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 878/181, 294/823

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 878/181, 294/823 i.e 2/148963 easily. The following is the detailed procedure to determine the greatest common factor of fractions 878/181, 294/823.

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 878/181,294/823?

Given fractions are 878/181,294/823

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 878/181,294/823, numerators are 878,294

Denominators are 181,823

The GCF of 878,294 is 2 .

LCM of 181,823 is 148963.

The greatest common factor of 878/181,294/823 = [GCF of 878,294]/[LCM of 181,823]= 2/148963

Therefore, the GCF of 878/181,294/823 is 2/148963.

Greatest Common Factor of 878,294

To find the highest common factor of 878,294, we have to find the factors of both numbers and list the highest common factor.

The factors of 878 are 1, 2, 439, 878

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

The HCF of 878,294 is 2.

Lets's calculate GCF of 878,294

Greatest Common Factor (GCF) of 878,294 By Common Division

2 878, 294
439, 147

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

Greatest Common Factor of 878,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,294 By Matching Biggest Common Factor Method

Now, list down the factors of 878

:

1,2,439,878

Now, list down the factors of 294

:

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

Greatest Common Factor

We found the factors 878,294 . The biggest common factor number is the GCF number.
So the greatest common factor 878,294 is 2.

Lets's calculate LCM of 181,823

Lowest Common Multiple of 181,823 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 148963

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/148963

Therefore, the GCF of Fractions 878/181,294/823 is 2/148963

Least Common Multiple of 181,823 with GCF Formula

Least Common Multiple of 181,823 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 181,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,823) = 1

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

GCF(181,823) x common factors =1 x 1 = 1

LCM(181,823) = ( 181 × 823 ) / 1

LCM(181,823) = 148963 / 1

LCM(181,823) = 148963


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 878/181, 294/823

1. What is the HCF of 878,294?

The HCF of 878,294 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 878/181, 294/823?

Answer: GCF of Numerators as per given numbers 878/181, 294/823 is

GCF of Numerators i.e. for 878,294 is 2

LCM of denominators i.e. for 181,823 is 148963.

Thus, GCF of Fractions is 2/148963.Finally, GCF of Fractions for 878/181, 294/823 is 2/148963.