Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8738/107,4586/7370
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 8738,4586
Greatest Common Factor of Numerators i.e. GCF of 8738,4586 is 2 .
LCM of Denominators means LCM of 107,7370 as per the given fractions.
LCM of 107,7370 is 788590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8738,4586
2 | 8738, 4586 |
4369, 2293 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8738
List of positive integer factors of 8738 that divides 8738 without a remainder.
1,2,17,34,257,514,4369,8738
Factors of 4586
List of positive integer factors of 4586 that divides 4586 without a remainder.
1,2,2293,4586
Greatest Common Factor
We found the factors 8738,4586 . The biggest common factor number is the GCF number.
So the greatest common factor 8738,4586 is 2.
Lets's calculate LCM of 107,7370
Given numbers has no common factors except 1. So, there LCM is their product i.e 788590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/788590
Therefore, the GCF of Fractions 8738/107,4586/7370 is 2/788590
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 107,7370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,7370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,7370) x common factors =1 x 1 = 1
LCM(107,7370) = ( 107 × 7370 ) / 1
LCM(107,7370) = 788590 / 1
LCM(107,7370) = 788590
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 8738/107, 4586/7370?
Answer: GCF of Numerators as per given numbers 8738/107, 4586/7370 is
GCF of Numerators i.e. for 8738,4586 is 2
LCM of denominators i.e. for 107,7370 is 788590.
Thus, GCF of Fractions is 2/788590.Finally, GCF of Fractions for 8738/107, 4586/7370 is 2/788590.