Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 174/508,452/463,654/458
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 174,452,654
Greatest Common Factor of Numerators i.e. GCF of 174,452,654 is 2 .
LCM of Denominators means LCM of 508,463,458 as per the given fractions.
LCM of 508,463,458 is 53861716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 174,452,654
2 | 174, 452, 654 |
87, 226, 327 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 174,452,654 . The biggest common factor number is the GCF number.
So the greatest common factor 174,452,654 is 2.
Lets's calculate LCM of 508,463,458
2 | 508, 463, 458 |
254, 463, 229 |
∴ So the LCM of the given numbers is 2 x 254 x 463 x 229 = 53861716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53861716
Therefore, the GCF of Fractions 174/508,452/463,654/458 is 2/53861716
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 508,463,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,463,458) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(508,463,458) x common factors =1 x 2 = 2
LCM(508,463,458) = ( 508 × 463 × 458 ) / 2
LCM(508,463,458) = 107723432 / 2
LCM(508,463,458) = 53861716
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 174/508, 452/463, 654/458?
Answer: GCF of Numerators as per given numbers 174/508, 452/463, 654/458 is
GCF of Numerators i.e. for 174,452,654 is 2
LCM of denominators i.e. for 508,463,458 is 53861716.
Thus, GCF of Fractions is 2/53861716.Finally, GCF of Fractions for 174/508, 452/463, 654/458 is 2/53861716.