Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/696,58/510,164/904
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 46,58,164
Greatest Common Factor of Numerators i.e. GCF of 46,58,164 is 2 .
LCM of Denominators means LCM of 696,510,904 as per the given fractions.
LCM of 696,510,904 is 6685080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 46,58,164
2 | 46, 58, 164 |
23, 29, 82 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Greatest Common Factor
We found the factors 46,58,164 . The biggest common factor number is the GCF number.
So the greatest common factor 46,58,164 is 2.
Lets's calculate LCM of 696,510,904
2 | 696, 510, 904 |
2 | 348, 255, 452 |
2 | 174, 255, 226 |
3 | 87, 255, 113 |
29, 85, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 29 x 85 x 113 = 6685080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6685080
Therefore, the GCF of Fractions 46/696,58/510,164/904 is 2/6685080
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 696,510,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,510,904) = 2
common factors(in case of two or more numbers have common factors) = 24
GCF(696,510,904) x common factors =2 x 24 = 48
LCM(696,510,904) = ( 696 × 510 × 904 ) / 48
LCM(696,510,904) = 320883840 / 48
LCM(696,510,904) = 6685080
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 46/696, 58/510, 164/904?
Answer: GCF of Numerators as per given numbers 46/696, 58/510, 164/904 is
GCF of Numerators i.e. for 46,58,164 is 2
LCM of denominators i.e. for 696,510,904 is 6685080.
Thus, GCF of Fractions is 2/6685080.Finally, GCF of Fractions for 46/696, 58/510, 164/904 is 2/6685080.