Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/56,94/97,18/670,112/669
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 4,94,18,112
Greatest Common Factor of Numerators i.e. GCF of 4,94,18,112 is 2 .
LCM of Denominators means LCM of 56,97,670,669 as per the given fractions.
LCM of 56,97,670,669 is 1217392680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,94,18,112
2 | 4, 94, 18, 112 |
2, 47, 9, 56 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 4,94,18,112 . The biggest common factor number is the GCF number.
So the greatest common factor 4,94,18,112 is 2.
Lets's calculate LCM of 56,97,670,669
2 | 56, 97, 670, 669 |
28, 97, 335, 669 |
∴ So the LCM of the given numbers is 2 x 28 x 97 x 335 x 669 = 1217392680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1217392680
Therefore, the GCF of Fractions 4/56,94/97,18/670,112/669 is 2/1217392680
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 56,97,670,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,97,670,669) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(56,97,670,669) x common factors =1 x 2 = 2
LCM(56,97,670,669) = ( 56 × 97 × 670 × 669 ) / 2
LCM(56,97,670,669) = 2434785360 / 2
LCM(56,97,670,669) = 1217392680
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 4/56, 94/97, 18/670, 112/669?
Answer: GCF of Numerators as per given numbers 4/56, 94/97, 18/670, 112/669 is
GCF of Numerators i.e. for 4,94,18,112 is 2
LCM of denominators i.e. for 56,97,670,669 is 1217392680.
Thus, GCF of Fractions is 2/1217392680.Finally, GCF of Fractions for 4/56, 94/97, 18/670, 112/669 is 2/1217392680.