Use our free GCF of Fractions Calculator tool to compute the GCF of 244/129, 688/818 i.e 4/105522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 244/129, 688/818.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 244/129,688/818
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 244/129,688/818, numerators are 244,688
Denominators are 129,818
The GCF of 244,688 is 4 .
LCM of 129,818 is 105522.
The greatest common factor of 244/129,688/818 = [GCF of 244,688]/[LCM of 129,818]= 4/105522
Therefore, the GCF of 244/129,688/818 is 4/105522.
To find the highest common factor of 244,688, we have to find the factors of both numbers and list the highest common factor.
The factors of 244 are 1, 2, 4, 61, 122, 244
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 244,688 is 4.
Lets's calculate GCF of 244,688
2 | 244, 688 |
2 | 122, 344 |
61, 172 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 244
:1,2,4,61,122,244
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 244,688 . The biggest common factor number is the GCF number.
So the greatest common factor 244,688 is 4.
Lets's calculate LCM of 129,818
Given numbers has no common factors except 1. So, there LCM is their product i.e 105522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/105522
Therefore, the GCF of Fractions 244/129,688/818 is 4/105522
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 129,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,818) x common factors =1 x 1 = 1
LCM(129,818) = ( 129 × 818 ) / 1
LCM(129,818) = 105522 / 1
LCM(129,818) = 105522
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 244,688?
The HCF of 244,688 is 4
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 244/129, 688/818?
Answer: GCF of Numerators as per given numbers 244/129, 688/818 is
GCF of Numerators i.e. for 244,688 is 4
LCM of denominators i.e. for 129,818 is 105522.
Thus, GCF of Fractions is 4/105522.Finally, GCF of Fractions for 244/129, 688/818 is 4/105522.