Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7258/778,8030/503
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 7258,8030
Greatest Common Factor of Numerators i.e. GCF of 7258,8030 is 2 .
LCM of Denominators means LCM of 778,503 as per the given fractions.
LCM of 778,503 is 391334 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7258,8030
2 | 7258, 8030 |
3629, 4015 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7258
List of positive integer factors of 7258 that divides 7258 without a remainder.
1,2,19,38,191,382,3629,7258
Factors of 8030
List of positive integer factors of 8030 that divides 8030 without a remainder.
1,2,5,10,11,22,55,73,110,146,365,730,803,1606,4015,8030
Greatest Common Factor
We found the factors 7258,8030 . The biggest common factor number is the GCF number.
So the greatest common factor 7258,8030 is 2.
Lets's calculate LCM of 778,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 391334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/391334
Therefore, the GCF of Fractions 7258/778,8030/503 is 2/391334
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 778,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,503) x common factors =1 x 1 = 1
LCM(778,503) = ( 778 × 503 ) / 1
LCM(778,503) = 391334 / 1
LCM(778,503) = 391334
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 7258/778, 8030/503?
Answer: GCF of Numerators as per given numbers 7258/778, 8030/503 is
GCF of Numerators i.e. for 7258,8030 is 2
LCM of denominators i.e. for 778,503 is 391334.
Thus, GCF of Fractions is 2/391334.Finally, GCF of Fractions for 7258/778, 8030/503 is 2/391334.