Use our free GCF of Fractions Calculator tool to compute the GCF of 94/490, 34/140, 880/514 i.e 2/251860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/490, 34/140, 880/514.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/490,34/140,880/514
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 94/490,34/140,880/514, numerators are 94,34,880
Denominators are 490,140,514
The GCF of 94,34,880 is 2 .
LCM of 490,140,514 is 251860.
The greatest common factor of 94/490,34/140,880/514 = [GCF of 94,34,880]/[LCM of 490,140,514]= 2/251860
Therefore, the GCF of 94/490,34/140,880/514 is 2/251860.
To find the highest common factor of 94,34,880, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 34 are 1, 2, 17, 34
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 94,34,880 is 2.
Lets's calculate GCF of 94,34,880
2 | 94, 34, 880 |
47, 17, 440 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 94,34,880 . The biggest common factor number is the GCF number.
So the greatest common factor 94,34,880 is 2.
Lets's calculate LCM of 490,140,514
2 | 490, 140, 514 |
5 | 245, 70, 257 |
7 | 49, 14, 257 |
7, 2, 257 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 7 x 2 x 257 = 251860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/251860
Therefore, the GCF of Fractions 94/490,34/140,880/514 is 2/251860
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 490,140,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,140,514) = 2
common factors(in case of two or more numbers have common factors) = 70
GCF(490,140,514) x common factors =2 x 70 = 140
LCM(490,140,514) = ( 490 × 140 × 514 ) / 140
LCM(490,140,514) = 35260400 / 140
LCM(490,140,514) = 251860
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,34,880?
The HCF of 94,34,880 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 94/490, 34/140, 880/514?
Answer: GCF of Numerators as per given numbers 94/490, 34/140, 880/514 is
GCF of Numerators i.e. for 94,34,880 is 2
LCM of denominators i.e. for 490,140,514 is 251860.
Thus, GCF of Fractions is 2/251860.Finally, GCF of Fractions for 94/490, 34/140, 880/514 is 2/251860.