Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 496/740,1116/7922
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 496,1116
Greatest Common Factor of Numerators i.e. GCF of 496,1116 is 124 .
LCM of Denominators means LCM of 740,7922 as per the given fractions.
LCM of 740,7922 is 2931140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 496,1116
2 | 496, 1116 |
2 | 248, 558 |
31 | 124, 279 |
4, 9 |
∴ So the GCF of the given numbers is 2 x 2 x 31 = 124
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 1116
List of positive integer factors of 1116 that divides 1116 without a remainder.
1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116
Greatest Common Factor
We found the factors 496,1116 . The biggest common factor number is the GCF number.
So the greatest common factor 496,1116 is 124.
Lets's calculate LCM of 740,7922
2 | 740, 7922 |
370, 3961 |
∴ So the LCM of the given numbers is 2 x 370 x 3961 = 2931140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 124/2931140
Therefore, the GCF of Fractions 496/740,1116/7922 is 124/2931140
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 740,7922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,7922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(740,7922) x common factors =2 x 1 = 2
LCM(740,7922) = ( 740 × 7922 ) / 2
LCM(740,7922) = 5862280 / 2
LCM(740,7922) = 2931140
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 496/740, 1116/7922?
Answer: GCF of Numerators as per given numbers 496/740, 1116/7922 is
GCF of Numerators i.e. for 496,1116 is 124
LCM of denominators i.e. for 740,7922 is 2931140.
Thus, GCF of Fractions is 124/2931140.Finally, GCF of Fractions for 496/740, 1116/7922 is 124/2931140.