Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 168/531,354/152,748/631
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 168,354,748
Greatest Common Factor of Numerators i.e. GCF of 168,354,748 is 2 .
LCM of Denominators means LCM of 531,152,631 as per the given fractions.
LCM of 531,152,631 is 50929272 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 168,354,748
2 | 168, 354, 748 |
84, 177, 374 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 168,354,748 . The biggest common factor number is the GCF number.
So the greatest common factor 168,354,748 is 2.
Lets's calculate LCM of 531,152,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 50929272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50929272
Therefore, the GCF of Fractions 168/531,354/152,748/631 is 2/50929272
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 531,152,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,152,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(531,152,631) x common factors =1 x 1 = 1
LCM(531,152,631) = ( 531 × 152 × 631 ) / 1
LCM(531,152,631) = 50929272 / 1
LCM(531,152,631) = 50929272
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 168/531, 354/152, 748/631?
Answer: GCF of Numerators as per given numbers 168/531, 354/152, 748/631 is
GCF of Numerators i.e. for 168,354,748 is 2
LCM of denominators i.e. for 531,152,631 is 50929272.
Thus, GCF of Fractions is 2/50929272.Finally, GCF of Fractions for 168/531, 354/152, 748/631 is 2/50929272.