Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/53,878/20,154/749
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 14,878,154
Greatest Common Factor of Numerators i.e. GCF of 14,878,154 is 2 .
LCM of Denominators means LCM of 53,20,749 as per the given fractions.
LCM of 53,20,749 is 793940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,878,154
2 | 14, 878, 154 |
7, 439, 77 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 14,878,154 . The biggest common factor number is the GCF number.
So the greatest common factor 14,878,154 is 2.
Lets's calculate LCM of 53,20,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 793940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/793940
Therefore, the GCF of Fractions 14/53,878/20,154/749 is 2/793940
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 53,20,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,20,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,20,749) x common factors =1 x 1 = 1
LCM(53,20,749) = ( 53 × 20 × 749 ) / 1
LCM(53,20,749) = 793940 / 1
LCM(53,20,749) = 793940
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 14/53, 878/20, 154/749?
Answer: GCF of Numerators as per given numbers 14/53, 878/20, 154/749 is
GCF of Numerators i.e. for 14,878,154 is 2
LCM of denominators i.e. for 53,20,749 is 793940.
Thus, GCF of Fractions is 2/793940.Finally, GCF of Fractions for 14/53, 878/20, 154/749 is 2/793940.