Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7716/56,1680/269
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 7716,1680
Greatest Common Factor of Numerators i.e. GCF of 7716,1680 is 12 .
LCM of Denominators means LCM of 56,269 as per the given fractions.
LCM of 56,269 is 15064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7716,1680
2 | 7716, 1680 |
2 | 3858, 840 |
3 | 1929, 420 |
643, 140 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 7716
List of positive integer factors of 7716 that divides 7716 without a remainder.
1,2,3,4,6,12,643,1286,1929,2572,3858,7716
Factors of 1680
List of positive integer factors of 1680 that divides 1680 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,35,40,42,48,56,60,70,80,84,105,112,120,140,168,210,240,280,336,420,560,840,1680
Greatest Common Factor
We found the factors 7716,1680 . The biggest common factor number is the GCF number.
So the greatest common factor 7716,1680 is 12.
Lets's calculate LCM of 56,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 15064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/15064
Therefore, the GCF of Fractions 7716/56,1680/269 is 12/15064
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 56,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,269) x common factors =1 x 1 = 1
LCM(56,269) = ( 56 × 269 ) / 1
LCM(56,269) = 15064 / 1
LCM(56,269) = 15064
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 7716/56, 1680/269?
Answer: GCF of Numerators as per given numbers 7716/56, 1680/269 is
GCF of Numerators i.e. for 7716,1680 is 12
LCM of denominators i.e. for 56,269 is 15064.
Thus, GCF of Fractions is 12/15064.Finally, GCF of Fractions for 7716/56, 1680/269 is 12/15064.