Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 978/291,282/700,490/410
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 978,282,490
Greatest Common Factor of Numerators i.e. GCF of 978,282,490 is 2 .
LCM of Denominators means LCM of 291,700,410 as per the given fractions.
LCM of 291,700,410 is 8351700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 978,282,490
2 | 978, 282, 490 |
489, 141, 245 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 978,282,490 . The biggest common factor number is the GCF number.
So the greatest common factor 978,282,490 is 2.
Lets's calculate LCM of 291,700,410
2 | 291, 700, 410 |
5 | 291, 350, 205 |
291, 70, 41 |
∴ So the LCM of the given numbers is 2 x 5 x 291 x 70 x 41 = 8351700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8351700
Therefore, the GCF of Fractions 978/291,282/700,490/410 is 2/8351700
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 291,700,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,700,410) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(291,700,410) x common factors =1 x 10 = 10
LCM(291,700,410) = ( 291 × 700 × 410 ) / 10
LCM(291,700,410) = 83517000 / 10
LCM(291,700,410) = 8351700
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 978/291, 282/700, 490/410?
Answer: GCF of Numerators as per given numbers 978/291, 282/700, 490/410 is
GCF of Numerators i.e. for 978,282,490 is 2
LCM of denominators i.e. for 291,700,410 is 8351700.
Thus, GCF of Fractions is 2/8351700.Finally, GCF of Fractions for 978/291, 282/700, 490/410 is 2/8351700.