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GCF of 3931/256, 7433/430

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 3931/256, 7433/430 i.e 1/55040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3931/256, 7433/430.

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 3931/256,7433/430?

Given fractions are 3931/256,7433/430

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 3931/256,7433/430, numerators are 3931,7433

Denominators are 256,430

The GCF of 3931,7433 is 1 .

LCM of 256,430 is 55040.

The greatest common factor of 3931/256,7433/430 = [GCF of 3931,7433]/[LCM of 256,430]= 1/55040

Therefore, the GCF of 3931/256,7433/430 is 1/55040.

Greatest Common Factor of 3931,7433

To find the highest common factor of 3931,7433, we have to find the factors of both numbers and list the highest common factor.

The factors of 3931 are 1, 3931

The factors of 7433 are 1, 7433

The HCF of 3931,7433 is 1.

Lets's calculate GCF of 3931,7433

Greatest Common Factor (GCF) of 3931,7433 By Common Division

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

Greatest Common Factor of 3931,7433 By Matching Biggest Common Factor Method

Greatest Common Factor of 3931,7433 By Matching Biggest Common Factor Method

Now, list down the factors of 3931

:

1,3931

Now, list down the factors of 7433

:

1,7433

Greatest Common Factor

We found the factors 3931,7433 . The biggest common factor number is the GCF number.
So the greatest common factor 3931,7433 is 1.

Lets's calculate LCM of 256,430

Lowest Common Multiple of 256,430 using Common Division

2 256, 430
128, 215

∴ So the LCM of the given numbers is 2 x 128 x 215 = 55040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55040

Therefore, the GCF of Fractions 3931/256,7433/430 is 1/55040

Least Common Multiple of 256,430 with GCF Formula

Least Common Multiple of 256,430 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 256,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,430) = 2

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

GCF(256,430) x common factors =2 x 1 = 2

LCM(256,430) = ( 256 × 430 ) / 2

LCM(256,430) = 110080 / 2

LCM(256,430) = 55040


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FAQs on GCF of Fractions of 3931/256, 7433/430

1. What is the HCF of 3931,7433?

The HCF of 3931,7433 is 1

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 3931/256, 7433/430?

Answer: GCF of Numerators as per given numbers 3931/256, 7433/430 is

GCF of Numerators i.e. for 3931,7433 is 1

LCM of denominators i.e. for 256,430 is 55040.

Thus, GCF of Fractions is 1/55040.Finally, GCF of Fractions for 3931/256, 7433/430 is 1/55040.