Use our free GCF of Fractions Calculator tool to compute the GCF of 152/991, 783/654 i.e 1/648114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 152/991, 783/654.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 152/991,783/654
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 152/991,783/654, numerators are 152,783
Denominators are 991,654
The GCF of 152,783 is 1 .
LCM of 991,654 is 648114.
The greatest common factor of 152/991,783/654 = [GCF of 152,783]/[LCM of 991,654]= 1/648114
Therefore, the GCF of 152/991,783/654 is 1/648114.
To find the highest common factor of 152,783, we have to find the factors of both numbers and list the highest common factor.
The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152
The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783
The HCF of 152,783 is 1.
Lets's calculate GCF of 152,783
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 152
:1,2,4,8,19,38,76,152
Now, list down the factors of 783
:1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 152,783 . The biggest common factor number is the GCF number.
So the greatest common factor 152,783 is 1.
Lets's calculate LCM of 991,654
Given numbers has no common factors except 1. So, there LCM is their product i.e 648114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/648114
Therefore, the GCF of Fractions 152/991,783/654 is 1/648114
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 991,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,654) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,654) x common factors =1 x 1 = 1
LCM(991,654) = ( 991 × 654 ) / 1
LCM(991,654) = 648114 / 1
LCM(991,654) = 648114
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 152,783?
The HCF of 152,783 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 152/991, 783/654?
Answer: GCF of Numerators as per given numbers 152/991, 783/654 is
GCF of Numerators i.e. for 152,783 is 1
LCM of denominators i.e. for 991,654 is 648114.
Thus, GCF of Fractions is 1/648114.Finally, GCF of Fractions for 152/991, 783/654 is 1/648114.