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 248/53, 923/229

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 248/53, 923/229 i.e 1/12137 easily. The following is the detailed procedure to determine the greatest common factor of fractions 248/53, 923/229.

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 248/53,923/229?

Given fractions are 248/53,923/229

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 248/53,923/229, numerators are 248,923

Denominators are 53,229

The GCF of 248,923 is 1 .

LCM of 53,229 is 12137.

The greatest common factor of 248/53,923/229 = [GCF of 248,923]/[LCM of 53,229]= 1/12137

Therefore, the GCF of 248/53,923/229 is 1/12137.

Greatest Common Factor of 248,923

To find the highest common factor of 248,923, we have to find the factors of both numbers and list the highest common factor.

The factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248

The factors of 923 are 1, 13, 71, 923

The HCF of 248,923 is 1.

Lets's calculate GCF of 248,923

Greatest Common Factor (GCF) of 248,923 By Common Division

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

Greatest Common Factor of 248,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,923 By Matching Biggest Common Factor Method

Now, list down the factors of 248

:

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

Now, list down the factors of 923

:

1,13,71,923

Greatest Common Factor

We found the factors 248,923 . The biggest common factor number is the GCF number.
So the greatest common factor 248,923 is 1.

Lets's calculate LCM of 53,229

Lowest Common Multiple of 53,229 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 12137

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12137

Therefore, the GCF of Fractions 248/53,923/229 is 1/12137

Least Common Multiple of 53,229 with GCF Formula

Least Common Multiple of 53,229 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 53,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,229) = 1

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

GCF(53,229) x common factors =1 x 1 = 1

LCM(53,229) = ( 53 × 229 ) / 1

LCM(53,229) = 12137 / 1

LCM(53,229) = 12137


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 248/53, 923/229

1. What is the HCF of 248,923?

The HCF of 248,923 is 1

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 248/53, 923/229?

Answer: GCF of Numerators as per given numbers 248/53, 923/229 is

GCF of Numerators i.e. for 248,923 is 1

LCM of denominators i.e. for 53,229 is 12137.

Thus, GCF of Fractions is 1/12137.Finally, GCF of Fractions for 248/53, 923/229 is 1/12137.