Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/85,12/60,38/752,160/504
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 4,12,38,160
Greatest Common Factor of Numerators i.e. GCF of 4,12,38,160 is 2 .
LCM of Denominators means LCM of 85,60,752,504 as per the given fractions.
LCM of 85,60,752,504 is 4026960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,12,38,160
2 | 4, 12, 38, 160 |
2, 6, 19, 80 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
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 4,12,38,160 . The biggest common factor number is the GCF number.
So the greatest common factor 4,12,38,160 is 2.
Lets's calculate LCM of 85,60,752,504
2 | 85, 60, 752, 504 |
2 | 85, 30, 376, 252 |
2 | 85, 15, 188, 126 |
3 | 85, 15, 94, 63 |
5 | 85, 5, 94, 21 |
17, 1, 94, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 17 x 1 x 94 x 21 = 4026960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4026960
Therefore, the GCF of Fractions 4/85,12/60,38/752,160/504 is 2/4026960
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 85,60,752,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,60,752,504) = 1
common factors(in case of two or more numbers have common factors) = 480
GCF(85,60,752,504) x common factors =1 x 480 = 480
LCM(85,60,752,504) = ( 85 × 60 × 752 × 504 ) / 480
LCM(85,60,752,504) = 1932940800 / 480
LCM(85,60,752,504) = 4026960
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 4/85, 12/60, 38/752, 160/504?
Answer: GCF of Numerators as per given numbers 4/85, 12/60, 38/752, 160/504 is
GCF of Numerators i.e. for 4,12,38,160 is 2
LCM of denominators i.e. for 85,60,752,504 is 4026960.
Thus, GCF of Fractions is 2/4026960.Finally, GCF of Fractions for 4/85, 12/60, 38/752, 160/504 is 2/4026960.