Use our free GCF of Fractions Calculator tool to compute the GCF of 88/739, 92/984, 234/322 i.e 2/117075336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/739, 92/984, 234/322.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/739,92/984,234/322
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 88/739,92/984,234/322, numerators are 88,92,234
Denominators are 739,984,322
The GCF of 88,92,234 is 2 .
LCM of 739,984,322 is 117075336.
The greatest common factor of 88/739,92/984,234/322 = [GCF of 88,92,234]/[LCM of 739,984,322]= 2/117075336
Therefore, the GCF of 88/739,92/984,234/322 is 2/117075336.
To find the highest common factor of 88,92,234, we have to find the factors of both numbers and list the highest common factor.
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
The HCF of 88,92,234 is 2.
Lets's calculate GCF of 88,92,234
2 | 88, 92, 234 |
44, 46, 117 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 234
:1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 88,92,234 . The biggest common factor number is the GCF number.
So the greatest common factor 88,92,234 is 2.
Lets's calculate LCM of 739,984,322
2 | 739, 984, 322 |
739, 492, 161 |
∴ So the LCM of the given numbers is 2 x 739 x 492 x 161 = 117075336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/117075336
Therefore, the GCF of Fractions 88/739,92/984,234/322 is 2/117075336
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 739,984,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,984,322) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(739,984,322) x common factors =1 x 2 = 2
LCM(739,984,322) = ( 739 × 984 × 322 ) / 2
LCM(739,984,322) = 234150672 / 2
LCM(739,984,322) = 117075336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 88,92,234?
The HCF of 88,92,234 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 88/739, 92/984, 234/322?
Answer: GCF of Numerators as per given numbers 88/739, 92/984, 234/322 is
GCF of Numerators i.e. for 88,92,234 is 2
LCM of denominators i.e. for 739,984,322 is 117075336.
Thus, GCF of Fractions is 2/117075336.Finally, GCF of Fractions for 88/739, 92/984, 234/322 is 2/117075336.