Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/29,253/15,510/421
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 49,253,510
Greatest Common Factor of Numerators i.e. GCF of 49,253,510 is 1 .
LCM of Denominators means LCM of 29,15,421 as per the given fractions.
LCM of 29,15,421 is 183135 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,253,510
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 49,253,510 . The biggest common factor number is the GCF number.
So the greatest common factor 49,253,510 is 1.
Lets's calculate LCM of 29,15,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 183135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183135
Therefore, the GCF of Fractions 49/29,253/15,510/421 is 1/183135
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 29,15,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,15,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,15,421) x common factors =1 x 1 = 1
LCM(29,15,421) = ( 29 × 15 × 421 ) / 1
LCM(29,15,421) = 183135 / 1
LCM(29,15,421) = 183135
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 49/29, 253/15, 510/421?
Answer: GCF of Numerators as per given numbers 49/29, 253/15, 510/421 is
GCF of Numerators i.e. for 49,253,510 is 1
LCM of denominators i.e. for 29,15,421 is 183135.
Thus, GCF of Fractions is 1/183135.Finally, GCF of Fractions for 49/29, 253/15, 510/421 is 1/183135.