GCF of 6/90, 64/59, 44/310, 116/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6/90, 64/59, 44/310, 116/974 i.e 2/80165070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/90, 64/59, 44/310, 116/974.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6/90,64/59,44/310,116/974?
Given fractions are 6/90,64/59,44/310,116/974
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6/90,64/59,44/310,116/974, numerators are 6,64,44,116
Denominators are 90,59,310,974
The GCF of 6,64,44,116 is 2 .
LCM of 90,59,310,974 is 80165070.
The greatest common factor of 6/90,64/59,44/310,116/974 = [GCF of 6,64,44,116]/[LCM of 90,59,310,974]= 2/80165070
Therefore, the GCF of 6/90,64/59,44/310,116/974 is 2/80165070.
To find the highest common factor of 6,64,44,116, we have to find the factors of both numbers and list the highest common factor.
The factors of 6 are 1, 2, 3, 6
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 116 are 1, 2, 4, 29, 58, 116
The HCF of 6,64,44,116 is 2.
Lets's calculate GCF of 6,64,44,116
| 2 | 6, 64, 44, 116 |
| 3, 32, 22, 58 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6,64,44,116 By Matching Biggest Common Factor Method
Now, list down the factors of 6
:1,2,3,6
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 116
:1,2,4,29,58,116
Greatest Common Factor
We found the factors 6,64,44,116 . The biggest common factor number is the GCF number.
So the greatest common factor 6,64,44,116 is 2.
Lets's calculate LCM of 90,59,310,974
| 2 | 90, 59, 310, 974 |
| 5 | 45, 59, 155, 487 |
| 9, 59, 31, 487 |
∴ So the LCM of the given numbers is 2 x 5 x 9 x 59 x 31 x 487 = 80165070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80165070
Therefore, the GCF of Fractions 6/90,64/59,44/310,116/974 is 2/80165070
Least Common Multiple of 90,59,310,974 with GCF Formula
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 90,59,310,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,59,310,974) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(90,59,310,974) x common factors =1 x 20 = 20
LCM(90,59,310,974) = ( 90 × 59 × 310 × 974 ) / 20
LCM(90,59,310,974) = 1603301400 / 20
LCM(90,59,310,974) = 80165070
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6/90, 64/59, 44/310, 116/974
1. What is the HCF of 6,64,44,116?
The HCF of 6,64,44,116 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 6/90, 64/59, 44/310, 116/974?
Answer: GCF of Numerators as per given numbers 6/90, 64/59, 44/310, 116/974 is
GCF of Numerators i.e. for 6,64,44,116 is 2
LCM of denominators i.e. for 90,59,310,974 is 80165070.
Thus, GCF of Fractions is 2/80165070.Finally, GCF of Fractions for 6/90, 64/59, 44/310, 116/974 is 2/80165070.