Use our free GCF of Fractions Calculator tool to compute the GCF of 714/495, 244/660 i.e 2/1980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 714/495, 244/660.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 714/495,244/660
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 714/495,244/660, numerators are 714,244
Denominators are 495,660
The GCF of 714,244 is 2 .
LCM of 495,660 is 1980.
The greatest common factor of 714/495,244/660 = [GCF of 714,244]/[LCM of 495,660]= 2/1980
Therefore, the GCF of 714/495,244/660 is 2/1980.
To find the highest common factor of 714,244, we have to find the factors of both numbers and list the highest common factor.
The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
The factors of 244 are 1, 2, 4, 61, 122, 244
The HCF of 714,244 is 2.
Lets's calculate GCF of 714,244
2 | 714, 244 |
357, 122 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 714
:1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Now, list down the factors of 244
:1,2,4,61,122,244
Greatest Common Factor
We found the factors 714,244 . The biggest common factor number is the GCF number.
So the greatest common factor 714,244 is 2.
Lets's calculate LCM of 495,660
3 | 495, 660 |
5 | 165, 220 |
11 | 33, 44 |
3, 4 |
∴ So the LCM of the given numbers is 3 x 5 x 11 x 3 x 4 = 1980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1980
Therefore, the GCF of Fractions 714/495,244/660 is 2/1980
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 495,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,660) = 165
common factors(in case of two or more numbers have common factors) = 1
GCF(495,660) x common factors =165 x 1 = 165
LCM(495,660) = ( 495 × 660 ) / 165
LCM(495,660) = 326700 / 165
LCM(495,660) = 1980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 714,244?
The HCF of 714,244 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 714/495, 244/660?
Answer: GCF of Numerators as per given numbers 714/495, 244/660 is
GCF of Numerators i.e. for 714,244 is 2
LCM of denominators i.e. for 495,660 is 1980.
Thus, GCF of Fractions is 2/1980.Finally, GCF of Fractions for 714/495, 244/660 is 2/1980.