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 502/687, 848/445

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 502/687, 848/445 i.e 2/305715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 502/687, 848/445.

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 502/687,848/445?

Given fractions are 502/687,848/445

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 502/687,848/445, numerators are 502,848

Denominators are 687,445

The GCF of 502,848 is 2 .

LCM of 687,445 is 305715.

The greatest common factor of 502/687,848/445 = [GCF of 502,848]/[LCM of 687,445]= 2/305715

Therefore, the GCF of 502/687,848/445 is 2/305715.

Greatest Common Factor of 502,848

To find the highest common factor of 502,848, we have to find the factors of both numbers and list the highest common factor.

The factors of 502 are 1, 2, 251, 502

The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

The HCF of 502,848 is 2.

Lets's calculate GCF of 502,848

Greatest Common Factor (GCF) of 502,848 By Common Division

2 502, 848
251, 424

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

Greatest Common Factor of 502,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,848 By Matching Biggest Common Factor Method

Now, list down the factors of 502

:

1,2,251,502

Now, list down the factors of 848

:

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 502,848 . The biggest common factor number is the GCF number.
So the greatest common factor 502,848 is 2.

Lets's calculate LCM of 687,445

Lowest Common Multiple of 687,445 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 305715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/305715

Therefore, the GCF of Fractions 502/687,848/445 is 2/305715

Least Common Multiple of 687,445 with GCF Formula

Least Common Multiple of 687,445 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 687,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,445) = 1

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

GCF(687,445) x common factors =1 x 1 = 1

LCM(687,445) = ( 687 × 445 ) / 1

LCM(687,445) = 305715 / 1

LCM(687,445) = 305715


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 502/687, 848/445

1. What is the HCF of 502,848?

The HCF of 502,848 is 2

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 502/687, 848/445?

Answer: GCF of Numerators as per given numbers 502/687, 848/445 is

GCF of Numerators i.e. for 502,848 is 2

LCM of denominators i.e. for 687,445 is 305715.

Thus, GCF of Fractions is 2/305715.Finally, GCF of Fractions for 502/687, 848/445 is 2/305715.