Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7043/880,3416/8570
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 7043,3416
Greatest Common Factor of Numerators i.e. GCF of 7043,3416 is 1 .
LCM of Denominators means LCM of 880,8570 as per the given fractions.
LCM of 880,8570 is 754160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7043,3416
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7043
List of positive integer factors of 7043 that divides 7043 without a remainder.
1,7043
Factors of 3416
List of positive integer factors of 3416 that divides 3416 without a remainder.
1,2,4,7,8,14,28,56,61,122,244,427,488,854,1708,3416
Greatest Common Factor
We found the factors 7043,3416 . The biggest common factor number is the GCF number.
So the greatest common factor 7043,3416 is 1.
Lets's calculate LCM of 880,8570
2 | 880, 8570 |
5 | 440, 4285 |
88, 857 |
∴ So the LCM of the given numbers is 2 x 5 x 88 x 857 = 754160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/754160
Therefore, the GCF of Fractions 7043/880,3416/8570 is 1/754160
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 880,8570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,8570) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(880,8570) x common factors =10 x 1 = 10
LCM(880,8570) = ( 880 × 8570 ) / 10
LCM(880,8570) = 7541600 / 10
LCM(880,8570) = 754160
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 7043/880, 3416/8570?
Answer: GCF of Numerators as per given numbers 7043/880, 3416/8570 is
GCF of Numerators i.e. for 7043,3416 is 1
LCM of denominators i.e. for 880,8570 is 754160.
Thus, GCF of Fractions is 1/754160.Finally, GCF of Fractions for 7043/880, 3416/8570 is 1/754160.