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GCF of 3903/251, 2705/4411

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 3903/251, 2705/4411 i.e 1/1107161 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3903/251, 2705/4411.

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 3903/251,2705/4411?

Given fractions are 3903/251,2705/4411

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 3903/251,2705/4411, numerators are 3903,2705

Denominators are 251,4411

The GCF of 3903,2705 is 1 .

LCM of 251,4411 is 1107161.

The greatest common factor of 3903/251,2705/4411 = [GCF of 3903,2705]/[LCM of 251,4411]= 1/1107161

Therefore, the GCF of 3903/251,2705/4411 is 1/1107161.

Greatest Common Factor of 3903,2705

To find the highest common factor of 3903,2705, we have to find the factors of both numbers and list the highest common factor.

The factors of 3903 are 1, 3, 1301, 3903

The factors of 2705 are 1, 5, 541, 2705

The HCF of 3903,2705 is 1.

Lets's calculate GCF of 3903,2705

Greatest Common Factor (GCF) of 3903,2705 By Common Division

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

Greatest Common Factor of 3903,2705 By Matching Biggest Common Factor Method

Greatest Common Factor of 3903,2705 By Matching Biggest Common Factor Method

Now, list down the factors of 3903

:

1,3,1301,3903

Now, list down the factors of 2705

:

1,5,541,2705

Greatest Common Factor

We found the factors 3903,2705 . The biggest common factor number is the GCF number.
So the greatest common factor 3903,2705 is 1.

Lets's calculate LCM of 251,4411

Lowest Common Multiple of 251,4411 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1107161

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1107161

Therefore, the GCF of Fractions 3903/251,2705/4411 is 1/1107161

Least Common Multiple of 251,4411 with GCF Formula

Least Common Multiple of 251,4411 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 251,4411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,4411) = 1

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

GCF(251,4411) x common factors =1 x 1 = 1

LCM(251,4411) = ( 251 × 4411 ) / 1

LCM(251,4411) = 1107161 / 1

LCM(251,4411) = 1107161


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FAQs on GCF of Fractions of 3903/251, 2705/4411

1. What is the HCF of 3903,2705?

The HCF of 3903,2705 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 3903/251, 2705/4411?

Answer: GCF of Numerators as per given numbers 3903/251, 2705/4411 is

GCF of Numerators i.e. for 3903,2705 is 1

LCM of denominators i.e. for 251,4411 is 1107161.

Thus, GCF of Fractions is 1/1107161.Finally, GCF of Fractions for 3903/251, 2705/4411 is 1/1107161.