Use our free GCF of Fractions Calculator tool to compute the GCF of 11/89, 632/35, 807/759 i.e 1/2364285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/89, 632/35, 807/759.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/89,632/35,807/759
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 11/89,632/35,807/759, numerators are 11,632,807
Denominators are 89,35,759
The GCF of 11,632,807 is 1 .
LCM of 89,35,759 is 2364285.
The greatest common factor of 11/89,632/35,807/759 = [GCF of 11,632,807]/[LCM of 89,35,759]= 1/2364285
Therefore, the GCF of 11/89,632/35,807/759 is 1/2364285.
To find the highest common factor of 11,632,807, 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 632 are 1, 2, 4, 8, 79, 158, 316, 632
The factors of 807 are 1, 3, 269, 807
The HCF of 11,632,807 is 1.
Lets's calculate GCF of 11,632,807
∴ 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 632
:1,2,4,8,79,158,316,632
Now, list down the factors of 807
:1,3,269,807
Greatest Common Factor
We found the factors 11,632,807 . The biggest common factor number is the GCF number.
So the greatest common factor 11,632,807 is 1.
Lets's calculate LCM of 89,35,759
Given numbers has no common factors except 1. So, there LCM is their product i.e 2364285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2364285
Therefore, the GCF of Fractions 11/89,632/35,807/759 is 1/2364285
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 89,35,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,35,759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,35,759) x common factors =1 x 1 = 1
LCM(89,35,759) = ( 89 × 35 × 759 ) / 1
LCM(89,35,759) = 2364285 / 1
LCM(89,35,759) = 2364285
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 11,632,807?
The HCF of 11,632,807 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 11/89, 632/35, 807/759?
Answer: GCF of Numerators as per given numbers 11/89, 632/35, 807/759 is
GCF of Numerators i.e. for 11,632,807 is 1
LCM of denominators i.e. for 89,35,759 is 2364285.
Thus, GCF of Fractions is 1/2364285.Finally, GCF of Fractions for 11/89, 632/35, 807/759 is 1/2364285.