GCF of 7190/138, 2930/3802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7190/138, 2930/3802 i.e 10/262338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7190/138, 2930/3802.
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 7190/138,2930/3802?
Given fractions are 7190/138,2930/3802
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 7190/138,2930/3802, numerators are 7190,2930
Denominators are 138,3802
The GCF of 7190,2930 is 10 .
LCM of 138,3802 is 262338.
The greatest common factor of 7190/138,2930/3802 = [GCF of 7190,2930]/[LCM of 138,3802]= 10/262338
Therefore, the GCF of 7190/138,2930/3802 is 10/262338.
To find the highest common factor of 7190,2930, we have to find the factors of both numbers and list the highest common factor.
The factors of 7190 are 1, 2, 5, 10, 719, 1438, 3595, 7190
The factors of 2930 are 1, 2, 5, 10, 293, 586, 1465, 2930
The HCF of 7190,2930 is 10.
Lets's calculate GCF of 7190,2930
| 2 | 7190, 2930 |
| 5 | 3595, 1465 |
| 719, 293 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7190,2930 By Matching Biggest Common Factor Method
Now, list down the factors of 7190
:1,2,5,10,719,1438,3595,7190
Now, list down the factors of 2930
:1,2,5,10,293,586,1465,2930
Greatest Common Factor
We found the factors 7190,2930 . The biggest common factor number is the GCF number.
So the greatest common factor 7190,2930 is 10.
Lets's calculate LCM of 138,3802
| 2 | 138, 3802 |
| 69, 1901 |
∴ So the LCM of the given numbers is 2 x 69 x 1901 = 262338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/262338
Therefore, the GCF of Fractions 7190/138,2930/3802 is 10/262338
Least Common Multiple of 138,3802 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 138,3802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,3802) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,3802) x common factors =2 x 1 = 2
LCM(138,3802) = ( 138 × 3802 ) / 2
LCM(138,3802) = 524676 / 2
LCM(138,3802) = 262338
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7190/138, 2930/3802
1. What is the HCF of 7190,2930?
The HCF of 7190,2930 is 10
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 7190/138, 2930/3802?
Answer: GCF of Numerators as per given numbers 7190/138, 2930/3802 is
GCF of Numerators i.e. for 7190,2930 is 10
LCM of denominators i.e. for 138,3802 is 262338.
Thus, GCF of Fractions is 10/262338.Finally, GCF of Fractions for 7190/138, 2930/3802 is 10/262338.