Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 988/808,2156/109
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 988,2156
Greatest Common Factor of Numerators i.e. GCF of 988,2156 is 4 .
LCM of Denominators means LCM of 808,109 as per the given fractions.
LCM of 808,109 is 88072 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 988,2156
2 | 988, 2156 |
2 | 494, 1078 |
247, 539 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 2156
List of positive integer factors of 2156 that divides 2156 without a remainder.
1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156
Greatest Common Factor
We found the factors 988,2156 . The biggest common factor number is the GCF number.
So the greatest common factor 988,2156 is 4.
Lets's calculate LCM of 808,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 88072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/88072
Therefore, the GCF of Fractions 988/808,2156/109 is 4/88072
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 808,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(808,109) x common factors =1 x 1 = 1
LCM(808,109) = ( 808 × 109 ) / 1
LCM(808,109) = 88072 / 1
LCM(808,109) = 88072
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 988/808, 2156/109?
Answer: GCF of Numerators as per given numbers 988/808, 2156/109 is
GCF of Numerators i.e. for 988,2156 is 4
LCM of denominators i.e. for 808,109 is 88072.
Thus, GCF of Fractions is 4/88072.Finally, GCF of Fractions for 988/808, 2156/109 is 4/88072.