Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8680/978,7804/782
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 8680,7804
Greatest Common Factor of Numerators i.e. GCF of 8680,7804 is 4 .
LCM of Denominators means LCM of 978,782 as per the given fractions.
LCM of 978,782 is 382398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8680,7804
2 | 8680, 7804 |
2 | 4340, 3902 |
2170, 1951 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8680
List of positive integer factors of 8680 that divides 8680 without a remainder.
1,2,4,5,7,8,10,14,20,28,31,35,40,56,62,70,124,140,155,217,248,280,310,434,620,868,1085,1240,1736,2170,4340,8680
Factors of 7804
List of positive integer factors of 7804 that divides 7804 without a remainder.
1,2,4,1951,3902,7804
Greatest Common Factor
We found the factors 8680,7804 . The biggest common factor number is the GCF number.
So the greatest common factor 8680,7804 is 4.
Lets's calculate LCM of 978,782
2 | 978, 782 |
489, 391 |
∴ So the LCM of the given numbers is 2 x 489 x 391 = 382398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/382398
Therefore, the GCF of Fractions 8680/978,7804/782 is 4/382398
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 978,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,782) x common factors =2 x 1 = 2
LCM(978,782) = ( 978 × 782 ) / 2
LCM(978,782) = 764796 / 2
LCM(978,782) = 382398
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 8680/978, 7804/782?
Answer: GCF of Numerators as per given numbers 8680/978, 7804/782 is
GCF of Numerators i.e. for 8680,7804 is 4
LCM of denominators i.e. for 978,782 is 382398.
Thus, GCF of Fractions is 4/382398.Finally, GCF of Fractions for 8680/978, 7804/782 is 4/382398.