Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 142/692,842/437,942/223
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 142,842,942
Greatest Common Factor of Numerators i.e. GCF of 142,842,942 is 2 .
LCM of Denominators means LCM of 692,437,223 as per the given fractions.
LCM of 692,437,223 is 67436092 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 142,842,942
2 | 142, 842, 942 |
71, 421, 471 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 142,842,942 . The biggest common factor number is the GCF number.
So the greatest common factor 142,842,942 is 2.
Lets's calculate LCM of 692,437,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 67436092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67436092
Therefore, the GCF of Fractions 142/692,842/437,942/223 is 2/67436092
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 692,437,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,437,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,437,223) x common factors =1 x 1 = 1
LCM(692,437,223) = ( 692 × 437 × 223 ) / 1
LCM(692,437,223) = 67436092 / 1
LCM(692,437,223) = 67436092
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 142/692, 842/437, 942/223?
Answer: GCF of Numerators as per given numbers 142/692, 842/437, 942/223 is
GCF of Numerators i.e. for 142,842,942 is 2
LCM of denominators i.e. for 692,437,223 is 67436092.
Thus, GCF of Fractions is 2/67436092.Finally, GCF of Fractions for 142/692, 842/437, 942/223 is 2/67436092.