Use our free GCF of Fractions Calculator tool to compute the GCF of 72/81, 961/48, 641/128 i.e 1/10368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/81, 961/48, 641/128.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/81,961/48,641/128
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 72/81,961/48,641/128, numerators are 72,961,641
Denominators are 81,48,128
The GCF of 72,961,641 is 1 .
LCM of 81,48,128 is 10368.
The greatest common factor of 72/81,961/48,641/128 = [GCF of 72,961,641]/[LCM of 81,48,128]= 1/10368
Therefore, the GCF of 72/81,961/48,641/128 is 1/10368.
To find the highest common factor of 72,961,641, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 961 are 1, 31, 961
The factors of 641 are 1, 641
The HCF of 72,961,641 is 1.
Lets's calculate GCF of 72,961,641
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 961
:1,31,961
Now, list down the factors of 641
:1,641
Greatest Common Factor
We found the factors 72,961,641 . The biggest common factor number is the GCF number.
So the greatest common factor 72,961,641 is 1.
Lets's calculate LCM of 81,48,128
2 | 81, 48, 128 |
2 | 81, 24, 64 |
2 | 81, 12, 32 |
2 | 81, 6, 16 |
3 | 81, 3, 8 |
27, 1, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 27 x 1 x 8 = 10368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10368
Therefore, the GCF of Fractions 72/81,961/48,641/128 is 1/10368
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 81,48,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,48,128) = 1
common factors(in case of two or more numbers have common factors) = 48
GCF(81,48,128) x common factors =1 x 48 = 48
LCM(81,48,128) = ( 81 × 48 × 128 ) / 48
LCM(81,48,128) = 497664 / 48
LCM(81,48,128) = 10368
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 72,961,641?
The HCF of 72,961,641 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 72/81, 961/48, 641/128?
Answer: GCF of Numerators as per given numbers 72/81, 961/48, 641/128 is
GCF of Numerators i.e. for 72,961,641 is 1
LCM of denominators i.e. for 81,48,128 is 10368.
Thus, GCF of Fractions is 1/10368.Finally, GCF of Fractions for 72/81, 961/48, 641/128 is 1/10368.