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 415/48, 941/5648

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 415/48, 941/5648 i.e 1/16944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 415/48, 941/5648.

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 415/48,941/5648?

Given fractions are 415/48,941/5648

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 415/48,941/5648, numerators are 415,941

Denominators are 48,5648

The GCF of 415,941 is 1 .

LCM of 48,5648 is 16944.

The greatest common factor of 415/48,941/5648 = [GCF of 415,941]/[LCM of 48,5648]= 1/16944

Therefore, the GCF of 415/48,941/5648 is 1/16944.

Greatest Common Factor of 415,941

To find the highest common factor of 415,941, we have to find the factors of both numbers and list the highest common factor.

The factors of 415 are 1, 5, 83, 415

The factors of 941 are 1, 941

The HCF of 415,941 is 1.

Lets's calculate GCF of 415,941

Greatest Common Factor (GCF) of 415,941 By Common Division

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

Greatest Common Factor of 415,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,941 By Matching Biggest Common Factor Method

Now, list down the factors of 415

:

1,5,83,415

Now, list down the factors of 941

:

1,941

Greatest Common Factor

We found the factors 415,941 . The biggest common factor number is the GCF number.
So the greatest common factor 415,941 is 1.

Lets's calculate LCM of 48,5648

Lowest Common Multiple of 48,5648 using Common Division

2 48, 5648
2 24, 2824
2 12, 1412
2 6, 706
3, 353

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 353 = 16944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16944

Therefore, the GCF of Fractions 415/48,941/5648 is 1/16944

Least Common Multiple of 48,5648 with GCF Formula

Least Common Multiple of 48,5648 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 48,5648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,5648) = 16

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

GCF(48,5648) x common factors =16 x 1 = 16

LCM(48,5648) = ( 48 × 5648 ) / 16

LCM(48,5648) = 271104 / 16

LCM(48,5648) = 16944


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 415/48, 941/5648

1. What is the HCF of 415,941?

The HCF of 415,941 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 415/48, 941/5648?

Answer: GCF of Numerators as per given numbers 415/48, 941/5648 is

GCF of Numerators i.e. for 415,941 is 1

LCM of denominators i.e. for 48,5648 is 16944.

Thus, GCF of Fractions is 1/16944.Finally, GCF of Fractions for 415/48, 941/5648 is 1/16944.