Greatest Common Factor of 231/88, 262/3064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 231/88, 262/3064

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 231/88,262/3064

Given fractions are 231/88,262/3064

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 231,262

Greatest Common Factor of Numerators i.e. GCF of 231,262 is 1 .

LCM of Denominators means LCM of 88,3064 as per the given fractions.

LCM of 88,3064 is 33704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 231,262

GCF of Fractions 231/88,262/3064 is 1/33704

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

Greatest Common Factor of 231,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,262 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 231,262 . The biggest common factor number is the GCF number.
So the greatest common factor 231,262 is 1.

Lets's calculate LCM of 88,3064

2 88, 3064
2 44, 1532
2 22, 766
11, 383

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 383 = 33704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33704

Therefore, the GCF of Fractions 231/88,262/3064 is 1/33704

Least Common Multiple of 88,3064 with GCF Formula

Least Common Multiple of 88,3064 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 88,3064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,3064) = 8

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

GCF(88,3064) x common factors =8 x 1 = 8

LCM(88,3064) = ( 88 × 3064 ) / 8

LCM(88,3064) = 269632 / 8

LCM(88,3064) = 33704


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 231/88, 262/3064

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 231/88, 262/3064?

Answer: GCF of Numerators as per given numbers 231/88, 262/3064 is

GCF of Numerators i.e. for 231,262 is 1

LCM of denominators i.e. for 88,3064 is 33704.

Thus, GCF of Fractions is 1/33704.Finally, GCF of Fractions for 231/88, 262/3064 is 1/33704.