Use our free GCF of Fractions Calculator tool to compute the GCF of 6/94, 58/13, 70/223, 754/600 i.e 2/81751800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/94, 58/13, 70/223, 754/600.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/94,58/13,70/223,754/600
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 6/94,58/13,70/223,754/600, numerators are 6,58,70,754
Denominators are 94,13,223,600
The GCF of 6,58,70,754 is 2 .
LCM of 94,13,223,600 is 81751800.
The greatest common factor of 6/94,58/13,70/223,754/600 = [GCF of 6,58,70,754]/[LCM of 94,13,223,600]= 2/81751800
Therefore, the GCF of 6/94,58/13,70/223,754/600 is 2/81751800.
To find the highest common factor of 6,58,70,754, we have to find the factors of both numbers and list the highest common factor.
The factors of 6 are 1, 2, 3, 6
The factors of 58 are 1, 2, 29, 58
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754
The HCF of 6,58,70,754 is 2.
Lets's calculate GCF of 6,58,70,754
2 | 6, 58, 70, 754 |
3, 29, 35, 377 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6
:1,2,3,6
Now, list down the factors of 58
:1,2,29,58
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 754
:1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 6,58,70,754 . The biggest common factor number is the GCF number.
So the greatest common factor 6,58,70,754 is 2.
Lets's calculate LCM of 94,13,223,600
2 | 94, 13, 223, 600 |
47, 13, 223, 300 |
∴ So the LCM of the given numbers is 2 x 47 x 13 x 223 x 300 = 81751800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81751800
Therefore, the GCF of Fractions 6/94,58/13,70/223,754/600 is 2/81751800
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 94,13,223,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,13,223,600) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,13,223,600) x common factors =1 x 2 = 2
LCM(94,13,223,600) = ( 94 × 13 × 223 × 600 ) / 2
LCM(94,13,223,600) = 163503600 / 2
LCM(94,13,223,600) = 81751800
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6,58,70,754?
The HCF of 6,58,70,754 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 6/94, 58/13, 70/223, 754/600?
Answer: GCF of Numerators as per given numbers 6/94, 58/13, 70/223, 754/600 is
GCF of Numerators i.e. for 6,58,70,754 is 2
LCM of denominators i.e. for 94,13,223,600 is 81751800.
Thus, GCF of Fractions is 2/81751800.Finally, GCF of Fractions for 6/94, 58/13, 70/223, 754/600 is 2/81751800.