Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 848/92,178/13,152/808
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 848,178,152
Greatest Common Factor of Numerators i.e. GCF of 848,178,152 is 2 .
LCM of Denominators means LCM of 92,13,808 as per the given fractions.
LCM of 92,13,808 is 241592 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 848,178,152
2 | 848, 178, 152 |
424, 89, 76 |
∴ So the GCF of the given numbers is 2 = 2
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
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 848,178,152 . The biggest common factor number is the GCF number.
So the greatest common factor 848,178,152 is 2.
Lets's calculate LCM of 92,13,808
2 | 92, 13, 808 |
2 | 46, 13, 404 |
23, 13, 202 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 13 x 202 = 241592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/241592
Therefore, the GCF of Fractions 848/92,178/13,152/808 is 2/241592
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 92,13,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,13,808) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(92,13,808) x common factors =1 x 4 = 4
LCM(92,13,808) = ( 92 × 13 × 808 ) / 4
LCM(92,13,808) = 966368 / 4
LCM(92,13,808) = 241592
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 848/92, 178/13, 152/808?
Answer: GCF of Numerators as per given numbers 848/92, 178/13, 152/808 is
GCF of Numerators i.e. for 848,178,152 is 2
LCM of denominators i.e. for 92,13,808 is 241592.
Thus, GCF of Fractions is 2/241592.Finally, GCF of Fractions for 848/92, 178/13, 152/808 is 2/241592.