Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 748/675,5036/885
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 748,5036
Greatest Common Factor of Numerators i.e. GCF of 748,5036 is 4 .
LCM of Denominators means LCM of 675,885 as per the given fractions.
LCM of 675,885 is 39825 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 748,5036
2 | 748, 5036 |
2 | 374, 2518 |
187, 1259 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 5036
List of positive integer factors of 5036 that divides 5036 without a remainder.
1,2,4,1259,2518,5036
Greatest Common Factor
We found the factors 748,5036 . The biggest common factor number is the GCF number.
So the greatest common factor 748,5036 is 4.
Lets's calculate LCM of 675,885
3 | 675, 885 |
5 | 225, 295 |
45, 59 |
∴ So the LCM of the given numbers is 3 x 5 x 45 x 59 = 39825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/39825
Therefore, the GCF of Fractions 748/675,5036/885 is 4/39825
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 675,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,885) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(675,885) x common factors =15 x 1 = 15
LCM(675,885) = ( 675 × 885 ) / 15
LCM(675,885) = 597375 / 15
LCM(675,885) = 39825
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 748/675, 5036/885?
Answer: GCF of Numerators as per given numbers 748/675, 5036/885 is
GCF of Numerators i.e. for 748,5036 is 4
LCM of denominators i.e. for 675,885 is 39825.
Thus, GCF of Fractions is 4/39825.Finally, GCF of Fractions for 748/675, 5036/885 is 4/39825.