Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 939/698,2154/128
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 939,2154
Greatest Common Factor of Numerators i.e. GCF of 939,2154 is 3 .
LCM of Denominators means LCM of 698,128 as per the given fractions.
LCM of 698,128 is 44672 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 939,2154
3 | 939, 2154 |
313, 718 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 2154
List of positive integer factors of 2154 that divides 2154 without a remainder.
1,2,3,6,359,718,1077,2154
Greatest Common Factor
We found the factors 939,2154 . The biggest common factor number is the GCF number.
So the greatest common factor 939,2154 is 3.
Lets's calculate LCM of 698,128
2 | 698, 128 |
349, 64 |
∴ So the LCM of the given numbers is 2 x 349 x 64 = 44672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/44672
Therefore, the GCF of Fractions 939/698,2154/128 is 3/44672
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 698,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,128) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,128) x common factors =2 x 1 = 2
LCM(698,128) = ( 698 × 128 ) / 2
LCM(698,128) = 89344 / 2
LCM(698,128) = 44672
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 939/698, 2154/128?
Answer: GCF of Numerators as per given numbers 939/698, 2154/128 is
GCF of Numerators i.e. for 939,2154 is 3
LCM of denominators i.e. for 698,128 is 44672.
Thus, GCF of Fractions is 3/44672.Finally, GCF of Fractions for 939/698, 2154/128 is 3/44672.