Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3088/801,8492/4843
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 3088,8492
Greatest Common Factor of Numerators i.e. GCF of 3088,8492 is 772 .
LCM of Denominators means LCM of 801,4843 as per the given fractions.
LCM of 801,4843 is 3879243 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3088,8492
2 | 3088, 8492 |
2 | 1544, 4246 |
193 | 772, 2123 |
4, 11 |
∴ So the GCF of the given numbers is 2 x 2 x 193 = 772
Factors of 3088
List of positive integer factors of 3088 that divides 3088 without a remainder.
1,2,4,8,16,193,386,772,1544,3088
Factors of 8492
List of positive integer factors of 8492 that divides 8492 without a remainder.
1,2,4,11,22,44,193,386,772,2123,4246,8492
Greatest Common Factor
We found the factors 3088,8492 . The biggest common factor number is the GCF number.
So the greatest common factor 3088,8492 is 772.
Lets's calculate LCM of 801,4843
Given numbers has no common factors except 1. So, there LCM is their product i.e 3879243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 772/3879243
Therefore, the GCF of Fractions 3088/801,8492/4843 is 772/3879243
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 801,4843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,4843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(801,4843) x common factors =1 x 1 = 1
LCM(801,4843) = ( 801 × 4843 ) / 1
LCM(801,4843) = 3879243 / 1
LCM(801,4843) = 3879243
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 3088/801, 8492/4843?
Answer: GCF of Numerators as per given numbers 3088/801, 8492/4843 is
GCF of Numerators i.e. for 3088,8492 is 772
LCM of denominators i.e. for 801,4843 is 3879243.
Thus, GCF of Fractions is 772/3879243.Finally, GCF of Fractions for 3088/801, 8492/4843 is 772/3879243.