GCF of 9757/842, 6710/8231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9757/842, 6710/8231 i.e 11/6930502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9757/842, 6710/8231.
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 9757/842,6710/8231?
Given fractions are 9757/842,6710/8231
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 9757/842,6710/8231, numerators are 9757,6710
Denominators are 842,8231
The GCF of 9757,6710 is 11 .
LCM of 842,8231 is 6930502.
The greatest common factor of 9757/842,6710/8231 = [GCF of 9757,6710]/[LCM of 842,8231]= 11/6930502
Therefore, the GCF of 9757/842,6710/8231 is 11/6930502.
To find the highest common factor of 9757,6710, 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 6710 are 1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710
The HCF of 9757,6710 is 11.
Lets's calculate GCF of 9757,6710
| 11 | 9757, 6710 |
| 887, 610 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9757,6710 By Matching Biggest Common Factor Method
Now, list down the factors of 9757
:1,11,887,9757
Now, list down the factors of 6710
:1,2,5,10,11,22,55,61,110,122,305,610,671,1342,3355,6710
Greatest Common Factor
We found the factors 9757,6710 . The biggest common factor number is the GCF number.
So the greatest common factor 9757,6710 is 11.
Lets's calculate LCM of 842,8231
Given numbers has no common factors except 1. So, there LCM is their product i.e 6930502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/6930502
Therefore, the GCF of Fractions 9757/842,6710/8231 is 11/6930502
Least Common Multiple of 842,8231 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 842,8231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,8231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(842,8231) x common factors =1 x 1 = 1
LCM(842,8231) = ( 842 × 8231 ) / 1
LCM(842,8231) = 6930502 / 1
LCM(842,8231) = 6930502
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FAQs on GCF of Fractions of 9757/842, 6710/8231
1. What is the HCF of 9757,6710?
The HCF of 9757,6710 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 9757/842, 6710/8231?
Answer: GCF of Numerators as per given numbers 9757/842, 6710/8231 is
GCF of Numerators i.e. for 9757,6710 is 11
LCM of denominators i.e. for 842,8231 is 6930502.
Thus, GCF of Fractions is 11/6930502.Finally, GCF of Fractions for 9757/842, 6710/8231 is 11/6930502.