GCF of 2910/978, 1234/297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2910/978, 1234/297 i.e 2/96822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2910/978, 1234/297.
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 2910/978,1234/297?
Given fractions are 2910/978,1234/297
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 2910/978,1234/297, numerators are 2910,1234
Denominators are 978,297
The GCF of 2910,1234 is 2 .
LCM of 978,297 is 96822.
The greatest common factor of 2910/978,1234/297 = [GCF of 2910,1234]/[LCM of 978,297]= 2/96822
Therefore, the GCF of 2910/978,1234/297 is 2/96822.
To find the highest common factor of 2910,1234, we have to find the factors of both numbers and list the highest common factor.
The factors of 2910 are 1, 2, 3, 5, 6, 10, 15, 30, 97, 194, 291, 485, 582, 970, 1455, 2910
The factors of 1234 are 1, 2, 617, 1234
The HCF of 2910,1234 is 2.
Lets's calculate GCF of 2910,1234
| 2 | 2910, 1234 |
| 1455, 617 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2910,1234 By Matching Biggest Common Factor Method
Now, list down the factors of 2910
:1,2,3,5,6,10,15,30,97,194,291,485,582,970,1455,2910
Now, list down the factors of 1234
:1,2,617,1234
Greatest Common Factor
We found the factors 2910,1234 . The biggest common factor number is the GCF number.
So the greatest common factor 2910,1234 is 2.
Lets's calculate LCM of 978,297
| 3 | 978, 297 |
| 326, 99 |
∴ So the LCM of the given numbers is 3 x 326 x 99 = 96822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/96822
Therefore, the GCF of Fractions 2910/978,1234/297 is 2/96822
Least Common Multiple of 978,297 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 978,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,297) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(978,297) x common factors =3 x 1 = 3
LCM(978,297) = ( 978 × 297 ) / 3
LCM(978,297) = 290466 / 3
LCM(978,297) = 96822
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2910/978, 1234/297
1. What is the HCF of 2910,1234?
The HCF of 2910,1234 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 2910/978, 1234/297?
Answer: GCF of Numerators as per given numbers 2910/978, 1234/297 is
GCF of Numerators i.e. for 2910,1234 is 2
LCM of denominators i.e. for 978,297 is 96822.
Thus, GCF of Fractions is 2/96822.Finally, GCF of Fractions for 2910/978, 1234/297 is 2/96822.