Use our free GCF of Fractions Calculator tool to compute the GCF of 3380/912, 5360/176 i.e 20/10032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3380/912, 5360/176.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3380/912,5360/176
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 3380/912,5360/176, numerators are 3380,5360
Denominators are 912,176
The GCF of 3380,5360 is 20 .
LCM of 912,176 is 10032.
The greatest common factor of 3380/912,5360/176 = [GCF of 3380,5360]/[LCM of 912,176]= 20/10032
Therefore, the GCF of 3380/912,5360/176 is 20/10032.
To find the highest common factor of 3380,5360, we have to find the factors of both numbers and list the highest common factor.
The factors of 3380 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380
The factors of 5360 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 67, 80, 134, 268, 335, 536, 670, 1072, 1340, 2680, 5360
The HCF of 3380,5360 is 20.
Lets's calculate GCF of 3380,5360
2 | 3380, 5360 |
2 | 1690, 2680 |
5 | 845, 1340 |
169, 268 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Now, list down the factors of 3380
:1,2,4,5,10,13,20,26,52,65,130,169,260,338,676,845,1690,3380
Now, list down the factors of 5360
:1,2,4,5,8,10,16,20,40,67,80,134,268,335,536,670,1072,1340,2680,5360
Greatest Common Factor
We found the factors 3380,5360 . The biggest common factor number is the GCF number.
So the greatest common factor 3380,5360 is 20.
Lets's calculate LCM of 912,176
2 | 912, 176 |
2 | 456, 88 |
2 | 228, 44 |
2 | 114, 22 |
57, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 57 x 11 = 10032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/10032
Therefore, the GCF of Fractions 3380/912,5360/176 is 20/10032
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 912,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,176) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(912,176) x common factors =16 x 1 = 16
LCM(912,176) = ( 912 × 176 ) / 16
LCM(912,176) = 160512 / 16
LCM(912,176) = 10032
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3380,5360?
The HCF of 3380,5360 is 20
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 3380/912, 5360/176?
Answer: GCF of Numerators as per given numbers 3380/912, 5360/176 is
GCF of Numerators i.e. for 3380,5360 is 20
LCM of denominators i.e. for 912,176 is 10032.
Thus, GCF of Fractions is 20/10032.Finally, GCF of Fractions for 3380/912, 5360/176 is 20/10032.