GCF of 1502/835, 1990/2735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1502/835, 1990/2735 i.e 2/456745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1502/835, 1990/2735.
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 1502/835,1990/2735?
Given fractions are 1502/835,1990/2735
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 1502/835,1990/2735, numerators are 1502,1990
Denominators are 835,2735
The GCF of 1502,1990 is 2 .
LCM of 835,2735 is 456745.
The greatest common factor of 1502/835,1990/2735 = [GCF of 1502,1990]/[LCM of 835,2735]= 2/456745
Therefore, the GCF of 1502/835,1990/2735 is 2/456745.
To find the highest common factor of 1502,1990, we have to find the factors of both numbers and list the highest common factor.
The factors of 1502 are 1, 2, 751, 1502
The factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990
The HCF of 1502,1990 is 2.
Lets's calculate GCF of 1502,1990
| 2 | 1502, 1990 |
| 751, 995 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1502,1990 By Matching Biggest Common Factor Method
Now, list down the factors of 1502
:1,2,751,1502
Now, list down the factors of 1990
:1,2,5,10,199,398,995,1990
Greatest Common Factor
We found the factors 1502,1990 . The biggest common factor number is the GCF number.
So the greatest common factor 1502,1990 is 2.
Lets's calculate LCM of 835,2735
| 5 | 835, 2735 |
| 167, 547 |
∴ So the LCM of the given numbers is 5 x 167 x 547 = 456745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/456745
Therefore, the GCF of Fractions 1502/835,1990/2735 is 2/456745
Least Common Multiple of 835,2735 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 835,2735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,2735) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(835,2735) x common factors =5 x 1 = 5
LCM(835,2735) = ( 835 × 2735 ) / 5
LCM(835,2735) = 2283725 / 5
LCM(835,2735) = 456745
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FAQs on GCF of Fractions of 1502/835, 1990/2735
1. What is the HCF of 1502,1990?
The HCF of 1502,1990 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 1502/835, 1990/2735?
Answer: GCF of Numerators as per given numbers 1502/835, 1990/2735 is
GCF of Numerators i.e. for 1502,1990 is 2
LCM of denominators i.e. for 835,2735 is 456745.
Thus, GCF of Fractions is 2/456745.Finally, GCF of Fractions for 1502/835, 1990/2735 is 2/456745.