Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 680/337,7740/598
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 680,7740
Greatest Common Factor of Numerators i.e. GCF of 680,7740 is 20 .
LCM of Denominators means LCM of 337,598 as per the given fractions.
LCM of 337,598 is 201526 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 680,7740
2 | 680, 7740 |
2 | 340, 3870 |
5 | 170, 1935 |
34, 387 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Factors of 7740
List of positive integer factors of 7740 that divides 7740 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,43,45,60,86,90,129,172,180,215,258,387,430,516,645,774,860,1290,1548,1935,2580,3870,7740
Greatest Common Factor
We found the factors 680,7740 . The biggest common factor number is the GCF number.
So the greatest common factor 680,7740 is 20.
Lets's calculate LCM of 337,598
Given numbers has no common factors except 1. So, there LCM is their product i.e 201526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/201526
Therefore, the GCF of Fractions 680/337,7740/598 is 20/201526
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 337,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,598) x common factors =1 x 1 = 1
LCM(337,598) = ( 337 × 598 ) / 1
LCM(337,598) = 201526 / 1
LCM(337,598) = 201526
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 680/337, 7740/598?
Answer: GCF of Numerators as per given numbers 680/337, 7740/598 is
GCF of Numerators i.e. for 680,7740 is 20
LCM of denominators i.e. for 337,598 is 201526.
Thus, GCF of Fractions is 20/201526.Finally, GCF of Fractions for 680/337, 7740/598 is 20/201526.