Use our free GCF of Fractions Calculator tool to compute the GCF of 938/802, 684/961 i.e 2/770722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 938/802, 684/961.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 938/802,684/961
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 938/802,684/961, numerators are 938,684
Denominators are 802,961
The GCF of 938,684 is 2 .
LCM of 802,961 is 770722.
The greatest common factor of 938/802,684/961 = [GCF of 938,684]/[LCM of 802,961]= 2/770722
Therefore, the GCF of 938/802,684/961 is 2/770722.
To find the highest common factor of 938,684, 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 684 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
The HCF of 938,684 is 2.
Lets's calculate GCF of 938,684
2 | 938, 684 |
469, 342 |
∴ 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 684
:1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Greatest Common Factor
We found the factors 938,684 . The biggest common factor number is the GCF number.
So the greatest common factor 938,684 is 2.
Lets's calculate LCM of 802,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 770722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/770722
Therefore, the GCF of Fractions 938/802,684/961 is 2/770722
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 802,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,961) x common factors =1 x 1 = 1
LCM(802,961) = ( 802 × 961 ) / 1
LCM(802,961) = 770722 / 1
LCM(802,961) = 770722
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 938,684?
The HCF of 938,684 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 938/802, 684/961?
Answer: GCF of Numerators as per given numbers 938/802, 684/961 is
GCF of Numerators i.e. for 938,684 is 2
LCM of denominators i.e. for 802,961 is 770722.
Thus, GCF of Fractions is 2/770722.Finally, GCF of Fractions for 938/802, 684/961 is 2/770722.