How to Find GCF of 2116/749, 4976/9269?

GCF of 2116/749, 4976/9269

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 2116/749, 4976/9269 i.e 4/6942481 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2116/749, 4976/9269.

Enter two or more fractions separated by "commas"

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

What is the GCF of 2116/749,4976/9269?

Given fractions are 2116/749,4976/9269

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 2116/749,4976/9269, numerators are 2116,4976

Denominators are 749,9269

The GCF of 2116,4976 is 4 .

LCM of 749,9269 is 6942481.

The greatest common factor of 2116/749,4976/9269 = [GCF of 2116,4976]/[LCM of 749,9269]= 4/6942481

Therefore, the GCF of 2116/749,4976/9269 is 4/6942481.

Greatest Common Factor of 2116,4976

To find the highest common factor of 2116,4976, we have to find the factors of both numbers and list the highest common factor.

The factors of 2116 are 1, 2, 4, 23, 46, 92, 529, 1058, 2116

The factors of 4976 are 1, 2, 4, 8, 16, 311, 622, 1244, 2488, 4976

The HCF of 2116,4976 is 4.

Lets's calculate GCF of 2116,4976

Greatest Common Factor (GCF) of 2116,4976 By Common Division

2	2116, 4976
2	1058, 2488
	529, 1244

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2116,4976 By Matching Biggest Common Factor Method

Now, list down the factors of 2116

1,2,4,23,46,92,529,1058,2116

Now, list down the factors of 4976

1,2,4,8,16,311,622,1244,2488,4976

Greatest Common Factor

We found the factors 2116,4976 . The biggest common factor number is the GCF number.
So the greatest common factor 2116,4976 is 4.

Lets's calculate LCM of 749,9269

Lowest Common Multiple of 749,9269 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6942481

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6942481

Therefore, the GCF of Fractions 2116/749,4976/9269 is 4/6942481

Least Common Multiple of 749,9269 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 749,9269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,9269) = 1

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

GCF(749,9269) x common factors =1 x 1 = 1

LCM(749,9269) = ( 749 × 9269 ) / 1

LCM(749,9269) = 6942481 / 1

LCM(749,9269) = 6942481

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2116/749, 4976/9269

1. What is the HCF of 2116,4976?

The HCF of 2116,4976 is 4

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 2116/749, 4976/9269?

Answer: GCF of Numerators as per given numbers 2116/749, 4976/9269 is

GCF of Numerators i.e. for 2116,4976 is 4

LCM of denominators i.e. for 749,9269 is 6942481.

Thus, GCF of Fractions is 4/6942481.Finally, GCF of Fractions for 2116/749, 4976/9269 is 4/6942481.