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GCF of 412/260, 232/249

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 412/260, 232/249 i.e 4/64740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 412/260, 232/249.

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 412/260,232/249?

Given fractions are 412/260,232/249

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 412/260,232/249, numerators are 412,232

Denominators are 260,249

The GCF of 412,232 is 4 .

LCM of 260,249 is 64740.

The greatest common factor of 412/260,232/249 = [GCF of 412,232]/[LCM of 260,249]= 4/64740

Therefore, the GCF of 412/260,232/249 is 4/64740.

Greatest Common Factor of 412,232

To find the highest common factor of 412,232, we have to find the factors of both numbers and list the highest common factor.

The factors of 412 are 1, 2, 4, 103, 206, 412

The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232

The HCF of 412,232 is 4.

Lets's calculate GCF of 412,232

Greatest Common Factor (GCF) of 412,232 By Common Division

2 412, 232
2 206, 116
103, 58

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 412,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,232 By Matching Biggest Common Factor Method

Now, list down the factors of 412

:

1,2,4,103,206,412

Now, list down the factors of 232

:

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 412,232 . The biggest common factor number is the GCF number.
So the greatest common factor 412,232 is 4.

Lets's calculate LCM of 260,249

Lowest Common Multiple of 260,249 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 64740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/64740

Therefore, the GCF of Fractions 412/260,232/249 is 4/64740

Least Common Multiple of 260,249 with GCF Formula

Least Common Multiple of 260,249 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 260,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,249) = 1

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

GCF(260,249) x common factors =1 x 1 = 1

LCM(260,249) = ( 260 × 249 ) / 1

LCM(260,249) = 64740 / 1

LCM(260,249) = 64740


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FAQs on GCF of Fractions of 412/260, 232/249

1. What is the HCF of 412,232?

The HCF of 412,232 is 4

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 412/260, 232/249?

Answer: GCF of Numerators as per given numbers 412/260, 232/249 is

GCF of Numerators i.e. for 412,232 is 4

LCM of denominators i.e. for 260,249 is 64740.

Thus, GCF of Fractions is 4/64740.Finally, GCF of Fractions for 412/260, 232/249 is 4/64740.