GCF of 2739/875, 3507/8760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2739/875, 3507/8760 i.e 3/1533000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2739/875, 3507/8760.
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 2739/875,3507/8760?
Given fractions are 2739/875,3507/8760
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 2739/875,3507/8760, numerators are 2739,3507
Denominators are 875,8760
The GCF of 2739,3507 is 3 .
LCM of 875,8760 is 1533000.
The greatest common factor of 2739/875,3507/8760 = [GCF of 2739,3507]/[LCM of 875,8760]= 3/1533000
Therefore, the GCF of 2739/875,3507/8760 is 3/1533000.
To find the highest common factor of 2739,3507, we have to find the factors of both numbers and list the highest common factor.
The factors of 2739 are 1, 3, 11, 33, 83, 249, 913, 2739
The factors of 3507 are 1, 3, 7, 21, 167, 501, 1169, 3507
The HCF of 2739,3507 is 3.
Lets's calculate GCF of 2739,3507
| 3 | 2739, 3507 |
| 913, 1169 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2739,3507 By Matching Biggest Common Factor Method
Now, list down the factors of 2739
:1,3,11,33,83,249,913,2739
Now, list down the factors of 3507
:1,3,7,21,167,501,1169,3507
Greatest Common Factor
We found the factors 2739,3507 . The biggest common factor number is the GCF number.
So the greatest common factor 2739,3507 is 3.
Lets's calculate LCM of 875,8760
| 5 | 875, 8760 |
| 175, 1752 |
∴ So the LCM of the given numbers is 5 x 175 x 1752 = 1533000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1533000
Therefore, the GCF of Fractions 2739/875,3507/8760 is 3/1533000
Least Common Multiple of 875,8760 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 875,8760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,8760) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(875,8760) x common factors =5 x 1 = 5
LCM(875,8760) = ( 875 × 8760 ) / 5
LCM(875,8760) = 7665000 / 5
LCM(875,8760) = 1533000
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2739/875, 3507/8760
1. What is the HCF of 2739,3507?
The HCF of 2739,3507 is 3
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 2739/875, 3507/8760?
Answer: GCF of Numerators as per given numbers 2739/875, 3507/8760 is
GCF of Numerators i.e. for 2739,3507 is 3
LCM of denominators i.e. for 875,8760 is 1533000.
Thus, GCF of Fractions is 3/1533000.Finally, GCF of Fractions for 2739/875, 3507/8760 is 3/1533000.