Use our free GCF of Fractions Calculator tool to compute the GCF of 938/345, 524/707 i.e 2/243915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 938/345, 524/707.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 938/345,524/707
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 938/345,524/707, numerators are 938,524
Denominators are 345,707
The GCF of 938,524 is 2 .
LCM of 345,707 is 243915.
The greatest common factor of 938/345,524/707 = [GCF of 938,524]/[LCM of 345,707]= 2/243915
Therefore, the GCF of 938/345,524/707 is 2/243915.
To find the highest common factor of 938,524, we have to find the factors of both numbers and list the highest common factor.
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The factors of 524 are 1, 2, 4, 131, 262, 524
The HCF of 938,524 is 2.
Lets's calculate GCF of 938,524
2 | 938, 524 |
469, 262 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Now, list down the factors of 524
:1,2,4,131,262,524
Greatest Common Factor
We found the factors 938,524 . The biggest common factor number is the GCF number.
So the greatest common factor 938,524 is 2.
Lets's calculate LCM of 345,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 243915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/243915
Therefore, the GCF of Fractions 938/345,524/707 is 2/243915
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 345,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(345,707) x common factors =1 x 1 = 1
LCM(345,707) = ( 345 × 707 ) / 1
LCM(345,707) = 243915 / 1
LCM(345,707) = 243915
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 938,524?
The HCF of 938,524 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 938/345, 524/707?
Answer: GCF of Numerators as per given numbers 938/345, 524/707 is
GCF of Numerators i.e. for 938,524 is 2
LCM of denominators i.e. for 345,707 is 243915.
Thus, GCF of Fractions is 2/243915.Finally, GCF of Fractions for 938/345, 524/707 is 2/243915.