Use our free GCF of Fractions Calculator tool to compute the GCF of 11/99, 280/30, 526/672 i.e 1/110880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/99, 280/30, 526/672.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/99,280/30,526/672
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 11/99,280/30,526/672, numerators are 11,280,526
Denominators are 99,30,672
The GCF of 11,280,526 is 1 .
LCM of 99,30,672 is 110880.
The greatest common factor of 11/99,280/30,526/672 = [GCF of 11,280,526]/[LCM of 99,30,672]= 1/110880
Therefore, the GCF of 11/99,280/30,526/672 is 1/110880.
To find the highest common factor of 11,280,526, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
The factors of 526 are 1, 2, 263, 526
The HCF of 11,280,526 is 1.
Lets's calculate GCF of 11,280,526
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 11
:1,11
Now, list down the factors of 280
:1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Now, list down the factors of 526
:1,2,263,526
Greatest Common Factor
We found the factors 11,280,526 . The biggest common factor number is the GCF number.
So the greatest common factor 11,280,526 is 1.
Lets's calculate LCM of 99,30,672
2 | 99, 30, 672 |
3 | 99, 15, 336 |
33, 5, 112 |
∴ So the LCM of the given numbers is 2 x 3 x 33 x 5 x 112 = 110880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110880
Therefore, the GCF of Fractions 11/99,280/30,526/672 is 1/110880
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 99,30,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,30,672) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(99,30,672) x common factors =3 x 6 = 18
LCM(99,30,672) = ( 99 × 30 × 672 ) / 18
LCM(99,30,672) = 1995840 / 18
LCM(99,30,672) = 110880
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 11,280,526?
The HCF of 11,280,526 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 11/99, 280/30, 526/672?
Answer: GCF of Numerators as per given numbers 11/99, 280/30, 526/672 is
GCF of Numerators i.e. for 11,280,526 is 1
LCM of denominators i.e. for 99,30,672 is 110880.
Thus, GCF of Fractions is 1/110880.Finally, GCF of Fractions for 11/99, 280/30, 526/672 is 1/110880.