Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 791/432,4980/360
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 791,4980
Greatest Common Factor of Numerators i.e. GCF of 791,4980 is 1 .
LCM of Denominators means LCM of 432,360 as per the given fractions.
LCM of 432,360 is 2160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 791,4980
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 4980
List of positive integer factors of 4980 that divides 4980 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,83,166,249,332,415,498,830,996,1245,1660,2490,4980
Greatest Common Factor
We found the factors 791,4980 . The biggest common factor number is the GCF number.
So the greatest common factor 791,4980 is 1.
Lets's calculate LCM of 432,360
2 | 432, 360 |
2 | 216, 180 |
2 | 108, 90 |
3 | 54, 45 |
3 | 18, 15 |
6, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 6 x 5 = 2160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2160
Therefore, the GCF of Fractions 791/432,4980/360 is 1/2160
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 432,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,360) = 72
common factors(in case of two or more numbers have common factors) = 1
GCF(432,360) x common factors =72 x 1 = 72
LCM(432,360) = ( 432 × 360 ) / 72
LCM(432,360) = 155520 / 72
LCM(432,360) = 2160
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 791/432, 4980/360?
Answer: GCF of Numerators as per given numbers 791/432, 4980/360 is
GCF of Numerators i.e. for 791,4980 is 1
LCM of denominators i.e. for 432,360 is 2160.
Thus, GCF of Fractions is 1/2160.Finally, GCF of Fractions for 791/432, 4980/360 is 1/2160.