Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 250/293,7808/640
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 250,7808
Greatest Common Factor of Numerators i.e. GCF of 250,7808 is 2 .
LCM of Denominators means LCM of 293,640 as per the given fractions.
LCM of 293,640 is 187520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 250,7808
2 | 250, 7808 |
125, 3904 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 7808
List of positive integer factors of 7808 that divides 7808 without a remainder.
1,2,4,8,16,32,61,64,122,128,244,488,976,1952,3904,7808
Greatest Common Factor
We found the factors 250,7808 . The biggest common factor number is the GCF number.
So the greatest common factor 250,7808 is 2.
Lets's calculate LCM of 293,640
Given numbers has no common factors except 1. So, there LCM is their product i.e 187520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/187520
Therefore, the GCF of Fractions 250/293,7808/640 is 2/187520
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 293,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,640) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,640) x common factors =1 x 1 = 1
LCM(293,640) = ( 293 × 640 ) / 1
LCM(293,640) = 187520 / 1
LCM(293,640) = 187520
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 250/293, 7808/640?
Answer: GCF of Numerators as per given numbers 250/293, 7808/640 is
GCF of Numerators i.e. for 250,7808 is 2
LCM of denominators i.e. for 293,640 is 187520.
Thus, GCF of Fractions is 2/187520.Finally, GCF of Fractions for 250/293, 7808/640 is 2/187520.