GCF of 2370/279, 1878/516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2370/279, 1878/516 i.e 6/47988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2370/279, 1878/516.
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 2370/279,1878/516?
Given fractions are 2370/279,1878/516
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 2370/279,1878/516, numerators are 2370,1878
Denominators are 279,516
The GCF of 2370,1878 is 6 .
LCM of 279,516 is 47988.
The greatest common factor of 2370/279,1878/516 = [GCF of 2370,1878]/[LCM of 279,516]= 6/47988
Therefore, the GCF of 2370/279,1878/516 is 6/47988.
To find the highest common factor of 2370,1878, we have to find the factors of both numbers and list the highest common factor.
The factors of 2370 are 1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370
The factors of 1878 are 1, 2, 3, 6, 313, 626, 939, 1878
The HCF of 2370,1878 is 6.
Lets's calculate GCF of 2370,1878
| 2 | 2370, 1878 |
| 3 | 1185, 939 |
| 395, 313 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2370,1878 By Matching Biggest Common Factor Method
Now, list down the factors of 2370
:1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370
Now, list down the factors of 1878
:1,2,3,6,313,626,939,1878
Greatest Common Factor
We found the factors 2370,1878 . The biggest common factor number is the GCF number.
So the greatest common factor 2370,1878 is 6.
Lets's calculate LCM of 279,516
| 3 | 279, 516 |
| 93, 172 |
∴ So the LCM of the given numbers is 3 x 93 x 172 = 47988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/47988
Therefore, the GCF of Fractions 2370/279,1878/516 is 6/47988
Least Common Multiple of 279,516 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 279,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,516) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(279,516) x common factors =3 x 1 = 3
LCM(279,516) = ( 279 × 516 ) / 3
LCM(279,516) = 143964 / 3
LCM(279,516) = 47988
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FAQs on GCF of Fractions of 2370/279, 1878/516
1. What is the HCF of 2370,1878?
The HCF of 2370,1878 is 6
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 2370/279, 1878/516?
Answer: GCF of Numerators as per given numbers 2370/279, 1878/516 is
GCF of Numerators i.e. for 2370,1878 is 6
LCM of denominators i.e. for 279,516 is 47988.
Thus, GCF of Fractions is 6/47988.Finally, GCF of Fractions for 2370/279, 1878/516 is 6/47988.