Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/45,98/74,71/98,841/16
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 49,98,71,841
Greatest Common Factor of Numerators i.e. GCF of 49,98,71,841 is 1 .
LCM of Denominators means LCM of 45,74,98,16 as per the given fractions.
LCM of 45,74,98,16 is 1305360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,98,71,841
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Greatest Common Factor
We found the factors 49,98,71,841 . The biggest common factor number is the GCF number.
So the greatest common factor 49,98,71,841 is 1.
Lets's calculate LCM of 45,74,98,16
2 | 45, 74, 98, 16 |
45, 37, 49, 8 |
∴ So the LCM of the given numbers is 2 x 45 x 37 x 49 x 8 = 1305360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1305360
Therefore, the GCF of Fractions 49/45,98/74,71/98,841/16 is 1/1305360
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 45,74,98,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,74,98,16) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(45,74,98,16) x common factors =1 x 4 = 4
LCM(45,74,98,16) = ( 45 × 74 × 98 × 16 ) / 4
LCM(45,74,98,16) = 5221440 / 4
LCM(45,74,98,16) = 1305360
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 49/45, 98/74, 71/98, 841/16?
Answer: GCF of Numerators as per given numbers 49/45, 98/74, 71/98, 841/16 is
GCF of Numerators i.e. for 49,98,71,841 is 1
LCM of denominators i.e. for 45,74,98,16 is 1305360.
Thus, GCF of Fractions is 1/1305360.Finally, GCF of Fractions for 49/45, 98/74, 71/98, 841/16 is 1/1305360.