Use our free GCF of Fractions Calculator tool to compute the GCF of 937/769, 936/166 i.e 1/127654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/769, 936/166.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 937/769,936/166
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 937/769,936/166, numerators are 937,936
Denominators are 769,166
The GCF of 937,936 is 1 .
LCM of 769,166 is 127654.
The greatest common factor of 937/769,936/166 = [GCF of 937,936]/[LCM of 769,166]= 1/127654
Therefore, the GCF of 937/769,936/166 is 1/127654.
To find the highest common factor of 937,936, we have to find the factors of both numbers and list the highest common factor.
The factors of 937 are 1, 937
The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
The HCF of 937,936 is 1.
Lets's calculate GCF of 937,936
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 937
:1,937
Now, list down the factors of 936
:1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Greatest Common Factor
We found the factors 937,936 . The biggest common factor number is the GCF number.
So the greatest common factor 937,936 is 1.
Lets's calculate LCM of 769,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 127654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127654
Therefore, the GCF of Fractions 937/769,936/166 is 1/127654
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 769,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,166) x common factors =1 x 1 = 1
LCM(769,166) = ( 769 × 166 ) / 1
LCM(769,166) = 127654 / 1
LCM(769,166) = 127654
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 937,936?
The HCF of 937,936 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 937/769, 936/166?
Answer: GCF of Numerators as per given numbers 937/769, 936/166 is
GCF of Numerators i.e. for 937,936 is 1
LCM of denominators i.e. for 769,166 is 127654.
Thus, GCF of Fractions is 1/127654.Finally, GCF of Fractions for 937/769, 936/166 is 1/127654.