Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7688/155,8797/280
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 7688,8797
Greatest Common Factor of Numerators i.e. GCF of 7688,8797 is 1 .
LCM of Denominators means LCM of 155,280 as per the given fractions.
LCM of 155,280 is 8680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7688,8797
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7688
List of positive integer factors of 7688 that divides 7688 without a remainder.
1,2,4,8,31,62,124,248,961,1922,3844,7688
Factors of 8797
List of positive integer factors of 8797 that divides 8797 without a remainder.
1,19,463,8797
Greatest Common Factor
We found the factors 7688,8797 . The biggest common factor number is the GCF number.
So the greatest common factor 7688,8797 is 1.
Lets's calculate LCM of 155,280
5 | 155, 280 |
31, 56 |
∴ So the LCM of the given numbers is 5 x 31 x 56 = 8680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8680
Therefore, the GCF of Fractions 7688/155,8797/280 is 1/8680
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 155,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,280) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(155,280) x common factors =5 x 1 = 5
LCM(155,280) = ( 155 × 280 ) / 5
LCM(155,280) = 43400 / 5
LCM(155,280) = 8680
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 7688/155, 8797/280?
Answer: GCF of Numerators as per given numbers 7688/155, 8797/280 is
GCF of Numerators i.e. for 7688,8797 is 1
LCM of denominators i.e. for 155,280 is 8680.
Thus, GCF of Fractions is 1/8680.Finally, GCF of Fractions for 7688/155, 8797/280 is 1/8680.