Greatest Common Factor of 248/76, 822/70, 223/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 248/76, 822/70, 223/385

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 248/76,822/70,223/385

Given fractions are 248/76,822/70,223/385

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 248,822,223

Greatest Common Factor of Numerators i.e. GCF of 248,822,223 is 1 .

LCM of Denominators means LCM of 76,70,385 as per the given fractions.

LCM of 76,70,385 is 29260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 248,822,223

GCF of Fractions 248/76,822/70,223/385 is 1/29260

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

Greatest Common Factor of 248,822,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,822,223 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors 248,822,223 . The biggest common factor number is the GCF number.
So the greatest common factor 248,822,223 is 1.

Lets's calculate LCM of 76,70,385

2 76, 70, 385
5 38, 35, 385
7 38, 7, 77
38, 1, 11

∴ So the LCM of the given numbers is 2 x 5 x 7 x 38 x 1 x 11 = 29260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29260

Therefore, the GCF of Fractions 248/76,822/70,223/385 is 1/29260

Least Common Multiple of 76,70,385 with GCF Formula

Least Common Multiple of 76,70,385 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 76,70,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,70,385) = 1

common factors(in case of two or more numbers have common factors) = 70

GCF(76,70,385) x common factors =1 x 70 = 70

LCM(76,70,385) = ( 76 × 70 × 385 ) / 70

LCM(76,70,385) = 2048200 / 70

LCM(76,70,385) = 29260


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 248/76, 822/70, 223/385

1. 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.

2. What is the GCF of Fractions for 248/76, 822/70, 223/385?

Answer: GCF of Numerators as per given numbers 248/76, 822/70, 223/385 is

GCF of Numerators i.e. for 248,822,223 is 1

LCM of denominators i.e. for 76,70,385 is 29260.

Thus, GCF of Fractions is 1/29260.Finally, GCF of Fractions for 248/76, 822/70, 223/385 is 1/29260.