Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3072/77,1276/526
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 3072,1276
Greatest Common Factor of Numerators i.e. GCF of 3072,1276 is 4 .
LCM of Denominators means LCM of 77,526 as per the given fractions.
LCM of 77,526 is 40502 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3072,1276
2 | 3072, 1276 |
2 | 1536, 638 |
768, 319 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3072
List of positive integer factors of 3072 that divides 3072 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,3072
Factors of 1276
List of positive integer factors of 1276 that divides 1276 without a remainder.
1,2,4,11,22,29,44,58,116,319,638,1276
Greatest Common Factor
We found the factors 3072,1276 . The biggest common factor number is the GCF number.
So the greatest common factor 3072,1276 is 4.
Lets's calculate LCM of 77,526
Given numbers has no common factors except 1. So, there LCM is their product i.e 40502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/40502
Therefore, the GCF of Fractions 3072/77,1276/526 is 4/40502
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 77,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,526) x common factors =1 x 1 = 1
LCM(77,526) = ( 77 × 526 ) / 1
LCM(77,526) = 40502 / 1
LCM(77,526) = 40502
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 3072/77, 1276/526?
Answer: GCF of Numerators as per given numbers 3072/77, 1276/526 is
GCF of Numerators i.e. for 3072,1276 is 4
LCM of denominators i.e. for 77,526 is 40502.
Thus, GCF of Fractions is 4/40502.Finally, GCF of Fractions for 3072/77, 1276/526 is 4/40502.