Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 616/392,848/182
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 616,848
Greatest Common Factor of Numerators i.e. GCF of 616,848 is 8 .
LCM of Denominators means LCM of 392,182 as per the given fractions.
LCM of 392,182 is 5096 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 616,848
2 | 616, 848 |
2 | 308, 424 |
2 | 154, 212 |
77, 106 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 616,848 . The biggest common factor number is the GCF number.
So the greatest common factor 616,848 is 8.
Lets's calculate LCM of 392,182
2 | 392, 182 |
7 | 196, 91 |
28, 13 |
∴ So the LCM of the given numbers is 2 x 7 x 28 x 13 = 5096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5096
Therefore, the GCF of Fractions 616/392,848/182 is 8/5096
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 392,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,182) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(392,182) x common factors =14 x 1 = 14
LCM(392,182) = ( 392 × 182 ) / 14
LCM(392,182) = 71344 / 14
LCM(392,182) = 5096
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 616/392, 848/182?
Answer: GCF of Numerators as per given numbers 616/392, 848/182 is
GCF of Numerators i.e. for 616,848 is 8
LCM of denominators i.e. for 392,182 is 5096.
Thus, GCF of Fractions is 8/5096.Finally, GCF of Fractions for 616/392, 848/182 is 8/5096.