Use our free GCF of Fractions Calculator tool to compute the GCF of 702/578, 991/137 i.e 1/79186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 702/578, 991/137.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 702/578,991/137
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 702/578,991/137, numerators are 702,991
Denominators are 578,137
The GCF of 702,991 is 1 .
LCM of 578,137 is 79186.
The greatest common factor of 702/578,991/137 = [GCF of 702,991]/[LCM of 578,137]= 1/79186
Therefore, the GCF of 702/578,991/137 is 1/79186.
To find the highest common factor of 702,991, we have to find the factors of both numbers and list the highest common factor.
The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
The factors of 991 are 1, 991
The HCF of 702,991 is 1.
Lets's calculate GCF of 702,991
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 702
:1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Now, list down the factors of 991
:1,991
Greatest Common Factor
We found the factors 702,991 . The biggest common factor number is the GCF number.
So the greatest common factor 702,991 is 1.
Lets's calculate LCM of 578,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 79186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79186
Therefore, the GCF of Fractions 702/578,991/137 is 1/79186
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 578,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(578,137) x common factors =1 x 1 = 1
LCM(578,137) = ( 578 × 137 ) / 1
LCM(578,137) = 79186 / 1
LCM(578,137) = 79186
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 702,991?
The HCF of 702,991 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 702/578, 991/137?
Answer: GCF of Numerators as per given numbers 702/578, 991/137 is
GCF of Numerators i.e. for 702,991 is 1
LCM of denominators i.e. for 578,137 is 79186.
Thus, GCF of Fractions is 1/79186.Finally, GCF of Fractions for 702/578, 991/137 is 1/79186.