Use our free GCF of Fractions Calculator tool to compute the GCF of 3571/789, 9648/7656 i.e 1/2013528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3571/789, 9648/7656.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3571/789,9648/7656
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 3571/789,9648/7656, numerators are 3571,9648
Denominators are 789,7656
The GCF of 3571,9648 is 1 .
LCM of 789,7656 is 2013528.
The greatest common factor of 3571/789,9648/7656 = [GCF of 3571,9648]/[LCM of 789,7656]= 1/2013528
Therefore, the GCF of 3571/789,9648/7656 is 1/2013528.
To find the highest common factor of 3571,9648, we have to find the factors of both numbers and list the highest common factor.
The factors of 3571 are 1, 3571
The factors of 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648
The HCF of 3571,9648 is 1.
Lets's calculate GCF of 3571,9648
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3571
:1,3571
Now, list down the factors of 9648
:1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648
Greatest Common Factor
We found the factors 3571,9648 . The biggest common factor number is the GCF number.
So the greatest common factor 3571,9648 is 1.
Lets's calculate LCM of 789,7656
3 | 789, 7656 |
263, 2552 |
∴ So the LCM of the given numbers is 3 x 263 x 2552 = 2013528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2013528
Therefore, the GCF of Fractions 3571/789,9648/7656 is 1/2013528
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 789,7656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,7656) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(789,7656) x common factors =3 x 1 = 3
LCM(789,7656) = ( 789 × 7656 ) / 3
LCM(789,7656) = 6040584 / 3
LCM(789,7656) = 2013528
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3571,9648?
The HCF of 3571,9648 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 3571/789, 9648/7656?
Answer: GCF of Numerators as per given numbers 3571/789, 9648/7656 is
GCF of Numerators i.e. for 3571,9648 is 1
LCM of denominators i.e. for 789,7656 is 2013528.
Thus, GCF of Fractions is 1/2013528.Finally, GCF of Fractions for 3571/789, 9648/7656 is 1/2013528.