Use our free GCF of Fractions Calculator tool to compute the GCF of 7/25, 32/61, 70/768, 895/849 i.e 1/331449600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7/25, 32/61, 70/768, 895/849.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/25,32/61,70/768,895/849
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 7/25,32/61,70/768,895/849, numerators are 7,32,70,895
Denominators are 25,61,768,849
The GCF of 7,32,70,895 is 1 .
LCM of 25,61,768,849 is 331449600.
The greatest common factor of 7/25,32/61,70/768,895/849 = [GCF of 7,32,70,895]/[LCM of 25,61,768,849]= 1/331449600
Therefore, the GCF of 7/25,32/61,70/768,895/849 is 1/331449600.
To find the highest common factor of 7,32,70,895, we have to find the factors of both numbers and list the highest common factor.
The factors of 7 are 1, 7
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 895 are 1, 5, 179, 895
The HCF of 7,32,70,895 is 1.
Lets's calculate GCF of 7,32,70,895
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7
:1,7
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 895
:1,5,179,895
Greatest Common Factor
We found the factors 7,32,70,895 . The biggest common factor number is the GCF number.
So the greatest common factor 7,32,70,895 is 1.
Lets's calculate LCM of 25,61,768,849
3 | 25, 61, 768, 849 |
25, 61, 256, 283 |
∴ So the LCM of the given numbers is 3 x 25 x 61 x 256 x 283 = 331449600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331449600
Therefore, the GCF of Fractions 7/25,32/61,70/768,895/849 is 1/331449600
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 25,61,768,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,61,768,849) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(25,61,768,849) x common factors =1 x 3 = 3
LCM(25,61,768,849) = ( 25 × 61 × 768 × 849 ) / 3
LCM(25,61,768,849) = 994348800 / 3
LCM(25,61,768,849) = 331449600
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7,32,70,895?
The HCF of 7,32,70,895 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 7/25, 32/61, 70/768, 895/849?
Answer: GCF of Numerators as per given numbers 7/25, 32/61, 70/768, 895/849 is
GCF of Numerators i.e. for 7,32,70,895 is 1
LCM of denominators i.e. for 25,61,768,849 is 331449600.
Thus, GCF of Fractions is 1/331449600.Finally, GCF of Fractions for 7/25, 32/61, 70/768, 895/849 is 1/331449600.