GCF of 9757/692, 6798/2605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9757/692, 6798/2605 i.e 11/1802660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9757/692, 6798/2605.
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 9757/692,6798/2605?
Given fractions are 9757/692,6798/2605
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 9757/692,6798/2605, numerators are 9757,6798
Denominators are 692,2605
The GCF of 9757,6798 is 11 .
LCM of 692,2605 is 1802660.
The greatest common factor of 9757/692,6798/2605 = [GCF of 9757,6798]/[LCM of 692,2605]= 11/1802660
Therefore, the GCF of 9757/692,6798/2605 is 11/1802660.
To find the highest common factor of 9757,6798, we have to find the factors of both numbers and list the highest common factor.
The factors of 9757 are 1, 11, 887, 9757
The factors of 6798 are 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798
The HCF of 9757,6798 is 11.
Lets's calculate GCF of 9757,6798
| 11 | 9757, 6798 |
| 887, 618 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9757,6798 By Matching Biggest Common Factor Method
Now, list down the factors of 9757
:1,11,887,9757
Now, list down the factors of 6798
:1,2,3,6,11,22,33,66,103,206,309,618,1133,2266,3399,6798
Greatest Common Factor
We found the factors 9757,6798 . The biggest common factor number is the GCF number.
So the greatest common factor 9757,6798 is 11.
Lets's calculate LCM of 692,2605
Given numbers has no common factors except 1. So, there LCM is their product i.e 1802660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1802660
Therefore, the GCF of Fractions 9757/692,6798/2605 is 11/1802660
Least Common Multiple of 692,2605 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 692,2605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,2605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,2605) x common factors =1 x 1 = 1
LCM(692,2605) = ( 692 × 2605 ) / 1
LCM(692,2605) = 1802660 / 1
LCM(692,2605) = 1802660
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9757/692, 6798/2605
1. What is the HCF of 9757,6798?
The HCF of 9757,6798 is 11
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 9757/692, 6798/2605?
Answer: GCF of Numerators as per given numbers 9757/692, 6798/2605 is
GCF of Numerators i.e. for 9757,6798 is 11
LCM of denominators i.e. for 692,2605 is 1802660.
Thus, GCF of Fractions is 11/1802660.Finally, GCF of Fractions for 9757/692, 6798/2605 is 11/1802660.