GCF of 3190/916, 1274/7484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3190/916, 1274/7484 i.e 2/1713836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3190/916, 1274/7484.
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 3190/916,1274/7484?
Given fractions are 3190/916,1274/7484
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 3190/916,1274/7484, numerators are 3190,1274
Denominators are 916,7484
The GCF of 3190,1274 is 2 .
LCM of 916,7484 is 1713836.
The greatest common factor of 3190/916,1274/7484 = [GCF of 3190,1274]/[LCM of 916,7484]= 2/1713836
Therefore, the GCF of 3190/916,1274/7484 is 2/1713836.
To find the highest common factor of 3190,1274, we have to find the factors of both numbers and list the highest common factor.
The factors of 3190 are 1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 145, 290, 319, 638, 1595, 3190
The factors of 1274 are 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 637, 1274
The HCF of 3190,1274 is 2.
Lets's calculate GCF of 3190,1274
| 2 | 3190, 1274 |
| 1595, 637 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3190,1274 By Matching Biggest Common Factor Method
Now, list down the factors of 3190
:1,2,5,10,11,22,29,55,58,110,145,290,319,638,1595,3190
Now, list down the factors of 1274
:1,2,7,13,14,26,49,91,98,182,637,1274
Greatest Common Factor
We found the factors 3190,1274 . The biggest common factor number is the GCF number.
So the greatest common factor 3190,1274 is 2.
Lets's calculate LCM of 916,7484
| 2 | 916, 7484 |
| 2 | 458, 3742 |
| 229, 1871 |
∴ So the LCM of the given numbers is 2 x 2 x 229 x 1871 = 1713836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1713836
Therefore, the GCF of Fractions 3190/916,1274/7484 is 2/1713836
Least Common Multiple of 916,7484 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 916,7484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,7484) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(916,7484) x common factors =4 x 1 = 4
LCM(916,7484) = ( 916 × 7484 ) / 4
LCM(916,7484) = 6855344 / 4
LCM(916,7484) = 1713836
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FAQs on GCF of Fractions of 3190/916, 1274/7484
1. What is the HCF of 3190,1274?
The HCF of 3190,1274 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 3190/916, 1274/7484?
Answer: GCF of Numerators as per given numbers 3190/916, 1274/7484 is
GCF of Numerators i.e. for 3190,1274 is 2
LCM of denominators i.e. for 916,7484 is 1713836.
Thus, GCF of Fractions is 2/1713836.Finally, GCF of Fractions for 3190/916, 1274/7484 is 2/1713836.