Use our free GCF of Fractions Calculator tool to compute the GCF of 290/434, 688/777 i.e 2/48174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/434, 688/777.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 290/434,688/777
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 290/434,688/777, numerators are 290,688
Denominators are 434,777
The GCF of 290,688 is 2 .
LCM of 434,777 is 48174.
The greatest common factor of 290/434,688/777 = [GCF of 290,688]/[LCM of 434,777]= 2/48174
Therefore, the GCF of 290/434,688/777 is 2/48174.
To find the highest common factor of 290,688, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 290,688 is 2.
Lets's calculate GCF of 290,688
2 | 290, 688 |
145, 344 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 290,688 . The biggest common factor number is the GCF number.
So the greatest common factor 290,688 is 2.
Lets's calculate LCM of 434,777
7 | 434, 777 |
62, 111 |
∴ So the LCM of the given numbers is 7 x 62 x 111 = 48174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48174
Therefore, the GCF of Fractions 290/434,688/777 is 2/48174
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 434,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,777) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(434,777) x common factors =7 x 1 = 7
LCM(434,777) = ( 434 × 777 ) / 7
LCM(434,777) = 337218 / 7
LCM(434,777) = 48174
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 290,688?
The HCF of 290,688 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 290/434, 688/777?
Answer: GCF of Numerators as per given numbers 290/434, 688/777 is
GCF of Numerators i.e. for 290,688 is 2
LCM of denominators i.e. for 434,777 is 48174.
Thus, GCF of Fractions is 2/48174.Finally, GCF of Fractions for 290/434, 688/777 is 2/48174.