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 557/12, 421/313

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 557/12, 421/313 i.e 1/3756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 557/12, 421/313.

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 557/12,421/313?

Given fractions are 557/12,421/313

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 557/12,421/313, numerators are 557,421

Denominators are 12,313

The GCF of 557,421 is 1 .

LCM of 12,313 is 3756.

The greatest common factor of 557/12,421/313 = [GCF of 557,421]/[LCM of 12,313]= 1/3756

Therefore, the GCF of 557/12,421/313 is 1/3756.

Greatest Common Factor of 557,421

To find the highest common factor of 557,421, we have to find the factors of both numbers and list the highest common factor.

The factors of 557 are 1, 557

The factors of 421 are 1, 421

The HCF of 557,421 is 1.

Lets's calculate GCF of 557,421

Greatest Common Factor (GCF) of 557,421 By Common Division

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

Greatest Common Factor of 557,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,421 By Matching Biggest Common Factor Method

Now, list down the factors of 557

:

1,557

Now, list down the factors of 421

:

1,421

Greatest Common Factor

We found the factors 557,421 . The biggest common factor number is the GCF number.
So the greatest common factor 557,421 is 1.

Lets's calculate LCM of 12,313

Lowest Common Multiple of 12,313 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3756

Therefore, the GCF of Fractions 557/12,421/313 is 1/3756

Least Common Multiple of 12,313 with GCF Formula

Least Common Multiple of 12,313 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 12,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,313) = 1

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

GCF(12,313) x common factors =1 x 1 = 1

LCM(12,313) = ( 12 × 313 ) / 1

LCM(12,313) = 3756 / 1

LCM(12,313) = 3756


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 557/12, 421/313

1. What is the HCF of 557,421?

The HCF of 557,421 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 557/12, 421/313?

Answer: GCF of Numerators as per given numbers 557/12, 421/313 is

GCF of Numerators i.e. for 557,421 is 1

LCM of denominators i.e. for 12,313 is 3756.

Thus, GCF of Fractions is 1/3756.Finally, GCF of Fractions for 557/12, 421/313 is 1/3756.