Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2772/74,3776/943
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 2772,3776
Greatest Common Factor of Numerators i.e. GCF of 2772,3776 is 4 .
LCM of Denominators means LCM of 74,943 as per the given fractions.
LCM of 74,943 is 69782 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2772,3776
2 | 2772, 3776 |
2 | 1386, 1888 |
693, 944 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 2772
List of positive integer factors of 2772 that divides 2772 without a remainder.
1,2,3,4,6,7,9,11,12,14,18,21,22,28,33,36,42,44,63,66,77,84,99,126,132,154,198,231,252,308,396,462,693,924,1386,2772
Factors of 3776
List of positive integer factors of 3776 that divides 3776 without a remainder.
1,2,4,8,16,32,59,64,118,236,472,944,1888,3776
Greatest Common Factor
We found the factors 2772,3776 . The biggest common factor number is the GCF number.
So the greatest common factor 2772,3776 is 4.
Lets's calculate LCM of 74,943
Given numbers has no common factors except 1. So, there LCM is their product i.e 69782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/69782
Therefore, the GCF of Fractions 2772/74,3776/943 is 4/69782
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 74,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,943) x common factors =1 x 1 = 1
LCM(74,943) = ( 74 × 943 ) / 1
LCM(74,943) = 69782 / 1
LCM(74,943) = 69782
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 2772/74, 3776/943?
Answer: GCF of Numerators as per given numbers 2772/74, 3776/943 is
GCF of Numerators i.e. for 2772,3776 is 4
LCM of denominators i.e. for 74,943 is 69782.
Thus, GCF of Fractions is 4/69782.Finally, GCF of Fractions for 2772/74, 3776/943 is 4/69782.