Use our free GCF of Fractions Calculator tool to compute the GCF of 7750/395, 9326/9635 i.e 2/761165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7750/395, 9326/9635.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7750/395,9326/9635
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 7750/395,9326/9635, numerators are 7750,9326
Denominators are 395,9635
The GCF of 7750,9326 is 2 .
LCM of 395,9635 is 761165.
The greatest common factor of 7750/395,9326/9635 = [GCF of 7750,9326]/[LCM of 395,9635]= 2/761165
Therefore, the GCF of 7750/395,9326/9635 is 2/761165.
To find the highest common factor of 7750,9326, we have to find the factors of both numbers and list the highest common factor.
The factors of 7750 are 1, 2, 5, 10, 25, 31, 50, 62, 125, 155, 250, 310, 775, 1550, 3875, 7750
The factors of 9326 are 1, 2, 4663, 9326
The HCF of 7750,9326 is 2.
Lets's calculate GCF of 7750,9326
2 | 7750, 9326 |
3875, 4663 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 7750
:1,2,5,10,25,31,50,62,125,155,250,310,775,1550,3875,7750
Now, list down the factors of 9326
:1,2,4663,9326
Greatest Common Factor
We found the factors 7750,9326 . The biggest common factor number is the GCF number.
So the greatest common factor 7750,9326 is 2.
Lets's calculate LCM of 395,9635
5 | 395, 9635 |
79, 1927 |
∴ So the LCM of the given numbers is 5 x 79 x 1927 = 761165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/761165
Therefore, the GCF of Fractions 7750/395,9326/9635 is 2/761165
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 395,9635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,9635) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(395,9635) x common factors =5 x 1 = 5
LCM(395,9635) = ( 395 × 9635 ) / 5
LCM(395,9635) = 3805825 / 5
LCM(395,9635) = 761165
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7750,9326?
The HCF of 7750,9326 is 2
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 7750/395, 9326/9635?
Answer: GCF of Numerators as per given numbers 7750/395, 9326/9635 is
GCF of Numerators i.e. for 7750,9326 is 2
LCM of denominators i.e. for 395,9635 is 761165.
Thus, GCF of Fractions is 2/761165.Finally, GCF of Fractions for 7750/395, 9326/9635 is 2/761165.