Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 780/921,5380/876
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 780,5380
Greatest Common Factor of Numerators i.e. GCF of 780,5380 is 20 .
LCM of Denominators means LCM of 921,876 as per the given fractions.
LCM of 921,876 is 268932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 780,5380
2 | 780, 5380 |
2 | 390, 2690 |
5 | 195, 1345 |
39, 269 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 5380
List of positive integer factors of 5380 that divides 5380 without a remainder.
1,2,4,5,10,20,269,538,1076,1345,2690,5380
Greatest Common Factor
We found the factors 780,5380 . The biggest common factor number is the GCF number.
So the greatest common factor 780,5380 is 20.
Lets's calculate LCM of 921,876
3 | 921, 876 |
307, 292 |
∴ So the LCM of the given numbers is 3 x 307 x 292 = 268932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/268932
Therefore, the GCF of Fractions 780/921,5380/876 is 20/268932
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 921,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,876) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,876) x common factors =3 x 1 = 3
LCM(921,876) = ( 921 × 876 ) / 3
LCM(921,876) = 806796 / 3
LCM(921,876) = 268932
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 780/921, 5380/876?
Answer: GCF of Numerators as per given numbers 780/921, 5380/876 is
GCF of Numerators i.e. for 780,5380 is 20
LCM of denominators i.e. for 921,876 is 268932.
Thus, GCF of Fractions is 20/268932.Finally, GCF of Fractions for 780/921, 5380/876 is 20/268932.