Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/87,46/96,61/807,733/355
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 9,46,61,733
Greatest Common Factor of Numerators i.e. GCF of 9,46,61,733 is 1 .
LCM of Denominators means LCM of 87,96,807,355 as per the given fractions.
LCM of 87,96,807,355 is 265858080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,46,61,733
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Greatest Common Factor
We found the factors 9,46,61,733 . The biggest common factor number is the GCF number.
So the greatest common factor 9,46,61,733 is 1.
Lets's calculate LCM of 87,96,807,355
3 | 87, 96, 807, 355 |
29, 32, 269, 355 |
∴ So the LCM of the given numbers is 3 x 29 x 32 x 269 x 355 = 265858080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265858080
Therefore, the GCF of Fractions 9/87,46/96,61/807,733/355 is 1/265858080
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 87,96,807,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,96,807,355) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(87,96,807,355) x common factors =1 x 9 = 9
LCM(87,96,807,355) = ( 87 × 96 × 807 × 355 ) / 9
LCM(87,96,807,355) = 2392722720 / 9
LCM(87,96,807,355) = 265858080
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 9/87, 46/96, 61/807, 733/355?
Answer: GCF of Numerators as per given numbers 9/87, 46/96, 61/807, 733/355 is
GCF of Numerators i.e. for 9,46,61,733 is 1
LCM of denominators i.e. for 87,96,807,355 is 265858080.
Thus, GCF of Fractions is 1/265858080.Finally, GCF of Fractions for 9/87, 46/96, 61/807, 733/355 is 1/265858080.