Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 279/677,199/178,312/679
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 279,199,312
Greatest Common Factor of Numerators i.e. GCF of 279,199,312 is 1 .
LCM of Denominators means LCM of 677,178,679 as per the given fractions.
LCM of 677,178,679 is 81823574 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 279,199,312
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Factors of 199
List of positive integer factors of 199 that divides 199 without a remainder.
1,199
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 279,199,312 . The biggest common factor number is the GCF number.
So the greatest common factor 279,199,312 is 1.
Lets's calculate LCM of 677,178,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 81823574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81823574
Therefore, the GCF of Fractions 279/677,199/178,312/679 is 1/81823574
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 677,178,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,178,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,178,679) x common factors =1 x 1 = 1
LCM(677,178,679) = ( 677 × 178 × 679 ) / 1
LCM(677,178,679) = 81823574 / 1
LCM(677,178,679) = 81823574
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 279/677, 199/178, 312/679?
Answer: GCF of Numerators as per given numbers 279/677, 199/178, 312/679 is
GCF of Numerators i.e. for 279,199,312 is 1
LCM of denominators i.e. for 677,178,679 is 81823574.
Thus, GCF of Fractions is 1/81823574.Finally, GCF of Fractions for 279/677, 199/178, 312/679 is 1/81823574.