Use our free GCF of Fractions Calculator tool to compute the GCF of 707/490, 142/326 i.e 1/79870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 707/490, 142/326.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 707/490,142/326
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 707/490,142/326, numerators are 707,142
Denominators are 490,326
The GCF of 707,142 is 1 .
LCM of 490,326 is 79870.
The greatest common factor of 707/490,142/326 = [GCF of 707,142]/[LCM of 490,326]= 1/79870
Therefore, the GCF of 707/490,142/326 is 1/79870.
To find the highest common factor of 707,142, we have to find the factors of both numbers and list the highest common factor.
The factors of 707 are 1, 7, 101, 707
The factors of 142 are 1, 2, 71, 142
The HCF of 707,142 is 1.
Lets's calculate GCF of 707,142
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 707
:1,7,101,707
Now, list down the factors of 142
:1,2,71,142
Greatest Common Factor
We found the factors 707,142 . The biggest common factor number is the GCF number.
So the greatest common factor 707,142 is 1.
Lets's calculate LCM of 490,326
2 | 490, 326 |
245, 163 |
∴ So the LCM of the given numbers is 2 x 245 x 163 = 79870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79870
Therefore, the GCF of Fractions 707/490,142/326 is 1/79870
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 490,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,326) x common factors =2 x 1 = 2
LCM(490,326) = ( 490 × 326 ) / 2
LCM(490,326) = 159740 / 2
LCM(490,326) = 79870
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 707,142?
The HCF of 707,142 is 1
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 707/490, 142/326?
Answer: GCF of Numerators as per given numbers 707/490, 142/326 is
GCF of Numerators i.e. for 707,142 is 1
LCM of denominators i.e. for 490,326 is 79870.
Thus, GCF of Fractions is 1/79870.Finally, GCF of Fractions for 707/490, 142/326 is 1/79870.