How to Find GCF of 2713/748, 5395/3530?

GCF of 2713/748, 5395/3530

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 2713/748, 5395/3530 i.e 1/1320220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2713/748, 5395/3530.

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 2713/748,5395/3530?

Given fractions are 2713/748,5395/3530

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 2713/748,5395/3530, numerators are 2713,5395

Denominators are 748,3530

The GCF of 2713,5395 is 1 .

LCM of 748,3530 is 1320220.

The greatest common factor of 2713/748,5395/3530 = [GCF of 2713,5395]/[LCM of 748,3530]= 1/1320220

Therefore, the GCF of 2713/748,5395/3530 is 1/1320220.

Greatest Common Factor of 2713,5395

To find the highest common factor of 2713,5395, we have to find the factors of both numbers and list the highest common factor.

The factors of 2713 are 1, 2713

The factors of 5395 are 1, 5, 13, 65, 83, 415, 1079, 5395

The HCF of 2713,5395 is 1.

Lets's calculate GCF of 2713,5395

Greatest Common Factor (GCF) of 2713,5395 By Common Division

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

Greatest Common Factor of 2713,5395 By Matching Biggest Common Factor Method

Now, list down the factors of 2713

1,2713

Now, list down the factors of 5395

1,5,13,65,83,415,1079,5395

Greatest Common Factor

We found the factors 2713,5395 . The biggest common factor number is the GCF number.
So the greatest common factor 2713,5395 is 1.

Lets's calculate LCM of 748,3530

Lowest Common Multiple of 748,3530 using Common Division

2	748, 3530
	374, 1765

∴ So the LCM of the given numbers is 2 x 374 x 1765 = 1320220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1320220

Therefore, the GCF of Fractions 2713/748,5395/3530 is 1/1320220

Least Common Multiple of 748,3530 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 748,3530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,3530) = 2

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

GCF(748,3530) x common factors =2 x 1 = 2

LCM(748,3530) = ( 748 × 3530 ) / 2

LCM(748,3530) = 2640440 / 2

LCM(748,3530) = 1320220

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2713/748, 5395/3530

1. What is the HCF of 2713,5395?

The HCF of 2713,5395 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 2713/748, 5395/3530?

Answer: GCF of Numerators as per given numbers 2713/748, 5395/3530 is

GCF of Numerators i.e. for 2713,5395 is 1

LCM of denominators i.e. for 748,3530 is 1320220.

Thus, GCF of Fractions is 1/1320220.Finally, GCF of Fractions for 2713/748, 5395/3530 is 1/1320220.