Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 740/63,138/6804
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 740,138
Greatest Common Factor of Numerators i.e. GCF of 740,138 is 2 .
LCM of Denominators means LCM of 63,6804 as per the given fractions.
LCM of 63,6804 is 6804 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 740,138
2 | 740, 138 |
370, 69 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 740,138 . The biggest common factor number is the GCF number.
So the greatest common factor 740,138 is 2.
Lets's calculate LCM of 63,6804
3 | 63, 6804 |
3 | 21, 2268 |
7 | 7, 756 |
1, 108 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 1 x 108 = 6804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6804
Therefore, the GCF of Fractions 740/63,138/6804 is 2/6804
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 63,6804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,6804) = 63
common factors(in case of two or more numbers have common factors) = 1
GCF(63,6804) x common factors =63 x 1 = 63
LCM(63,6804) = ( 63 × 6804 ) / 63
LCM(63,6804) = 428652 / 63
LCM(63,6804) = 6804
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 740/63, 138/6804?
Answer: GCF of Numerators as per given numbers 740/63, 138/6804 is
GCF of Numerators i.e. for 740,138 is 2
LCM of denominators i.e. for 63,6804 is 6804.
Thus, GCF of Fractions is 2/6804.Finally, GCF of Fractions for 740/63, 138/6804 is 2/6804.