Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 169/55,822/76,931/974
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 169,822,931
Greatest Common Factor of Numerators i.e. GCF of 169,822,931 is 1 .
LCM of Denominators means LCM of 55,76,974 as per the given fractions.
LCM of 55,76,974 is 2035660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 169,822,931
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Greatest Common Factor
We found the factors 169,822,931 . The biggest common factor number is the GCF number.
So the greatest common factor 169,822,931 is 1.
Lets's calculate LCM of 55,76,974
2 | 55, 76, 974 |
55, 38, 487 |
∴ So the LCM of the given numbers is 2 x 55 x 38 x 487 = 2035660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2035660
Therefore, the GCF of Fractions 169/55,822/76,931/974 is 1/2035660
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 55,76,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,76,974) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(55,76,974) x common factors =1 x 2 = 2
LCM(55,76,974) = ( 55 × 76 × 974 ) / 2
LCM(55,76,974) = 4071320 / 2
LCM(55,76,974) = 2035660
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 169/55, 822/76, 931/974?
Answer: GCF of Numerators as per given numbers 169/55, 822/76, 931/974 is
GCF of Numerators i.e. for 169,822,931 is 1
LCM of denominators i.e. for 55,76,974 is 2035660.
Thus, GCF of Fractions is 1/2035660.Finally, GCF of Fractions for 169/55, 822/76, 931/974 is 1/2035660.