Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 878/65,796/50,980/746
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 878,796,980
Greatest Common Factor of Numerators i.e. GCF of 878,796,980 is 2 .
LCM of Denominators means LCM of 65,50,746 as per the given fractions.
LCM of 65,50,746 is 242450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 878,796,980
2 | 878, 796, 980 |
439, 398, 490 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 878,796,980 . The biggest common factor number is the GCF number.
So the greatest common factor 878,796,980 is 2.
Lets's calculate LCM of 65,50,746
2 | 65, 50, 746 |
5 | 65, 25, 373 |
13, 5, 373 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 5 x 373 = 242450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/242450
Therefore, the GCF of Fractions 878/65,796/50,980/746 is 2/242450
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 65,50,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,50,746) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(65,50,746) x common factors =1 x 10 = 10
LCM(65,50,746) = ( 65 × 50 × 746 ) / 10
LCM(65,50,746) = 2424500 / 10
LCM(65,50,746) = 242450
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 878/65, 796/50, 980/746?
Answer: GCF of Numerators as per given numbers 878/65, 796/50, 980/746 is
GCF of Numerators i.e. for 878,796,980 is 2
LCM of denominators i.e. for 65,50,746 is 242450.
Thus, GCF of Fractions is 2/242450.Finally, GCF of Fractions for 878/65, 796/50, 980/746 is 2/242450.