Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/12,7/69,77/29,55/278
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 4,7,77,55
Greatest Common Factor of Numerators i.e. GCF of 4,7,77,55 is 1 .
LCM of Denominators means LCM of 12,69,29,278 as per the given fractions.
LCM of 12,69,29,278 is 1112556 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,7,77,55
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Greatest Common Factor
We found the factors 4,7,77,55 . The biggest common factor number is the GCF number.
So the greatest common factor 4,7,77,55 is 1.
Lets's calculate LCM of 12,69,29,278
2 | 12, 69, 29, 278 |
3 | 6, 69, 29, 139 |
2, 23, 29, 139 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 23 x 29 x 139 = 1112556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1112556
Therefore, the GCF of Fractions 4/12,7/69,77/29,55/278 is 1/1112556
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 12,69,29,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,69,29,278) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(12,69,29,278) x common factors =1 x 6 = 6
LCM(12,69,29,278) = ( 12 × 69 × 29 × 278 ) / 6
LCM(12,69,29,278) = 6675336 / 6
LCM(12,69,29,278) = 1112556
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 4/12, 7/69, 77/29, 55/278?
Answer: GCF of Numerators as per given numbers 4/12, 7/69, 77/29, 55/278 is
GCF of Numerators i.e. for 4,7,77,55 is 1
LCM of denominators i.e. for 12,69,29,278 is 1112556.
Thus, GCF of Fractions is 1/1112556.Finally, GCF of Fractions for 4/12, 7/69, 77/29, 55/278 is 1/1112556.