Use our free GCF of Fractions Calculator tool to compute the GCF of 94/688, 48/523, 758/515 i.e 2/185309360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/688, 48/523, 758/515.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/688,48/523,758/515
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 94/688,48/523,758/515, numerators are 94,48,758
Denominators are 688,523,515
The GCF of 94,48,758 is 2 .
LCM of 688,523,515 is 185309360.
The greatest common factor of 94/688,48/523,758/515 = [GCF of 94,48,758]/[LCM of 688,523,515]= 2/185309360
Therefore, the GCF of 94/688,48/523,758/515 is 2/185309360.
To find the highest common factor of 94,48,758, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 758 are 1, 2, 379, 758
The HCF of 94,48,758 is 2.
Lets's calculate GCF of 94,48,758
2 | 94, 48, 758 |
47, 24, 379 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 758
:1,2,379,758
Greatest Common Factor
We found the factors 94,48,758 . The biggest common factor number is the GCF number.
So the greatest common factor 94,48,758 is 2.
Lets's calculate LCM of 688,523,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 185309360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/185309360
Therefore, the GCF of Fractions 94/688,48/523,758/515 is 2/185309360
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 688,523,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,523,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,523,515) x common factors =1 x 1 = 1
LCM(688,523,515) = ( 688 × 523 × 515 ) / 1
LCM(688,523,515) = 185309360 / 1
LCM(688,523,515) = 185309360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,48,758?
The HCF of 94,48,758 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 94/688, 48/523, 758/515?
Answer: GCF of Numerators as per given numbers 94/688, 48/523, 758/515 is
GCF of Numerators i.e. for 94,48,758 is 2
LCM of denominators i.e. for 688,523,515 is 185309360.
Thus, GCF of Fractions is 2/185309360.Finally, GCF of Fractions for 94/688, 48/523, 758/515 is 2/185309360.