Use our free GCF of Fractions Calculator tool to compute the GCF of 768/290, 802/277 i.e 2/80330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 768/290, 802/277.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 768/290,802/277
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 768/290,802/277, numerators are 768,802
Denominators are 290,277
The GCF of 768,802 is 2 .
LCM of 290,277 is 80330.
The greatest common factor of 768/290,802/277 = [GCF of 768,802]/[LCM of 290,277]= 2/80330
Therefore, the GCF of 768/290,802/277 is 2/80330.
To find the highest common factor of 768,802, we have to find the factors of both numbers and list the highest common factor.
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The factors of 802 are 1, 2, 401, 802
The HCF of 768,802 is 2.
Lets's calculate GCF of 768,802
2 | 768, 802 |
384, 401 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Now, list down the factors of 802
:1,2,401,802
Greatest Common Factor
We found the factors 768,802 . The biggest common factor number is the GCF number.
So the greatest common factor 768,802 is 2.
Lets's calculate LCM of 290,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 80330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80330
Therefore, the GCF of Fractions 768/290,802/277 is 2/80330
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 290,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(290,277) x common factors =1 x 1 = 1
LCM(290,277) = ( 290 × 277 ) / 1
LCM(290,277) = 80330 / 1
LCM(290,277) = 80330
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 768,802?
The HCF of 768,802 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 768/290, 802/277?
Answer: GCF of Numerators as per given numbers 768/290, 802/277 is
GCF of Numerators i.e. for 768,802 is 2
LCM of denominators i.e. for 290,277 is 80330.
Thus, GCF of Fractions is 2/80330.Finally, GCF of Fractions for 768/290, 802/277 is 2/80330.