Use our free GCF of Fractions Calculator tool to compute the GCF of 94/688, 68/9758 i.e 2/3356752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/688, 68/9758.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/688,68/9758
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 94/688,68/9758, numerators are 94,68
Denominators are 688,9758
The GCF of 94,68 is 2 .
LCM of 688,9758 is 3356752.
The greatest common factor of 94/688,68/9758 = [GCF of 94,68]/[LCM of 688,9758]= 2/3356752
Therefore, the GCF of 94/688,68/9758 is 2/3356752.
To find the highest common factor of 94,68, 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 68 are 1, 2, 4, 17, 34, 68
The HCF of 94,68 is 2.
Lets's calculate GCF of 94,68
2 | 94, 68 |
47, 34 |
∴ 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 68
:1,2,4,17,34,68
Greatest Common Factor
We found the factors 94,68 . The biggest common factor number is the GCF number.
So the greatest common factor 94,68 is 2.
Lets's calculate LCM of 688,9758
2 | 688, 9758 |
344, 4879 |
∴ So the LCM of the given numbers is 2 x 344 x 4879 = 3356752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3356752
Therefore, the GCF of Fractions 94/688,68/9758 is 2/3356752
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 688,9758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,9758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(688,9758) x common factors =2 x 1 = 2
LCM(688,9758) = ( 688 × 9758 ) / 2
LCM(688,9758) = 6713504 / 2
LCM(688,9758) = 3356752
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,68?
The HCF of 94,68 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, 68/9758?
Answer: GCF of Numerators as per given numbers 94/688, 68/9758 is
GCF of Numerators i.e. for 94,68 is 2
LCM of denominators i.e. for 688,9758 is 3356752.
Thus, GCF of Fractions is 2/3356752.Finally, GCF of Fractions for 94/688, 68/9758 is 2/3356752.