GCF of 1538/916, 5206/1594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1538/916, 5206/1594 i.e 2/730052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1538/916, 5206/1594.
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 1538/916,5206/1594?
Given fractions are 1538/916,5206/1594
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 1538/916,5206/1594, numerators are 1538,5206
Denominators are 916,1594
The GCF of 1538,5206 is 2 .
LCM of 916,1594 is 730052.
The greatest common factor of 1538/916,5206/1594 = [GCF of 1538,5206]/[LCM of 916,1594]= 2/730052
Therefore, the GCF of 1538/916,5206/1594 is 2/730052.
To find the highest common factor of 1538,5206, we have to find the factors of both numbers and list the highest common factor.
The factors of 1538 are 1, 2, 769, 1538
The factors of 5206 are 1, 2, 19, 38, 137, 274, 2603, 5206
The HCF of 1538,5206 is 2.
Lets's calculate GCF of 1538,5206
| 2 | 1538, 5206 |
| 769, 2603 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1538,5206 By Matching Biggest Common Factor Method
Now, list down the factors of 1538
:1,2,769,1538
Now, list down the factors of 5206
:1,2,19,38,137,274,2603,5206
Greatest Common Factor
We found the factors 1538,5206 . The biggest common factor number is the GCF number.
So the greatest common factor 1538,5206 is 2.
Lets's calculate LCM of 916,1594
| 2 | 916, 1594 |
| 458, 797 |
∴ So the LCM of the given numbers is 2 x 458 x 797 = 730052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/730052
Therefore, the GCF of Fractions 1538/916,5206/1594 is 2/730052
Least Common Multiple of 916,1594 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 916,1594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,1594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(916,1594) x common factors =2 x 1 = 2
LCM(916,1594) = ( 916 × 1594 ) / 2
LCM(916,1594) = 1460104 / 2
LCM(916,1594) = 730052
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FAQs on GCF of Fractions of 1538/916, 5206/1594
1. What is the HCF of 1538,5206?
The HCF of 1538,5206 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 1538/916, 5206/1594?
Answer: GCF of Numerators as per given numbers 1538/916, 5206/1594 is
GCF of Numerators i.e. for 1538,5206 is 2
LCM of denominators i.e. for 916,1594 is 730052.
Thus, GCF of Fractions is 2/730052.Finally, GCF of Fractions for 1538/916, 5206/1594 is 2/730052.