Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/538,140/624
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 64,140
Greatest Common Factor of Numerators i.e. GCF of 64,140 is 4 .
LCM of Denominators means LCM of 538,624 as per the given fractions.
LCM of 538,624 is 167856 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 64,140
2 | 64, 140 |
2 | 32, 70 |
16, 35 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 64,140 . The biggest common factor number is the GCF number.
So the greatest common factor 64,140 is 4.
Lets's calculate LCM of 538,624
2 | 538, 624 |
269, 312 |
∴ So the LCM of the given numbers is 2 x 269 x 312 = 167856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/167856
Therefore, the GCF of Fractions 64/538,140/624 is 4/167856
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 538,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,624) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,624) x common factors =2 x 1 = 2
LCM(538,624) = ( 538 × 624 ) / 2
LCM(538,624) = 335712 / 2
LCM(538,624) = 167856
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 64/538, 140/624?
Answer: GCF of Numerators as per given numbers 64/538, 140/624 is
GCF of Numerators i.e. for 64,140 is 4
LCM of denominators i.e. for 538,624 is 167856.
Thus, GCF of Fractions is 4/167856.Finally, GCF of Fractions for 64/538, 140/624 is 4/167856.