Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 478/56,780/82,320/544
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 478,780,320
Greatest Common Factor of Numerators i.e. GCF of 478,780,320 is 2 .
LCM of Denominators means LCM of 56,82,544 as per the given fractions.
LCM of 56,82,544 is 156128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 478,780,320
2 | 478, 780, 320 |
239, 390, 160 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 478,780,320 . The biggest common factor number is the GCF number.
So the greatest common factor 478,780,320 is 2.
Lets's calculate LCM of 56,82,544
2 | 56, 82, 544 |
2 | 28, 41, 272 |
2 | 14, 41, 136 |
7, 41, 68 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 41 x 68 = 156128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/156128
Therefore, the GCF of Fractions 478/56,780/82,320/544 is 2/156128
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 56,82,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,82,544) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(56,82,544) x common factors =2 x 8 = 16
LCM(56,82,544) = ( 56 × 82 × 544 ) / 16
LCM(56,82,544) = 2498048 / 16
LCM(56,82,544) = 156128
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 478/56, 780/82, 320/544?
Answer: GCF of Numerators as per given numbers 478/56, 780/82, 320/544 is
GCF of Numerators i.e. for 478,780,320 is 2
LCM of denominators i.e. for 56,82,544 is 156128.
Thus, GCF of Fractions is 2/156128.Finally, GCF of Fractions for 478/56, 780/82, 320/544 is 2/156128.