How to Find GCF of 2702/978, 2542/3739?

GCF of 2702/978, 2542/3739

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 2702/978, 2542/3739 i.e 2/3656742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2702/978, 2542/3739.

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 2702/978,2542/3739?

Given fractions are 2702/978,2542/3739

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 2702/978,2542/3739, numerators are 2702,2542

Denominators are 978,3739

The GCF of 2702,2542 is 2 .

LCM of 978,3739 is 3656742.

The greatest common factor of 2702/978,2542/3739 = [GCF of 2702,2542]/[LCM of 978,3739]= 2/3656742

Therefore, the GCF of 2702/978,2542/3739 is 2/3656742.

Greatest Common Factor of 2702,2542

To find the highest common factor of 2702,2542, we have to find the factors of both numbers and list the highest common factor.

The factors of 2702 are 1, 2, 7, 14, 193, 386, 1351, 2702

The factors of 2542 are 1, 2, 31, 41, 62, 82, 1271, 2542

The HCF of 2702,2542 is 2.

Lets's calculate GCF of 2702,2542

Greatest Common Factor (GCF) of 2702,2542 By Common Division

2	2702, 2542
	1351, 1271

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

Greatest Common Factor of 2702,2542 By Matching Biggest Common Factor Method

Now, list down the factors of 2702

1,2,7,14,193,386,1351,2702

Now, list down the factors of 2542

1,2,31,41,62,82,1271,2542

Greatest Common Factor

We found the factors 2702,2542 . The biggest common factor number is the GCF number.
So the greatest common factor 2702,2542 is 2.

Lets's calculate LCM of 978,3739

Lowest Common Multiple of 978,3739 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3656742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3656742

Therefore, the GCF of Fractions 2702/978,2542/3739 is 2/3656742

Least Common Multiple of 978,3739 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 978,3739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,3739) = 1

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

GCF(978,3739) x common factors =1 x 1 = 1

LCM(978,3739) = ( 978 × 3739 ) / 1

LCM(978,3739) = 3656742 / 1

LCM(978,3739) = 3656742

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2702/978, 2542/3739

1. What is the HCF of 2702,2542?

The HCF of 2702,2542 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 2702/978, 2542/3739?

Answer: GCF of Numerators as per given numbers 2702/978, 2542/3739 is

GCF of Numerators i.e. for 2702,2542 is 2

LCM of denominators i.e. for 978,3739 is 3656742.

Thus, GCF of Fractions is 2/3656742.Finally, GCF of Fractions for 2702/978, 2542/3739 is 2/3656742.