Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1043/488,2802/5574
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 1043,2802
Greatest Common Factor of Numerators i.e. GCF of 1043,2802 is 1 .
LCM of Denominators means LCM of 488,5574 as per the given fractions.
LCM of 488,5574 is 1360056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1043,2802
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1043
List of positive integer factors of 1043 that divides 1043 without a remainder.
1,7,149,1043
Factors of 2802
List of positive integer factors of 2802 that divides 2802 without a remainder.
1,2,3,6,467,934,1401,2802
Greatest Common Factor
We found the factors 1043,2802 . The biggest common factor number is the GCF number.
So the greatest common factor 1043,2802 is 1.
Lets's calculate LCM of 488,5574
2 | 488, 5574 |
244, 2787 |
∴ So the LCM of the given numbers is 2 x 244 x 2787 = 1360056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1360056
Therefore, the GCF of Fractions 1043/488,2802/5574 is 1/1360056
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 488,5574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,5574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(488,5574) x common factors =2 x 1 = 2
LCM(488,5574) = ( 488 × 5574 ) / 2
LCM(488,5574) = 2720112 / 2
LCM(488,5574) = 1360056
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 1043/488, 2802/5574?
Answer: GCF of Numerators as per given numbers 1043/488, 2802/5574 is
GCF of Numerators i.e. for 1043,2802 is 1
LCM of denominators i.e. for 488,5574 is 1360056.
Thus, GCF of Fractions is 1/1360056.Finally, GCF of Fractions for 1043/488, 2802/5574 is 1/1360056.