GCF of 7260/154, 1898/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7260/154, 1898/369 i.e 2/56826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7260/154, 1898/369.
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 7260/154,1898/369?
Given fractions are 7260/154,1898/369
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 7260/154,1898/369, numerators are 7260,1898
Denominators are 154,369
The GCF of 7260,1898 is 2 .
LCM of 154,369 is 56826.
The greatest common factor of 7260/154,1898/369 = [GCF of 7260,1898]/[LCM of 154,369]= 2/56826
Therefore, the GCF of 7260/154,1898/369 is 2/56826.
To find the highest common factor of 7260,1898, we have to find the factors of both numbers and list the highest common factor.
The factors of 7260 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1452, 1815, 2420, 3630, 7260
The factors of 1898 are 1, 2, 13, 26, 73, 146, 949, 1898
The HCF of 7260,1898 is 2.
Lets's calculate GCF of 7260,1898
| 2 | 7260, 1898 |
| 3630, 949 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7260,1898 By Matching Biggest Common Factor Method
Now, list down the factors of 7260
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260
Now, list down the factors of 1898
:1,2,13,26,73,146,949,1898
Greatest Common Factor
We found the factors 7260,1898 . The biggest common factor number is the GCF number.
So the greatest common factor 7260,1898 is 2.
Lets's calculate LCM of 154,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 56826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56826
Therefore, the GCF of Fractions 7260/154,1898/369 is 2/56826
Least Common Multiple of 154,369 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 154,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(154,369) x common factors =1 x 1 = 1
LCM(154,369) = ( 154 × 369 ) / 1
LCM(154,369) = 56826 / 1
LCM(154,369) = 56826
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FAQs on GCF of Fractions of 7260/154, 1898/369
1. What is the HCF of 7260,1898?
The HCF of 7260,1898 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 7260/154, 1898/369?
Answer: GCF of Numerators as per given numbers 7260/154, 1898/369 is
GCF of Numerators i.e. for 7260,1898 is 2
LCM of denominators i.e. for 154,369 is 56826.
Thus, GCF of Fractions is 2/56826.Finally, GCF of Fractions for 7260/154, 1898/369 is 2/56826.