Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 768/22,3508/574
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 768,3508
Greatest Common Factor of Numerators i.e. GCF of 768,3508 is 4 .
LCM of Denominators means LCM of 22,574 as per the given fractions.
LCM of 22,574 is 6314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 768,3508
2 | 768, 3508 |
2 | 384, 1754 |
192, 877 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Factors of 3508
List of positive integer factors of 3508 that divides 3508 without a remainder.
1,2,4,877,1754,3508
Greatest Common Factor
We found the factors 768,3508 . The biggest common factor number is the GCF number.
So the greatest common factor 768,3508 is 4.
Lets's calculate LCM of 22,574
2 | 22, 574 |
11, 287 |
∴ So the LCM of the given numbers is 2 x 11 x 287 = 6314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6314
Therefore, the GCF of Fractions 768/22,3508/574 is 4/6314
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 22,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(22,574) x common factors =2 x 1 = 2
LCM(22,574) = ( 22 × 574 ) / 2
LCM(22,574) = 12628 / 2
LCM(22,574) = 6314
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 768/22, 3508/574?
Answer: GCF of Numerators as per given numbers 768/22, 3508/574 is
GCF of Numerators i.e. for 768,3508 is 4
LCM of denominators i.e. for 22,574 is 6314.
Thus, GCF of Fractions is 4/6314.Finally, GCF of Fractions for 768/22, 3508/574 is 4/6314.