Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3448/152,4100/9682
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 3448,4100
Greatest Common Factor of Numerators i.e. GCF of 3448,4100 is 4 .
LCM of Denominators means LCM of 152,9682 as per the given fractions.
LCM of 152,9682 is 735832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3448,4100
2 | 3448, 4100 |
2 | 1724, 2050 |
862, 1025 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3448
List of positive integer factors of 3448 that divides 3448 without a remainder.
1,2,4,8,431,862,1724,3448
Factors of 4100
List of positive integer factors of 4100 that divides 4100 without a remainder.
1,2,4,5,10,20,25,41,50,82,100,164,205,410,820,1025,2050,4100
Greatest Common Factor
We found the factors 3448,4100 . The biggest common factor number is the GCF number.
So the greatest common factor 3448,4100 is 4.
Lets's calculate LCM of 152,9682
2 | 152, 9682 |
76, 4841 |
∴ So the LCM of the given numbers is 2 x 76 x 4841 = 735832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/735832
Therefore, the GCF of Fractions 3448/152,4100/9682 is 4/735832
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 152,9682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,9682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(152,9682) x common factors =2 x 1 = 2
LCM(152,9682) = ( 152 × 9682 ) / 2
LCM(152,9682) = 1471664 / 2
LCM(152,9682) = 735832
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 3448/152, 4100/9682?
Answer: GCF of Numerators as per given numbers 3448/152, 4100/9682 is
GCF of Numerators i.e. for 3448,4100 is 4
LCM of denominators i.e. for 152,9682 is 735832.
Thus, GCF of Fractions is 4/735832.Finally, GCF of Fractions for 3448/152, 4100/9682 is 4/735832.