multiple of 13,751 with GCF Formula

Least Common Multiple of 13,751 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 13,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,751) = 1

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

GCF(13,751) x common factors =1 x 1 = 1

LCM(13,751) = ( 13 × 751 ) / 1

LCM(13,751) = 9763 / 1

LCM(13,751) = 9763


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 146/13, 908/751

1. What is the HCF of 146,908?

The HCF of 146,908 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 146/13, 908/751?

Answer: GCF of Numerators as per given numbers 146/13, 908/751 is

GCF of Numerators i.e. for 146,908 is 2

LCM of denominators i.e. for 13,751 is 9763.

Thus, GCF of Fractions is 2/9763.Finally, GCF of Fractions for 146/13, 908/751 is 2/9763.