Use our free GCF of Fractions Calculator tool to compute the GCF of 751/697, 512/612 i.e 1/25092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 751/697, 512/612.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 751/697,512/612
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 751/697,512/612, numerators are 751,512
Denominators are 697,612
The GCF of 751,512 is 1 .
LCM of 697,612 is 25092.
The greatest common factor of 751/697,512/612 = [GCF of 751,512]/[LCM of 697,612]= 1/25092
Therefore, the GCF of 751/697,512/612 is 1/25092.
To find the highest common factor of 751,512, we have to find the factors of both numbers and list the highest common factor.
The factors of 751 are 1, 751
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 751,512 is 1.
Lets's calculate GCF of 751,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 751
:1,751
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 751,512 . The biggest common factor number is the GCF number.
So the greatest common factor 751,512 is 1.
Lets's calculate LCM of 697,612
17 | 697, 612 |
41, 36 |
∴ So the LCM of the given numbers is 17 x 41 x 36 = 25092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25092
Therefore, the GCF of Fractions 751/697,512/612 is 1/25092
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 697,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,612) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(697,612) x common factors =17 x 1 = 17
LCM(697,612) = ( 697 × 612 ) / 17
LCM(697,612) = 426564 / 17
LCM(697,612) = 25092
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 751,512?
The HCF of 751,512 is 1
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 751/697, 512/612?
Answer: GCF of Numerators as per given numbers 751/697, 512/612 is
GCF of Numerators i.e. for 751,512 is 1
LCM of denominators i.e. for 697,612 is 25092.
Thus, GCF of Fractions is 1/25092.Finally, GCF of Fractions for 751/697, 512/612 is 1/25092.