Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7370/514,7712/126
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 7370,7712
Greatest Common Factor of Numerators i.e. GCF of 7370,7712 is 2 .
LCM of Denominators means LCM of 514,126 as per the given fractions.
LCM of 514,126 is 32382 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7370,7712
2 | 7370, 7712 |
3685, 3856 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7370
List of positive integer factors of 7370 that divides 7370 without a remainder.
1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370
Factors of 7712
List of positive integer factors of 7712 that divides 7712 without a remainder.
1,2,4,8,16,32,241,482,964,1928,3856,7712
Greatest Common Factor
We found the factors 7370,7712 . The biggest common factor number is the GCF number.
So the greatest common factor 7370,7712 is 2.
Lets's calculate LCM of 514,126
2 | 514, 126 |
257, 63 |
∴ So the LCM of the given numbers is 2 x 257 x 63 = 32382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32382
Therefore, the GCF of Fractions 7370/514,7712/126 is 2/32382
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 514,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,126) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,126) x common factors =2 x 1 = 2
LCM(514,126) = ( 514 × 126 ) / 2
LCM(514,126) = 64764 / 2
LCM(514,126) = 32382
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 7370/514, 7712/126?
Answer: GCF of Numerators as per given numbers 7370/514, 7712/126 is
GCF of Numerators i.e. for 7370,7712 is 2
LCM of denominators i.e. for 514,126 is 32382.
Thus, GCF of Fractions is 2/32382.Finally, GCF of Fractions for 7370/514, 7712/126 is 2/32382.