Use our free GCF of Fractions Calculator tool to compute the GCF of 988/189, 688/644 i.e 4/17388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 988/189, 688/644.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 988/189,688/644
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 988/189,688/644, numerators are 988,688
Denominators are 189,644
The GCF of 988,688 is 4 .
LCM of 189,644 is 17388.
The greatest common factor of 988/189,688/644 = [GCF of 988,688]/[LCM of 189,644]= 4/17388
Therefore, the GCF of 988/189,688/644 is 4/17388.
To find the highest common factor of 988,688, we have to find the factors of both numbers and list the highest common factor.
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 988,688 is 4.
Lets's calculate GCF of 988,688
2 | 988, 688 |
2 | 494, 344 |
247, 172 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 988
:1,2,4,13,19,26,38,52,76,247,494,988
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 988,688 . The biggest common factor number is the GCF number.
So the greatest common factor 988,688 is 4.
Lets's calculate LCM of 189,644
7 | 189, 644 |
27, 92 |
∴ So the LCM of the given numbers is 7 x 27 x 92 = 17388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/17388
Therefore, the GCF of Fractions 988/189,688/644 is 4/17388
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 189,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,644) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(189,644) x common factors =7 x 1 = 7
LCM(189,644) = ( 189 × 644 ) / 7
LCM(189,644) = 121716 / 7
LCM(189,644) = 17388
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 988,688?
The HCF of 988,688 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 988/189, 688/644?
Answer: GCF of Numerators as per given numbers 988/189, 688/644 is
GCF of Numerators i.e. for 988,688 is 4
LCM of denominators i.e. for 189,644 is 17388.
Thus, GCF of Fractions is 4/17388.Finally, GCF of Fractions for 988/189, 688/644 is 4/17388.