Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 291/163,1344/8790
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 291,1344
Greatest Common Factor of Numerators i.e. GCF of 291,1344 is 3 .
LCM of Denominators means LCM of 163,8790 as per the given fractions.
LCM of 163,8790 is 1432770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 291,1344
3 | 291, 1344 |
97, 448 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 1344
List of positive integer factors of 1344 that divides 1344 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,168,192,224,336,448,672,1344
Greatest Common Factor
We found the factors 291,1344 . The biggest common factor number is the GCF number.
So the greatest common factor 291,1344 is 3.
Lets's calculate LCM of 163,8790
Given numbers has no common factors except 1. So, there LCM is their product i.e 1432770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1432770
Therefore, the GCF of Fractions 291/163,1344/8790 is 3/1432770
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 163,8790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,8790) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,8790) x common factors =1 x 1 = 1
LCM(163,8790) = ( 163 × 8790 ) / 1
LCM(163,8790) = 1432770 / 1
LCM(163,8790) = 1432770
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 291/163, 1344/8790?
Answer: GCF of Numerators as per given numbers 291/163, 1344/8790 is
GCF of Numerators i.e. for 291,1344 is 3
LCM of denominators i.e. for 163,8790 is 1432770.
Thus, GCF of Fractions is 3/1432770.Finally, GCF of Fractions for 291/163, 1344/8790 is 3/1432770.