Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2941/707,7284/7380
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 2941,7284
Greatest Common Factor of Numerators i.e. GCF of 2941,7284 is 1 .
LCM of Denominators means LCM of 707,7380 as per the given fractions.
LCM of 707,7380 is 5217660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2941,7284
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2941
List of positive integer factors of 2941 that divides 2941 without a remainder.
1,17,173,2941
Factors of 7284
List of positive integer factors of 7284 that divides 7284 without a remainder.
1,2,3,4,6,12,607,1214,1821,2428,3642,7284
Greatest Common Factor
We found the factors 2941,7284 . The biggest common factor number is the GCF number.
So the greatest common factor 2941,7284 is 1.
Lets's calculate LCM of 707,7380
Given numbers has no common factors except 1. So, there LCM is their product i.e 5217660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5217660
Therefore, the GCF of Fractions 2941/707,7284/7380 is 1/5217660
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 707,7380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,7380) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,7380) x common factors =1 x 1 = 1
LCM(707,7380) = ( 707 × 7380 ) / 1
LCM(707,7380) = 5217660 / 1
LCM(707,7380) = 5217660
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 2941/707, 7284/7380?
Answer: GCF of Numerators as per given numbers 2941/707, 7284/7380 is
GCF of Numerators i.e. for 2941,7284 is 1
LCM of denominators i.e. for 707,7380 is 5217660.
Thus, GCF of Fractions is 1/5217660.Finally, GCF of Fractions for 2941/707, 7284/7380 is 1/5217660.