Use our free GCF of Fractions Calculator tool to compute the GCF of 934/693, 1432/1910 i.e 2/1323630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 934/693, 1432/1910.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 934/693,1432/1910
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 934/693,1432/1910, numerators are 934,1432
Denominators are 693,1910
The GCF of 934,1432 is 2 .
LCM of 693,1910 is 1323630.
The greatest common factor of 934/693,1432/1910 = [GCF of 934,1432]/[LCM of 693,1910]= 2/1323630
Therefore, the GCF of 934/693,1432/1910 is 2/1323630.
To find the highest common factor of 934,1432, we have to find the factors of both numbers and list the highest common factor.
The factors of 934 are 1, 2, 467, 934
The factors of 1432 are 1, 2, 4, 8, 179, 358, 716, 1432
The HCF of 934,1432 is 2.
Lets's calculate GCF of 934,1432
2 | 934, 1432 |
467, 716 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 934
:1,2,467,934
Now, list down the factors of 1432
:1,2,4,8,179,358,716,1432
Greatest Common Factor
We found the factors 934,1432 . The biggest common factor number is the GCF number.
So the greatest common factor 934,1432 is 2.
Lets's calculate LCM of 693,1910
Given numbers has no common factors except 1. So, there LCM is their product i.e 1323630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1323630
Therefore, the GCF of Fractions 934/693,1432/1910 is 2/1323630
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 693,1910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,1910) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(693,1910) x common factors =1 x 1 = 1
LCM(693,1910) = ( 693 × 1910 ) / 1
LCM(693,1910) = 1323630 / 1
LCM(693,1910) = 1323630
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 934,1432?
The HCF of 934,1432 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 934/693, 1432/1910?
Answer: GCF of Numerators as per given numbers 934/693, 1432/1910 is
GCF of Numerators i.e. for 934,1432 is 2
LCM of denominators i.e. for 693,1910 is 1323630.
Thus, GCF of Fractions is 2/1323630.Finally, GCF of Fractions for 934/693, 1432/1910 is 2/1323630.