Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7906/676,2300/1562
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 7906,2300
Greatest Common Factor of Numerators i.e. GCF of 7906,2300 is 2 .
LCM of Denominators means LCM of 676,1562 as per the given fractions.
LCM of 676,1562 is 527956 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7906,2300
2 | 7906, 2300 |
3953, 1150 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7906
List of positive integer factors of 7906 that divides 7906 without a remainder.
1,2,59,67,118,134,3953,7906
Factors of 2300
List of positive integer factors of 2300 that divides 2300 without a remainder.
1,2,4,5,10,20,23,25,46,50,92,100,115,230,460,575,1150,2300
Greatest Common Factor
We found the factors 7906,2300 . The biggest common factor number is the GCF number.
So the greatest common factor 7906,2300 is 2.
Lets's calculate LCM of 676,1562
2 | 676, 1562 |
338, 781 |
∴ So the LCM of the given numbers is 2 x 338 x 781 = 527956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/527956
Therefore, the GCF of Fractions 7906/676,2300/1562 is 2/527956
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 676,1562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,1562) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(676,1562) x common factors =2 x 1 = 2
LCM(676,1562) = ( 676 × 1562 ) / 2
LCM(676,1562) = 1055912 / 2
LCM(676,1562) = 527956
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 7906/676, 2300/1562?
Answer: GCF of Numerators as per given numbers 7906/676, 2300/1562 is
GCF of Numerators i.e. for 7906,2300 is 2
LCM of denominators i.e. for 676,1562 is 527956.
Thus, GCF of Fractions is 2/527956.Finally, GCF of Fractions for 7906/676, 2300/1562 is 2/527956.