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 294/43, 502/566

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 294/43, 502/566 i.e 2/24338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/43, 502/566.

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 294/43,502/566?

Given fractions are 294/43,502/566

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 294/43,502/566, numerators are 294,502

Denominators are 43,566

The GCF of 294,502 is 2 .

LCM of 43,566 is 24338.

The greatest common factor of 294/43,502/566 = [GCF of 294,502]/[LCM of 43,566]= 2/24338

Therefore, the GCF of 294/43,502/566 is 2/24338.

Greatest Common Factor of 294,502

To find the highest common factor of 294,502, we have to find the factors of both numbers and list the highest common factor.

The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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

The HCF of 294,502 is 2.

Lets's calculate GCF of 294,502

Greatest Common Factor (GCF) of 294,502 By Common Division

2 294, 502
147, 251

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

Greatest Common Factor of 294,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,502 By Matching Biggest Common Factor Method

Now, list down the factors of 294

:

1,2,3,6,7,14,21,42,49,98,147,294

Now, list down the factors of 502

:

1,2,251,502

Greatest Common Factor

We found the factors 294,502 . The biggest common factor number is the GCF number.
So the greatest common factor 294,502 is 2.

Lets's calculate LCM of 43,566

Lowest Common Multiple of 43,566 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 24338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24338

Therefore, the GCF of Fractions 294/43,502/566 is 2/24338

Least Common Multiple of 43,566 with GCF Formula

Least Common Multiple of 43,566 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 43,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,566) = 1

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

GCF(43,566) x common factors =1 x 1 = 1

LCM(43,566) = ( 43 × 566 ) / 1

LCM(43,566) = 24338 / 1

LCM(43,566) = 24338


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 294/43, 502/566

1. What is the HCF of 294,502?

The HCF of 294,502 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 294/43, 502/566?

Answer: GCF of Numerators as per given numbers 294/43, 502/566 is

GCF of Numerators i.e. for 294,502 is 2

LCM of denominators i.e. for 43,566 is 24338.

Thus, GCF of Fractions is 2/24338.Finally, GCF of Fractions for 294/43, 502/566 is 2/24338.