Use our free GCF of Fractions Calculator tool to compute the GCF of 941/914, 838/692 i.e 1/316244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 941/914, 838/692.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 941/914,838/692
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 941/914,838/692, numerators are 941,838
Denominators are 914,692
The GCF of 941,838 is 1 .
LCM of 914,692 is 316244.
The greatest common factor of 941/914,838/692 = [GCF of 941,838]/[LCM of 914,692]= 1/316244
Therefore, the GCF of 941/914,838/692 is 1/316244.
To find the highest common factor of 941,838, we have to find the factors of both numbers and list the highest common factor.
The factors of 941 are 1, 941
The factors of 838 are 1, 2, 419, 838
The HCF of 941,838 is 1.
Lets's calculate GCF of 941,838
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 941
:1,941
Now, list down the factors of 838
:1,2,419,838
Greatest Common Factor
We found the factors 941,838 . The biggest common factor number is the GCF number.
So the greatest common factor 941,838 is 1.
Lets's calculate LCM of 914,692
2 | 914, 692 |
457, 346 |
∴ So the LCM of the given numbers is 2 x 457 x 346 = 316244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316244
Therefore, the GCF of Fractions 941/914,838/692 is 1/316244
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 914,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,692) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,692) x common factors =2 x 1 = 2
LCM(914,692) = ( 914 × 692 ) / 2
LCM(914,692) = 632488 / 2
LCM(914,692) = 316244
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 941,838?
The HCF of 941,838 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 941/914, 838/692?
Answer: GCF of Numerators as per given numbers 941/914, 838/692 is
GCF of Numerators i.e. for 941,838 is 1
LCM of denominators i.e. for 914,692 is 316244.
Thus, GCF of Fractions is 1/316244.Finally, GCF of Fractions for 941/914, 838/692 is 1/316244.