Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/326,312/850,160/278
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 48,312,160
Greatest Common Factor of Numerators i.e. GCF of 48,312,160 is 8 .
LCM of Denominators means LCM of 326,850,278 as per the given fractions.
LCM of 326,850,278 is 19258450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 48,312,160
2 | 48, 312, 160 |
2 | 24, 156, 80 |
2 | 12, 78, 40 |
6, 39, 20 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 48,312,160 . The biggest common factor number is the GCF number.
So the greatest common factor 48,312,160 is 8.
Lets's calculate LCM of 326,850,278
2 | 326, 850, 278 |
163, 425, 139 |
∴ So the LCM of the given numbers is 2 x 163 x 425 x 139 = 19258450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/19258450
Therefore, the GCF of Fractions 48/326,312/850,160/278 is 8/19258450
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 326,850,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,850,278) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(326,850,278) x common factors =2 x 2 = 4
LCM(326,850,278) = ( 326 × 850 × 278 ) / 4
LCM(326,850,278) = 77033800 / 4
LCM(326,850,278) = 19258450
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 48/326, 312/850, 160/278?
Answer: GCF of Numerators as per given numbers 48/326, 312/850, 160/278 is
GCF of Numerators i.e. for 48,312,160 is 8
LCM of denominators i.e. for 326,850,278 is 19258450.
Thus, GCF of Fractions is 8/19258450.Finally, GCF of Fractions for 48/326, 312/850, 160/278 is 8/19258450.