Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 264/500,996/351,280/758
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 264,996,280
Greatest Common Factor of Numerators i.e. GCF of 264,996,280 is 4 .
LCM of Denominators means LCM of 500,351,758 as per the given fractions.
LCM of 500,351,758 is 66514500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 264,996,280
2 | 264, 996, 280 |
2 | 132, 498, 140 |
66, 249, 70 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 264,996,280 . The biggest common factor number is the GCF number.
So the greatest common factor 264,996,280 is 4.
Lets's calculate LCM of 500,351,758
2 | 500, 351, 758 |
250, 351, 379 |
∴ So the LCM of the given numbers is 2 x 250 x 351 x 379 = 66514500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/66514500
Therefore, the GCF of Fractions 264/500,996/351,280/758 is 4/66514500
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 500,351,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,351,758) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(500,351,758) x common factors =1 x 2 = 2
LCM(500,351,758) = ( 500 × 351 × 758 ) / 2
LCM(500,351,758) = 133029000 / 2
LCM(500,351,758) = 66514500
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 264/500, 996/351, 280/758?
Answer: GCF of Numerators as per given numbers 264/500, 996/351, 280/758 is
GCF of Numerators i.e. for 264,996,280 is 4
LCM of denominators i.e. for 500,351,758 is 66514500.
Thus, GCF of Fractions is 4/66514500.Finally, GCF of Fractions for 264/500, 996/351, 280/758 is 4/66514500.