GCF of 7703/759, 8155/9780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7703/759, 8155/9780 i.e 1/2474340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7703/759, 8155/9780.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7703/759,8155/9780?
Given fractions are 7703/759,8155/9780
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 7703/759,8155/9780, numerators are 7703,8155
Denominators are 759,9780
The GCF of 7703,8155 is 1 .
LCM of 759,9780 is 2474340.
The greatest common factor of 7703/759,8155/9780 = [GCF of 7703,8155]/[LCM of 759,9780]= 1/2474340
Therefore, the GCF of 7703/759,8155/9780 is 1/2474340.
To find the highest common factor of 7703,8155, we have to find the factors of both numbers and list the highest common factor.
The factors of 7703 are 1, 7703
The factors of 8155 are 1, 5, 7, 35, 233, 1165, 1631, 8155
The HCF of 7703,8155 is 1.
Lets's calculate GCF of 7703,8155
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7703,8155 By Matching Biggest Common Factor Method
Now, list down the factors of 7703
:1,7703
Now, list down the factors of 8155
:1,5,7,35,233,1165,1631,8155
Greatest Common Factor
We found the factors 7703,8155 . The biggest common factor number is the GCF number.
So the greatest common factor 7703,8155 is 1.
Lets's calculate LCM of 759,9780
| 3 | 759, 9780 |
| 253, 3260 |
∴ So the LCM of the given numbers is 3 x 253 x 3260 = 2474340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2474340
Therefore, the GCF of Fractions 7703/759,8155/9780 is 1/2474340
Least Common Multiple of 759,9780 with GCF Formula
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 759,9780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,9780) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(759,9780) x common factors =3 x 1 = 3
LCM(759,9780) = ( 759 × 9780 ) / 3
LCM(759,9780) = 7423020 / 3
LCM(759,9780) = 2474340
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7703/759, 8155/9780
1. What is the HCF of 7703,8155?
The HCF of 7703,8155 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 7703/759, 8155/9780?
Answer: GCF of Numerators as per given numbers 7703/759, 8155/9780 is
GCF of Numerators i.e. for 7703,8155 is 1
LCM of denominators i.e. for 759,9780 is 2474340.
Thus, GCF of Fractions is 1/2474340.Finally, GCF of Fractions for 7703/759, 8155/9780 is 1/2474340.