Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4128/399,4712/2714
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 4128,4712
Greatest Common Factor of Numerators i.e. GCF of 4128,4712 is 8 .
LCM of Denominators means LCM of 399,2714 as per the given fractions.
LCM of 399,2714 is 1082886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4128,4712
2 | 4128, 4712 |
2 | 2064, 2356 |
2 | 1032, 1178 |
516, 589 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 4128
List of positive integer factors of 4128 that divides 4128 without a remainder.
1,2,3,4,6,8,12,16,24,32,43,48,86,96,129,172,258,344,516,688,1032,1376,2064,4128
Factors of 4712
List of positive integer factors of 4712 that divides 4712 without a remainder.
1,2,4,8,19,31,38,62,76,124,152,248,589,1178,2356,4712
Greatest Common Factor
We found the factors 4128,4712 . The biggest common factor number is the GCF number.
So the greatest common factor 4128,4712 is 8.
Lets's calculate LCM of 399,2714
Given numbers has no common factors except 1. So, there LCM is their product i.e 1082886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1082886
Therefore, the GCF of Fractions 4128/399,4712/2714 is 8/1082886
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 399,2714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,2714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(399,2714) x common factors =1 x 1 = 1
LCM(399,2714) = ( 399 × 2714 ) / 1
LCM(399,2714) = 1082886 / 1
LCM(399,2714) = 1082886
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 4128/399, 4712/2714?
Answer: GCF of Numerators as per given numbers 4128/399, 4712/2714 is
GCF of Numerators i.e. for 4128,4712 is 8
LCM of denominators i.e. for 399,2714 is 1082886.
Thus, GCF of Fractions is 8/1082886.Finally, GCF of Fractions for 4128/399, 4712/2714 is 8/1082886.