GCF of 6760/994, 9757/287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6760/994, 9757/287 i.e 1/40754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6760/994, 9757/287.
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 6760/994,9757/287?
Given fractions are 6760/994,9757/287
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 6760/994,9757/287, numerators are 6760,9757
Denominators are 994,287
The GCF of 6760,9757 is 1 .
LCM of 994,287 is 40754.
The greatest common factor of 6760/994,9757/287 = [GCF of 6760,9757]/[LCM of 994,287]= 1/40754
Therefore, the GCF of 6760/994,9757/287 is 1/40754.
To find the highest common factor of 6760,9757, we have to find the factors of both numbers and list the highest common factor.
The factors of 6760 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 169, 260, 338, 520, 676, 845, 1352, 1690, 3380, 6760
The factors of 9757 are 1, 11, 887, 9757
The HCF of 6760,9757 is 1.
Lets's calculate GCF of 6760,9757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6760,9757 By Matching Biggest Common Factor Method
Now, list down the factors of 6760
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,169,260,338,520,676,845,1352,1690,3380,6760
Now, list down the factors of 9757
:1,11,887,9757
Greatest Common Factor
We found the factors 6760,9757 . The biggest common factor number is the GCF number.
So the greatest common factor 6760,9757 is 1.
Lets's calculate LCM of 994,287
| 7 | 994, 287 |
| 142, 41 |
∴ So the LCM of the given numbers is 7 x 142 x 41 = 40754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40754
Therefore, the GCF of Fractions 6760/994,9757/287 is 1/40754
Least Common Multiple of 994,287 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 994,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,287) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(994,287) x common factors =7 x 1 = 7
LCM(994,287) = ( 994 × 287 ) / 7
LCM(994,287) = 285278 / 7
LCM(994,287) = 40754
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FAQs on GCF of Fractions of 6760/994, 9757/287
1. What is the HCF of 6760,9757?
The HCF of 6760,9757 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 6760/994, 9757/287?
Answer: GCF of Numerators as per given numbers 6760/994, 9757/287 is
GCF of Numerators i.e. for 6760,9757 is 1
LCM of denominators i.e. for 994,287 is 40754.
Thus, GCF of Fractions is 1/40754.Finally, GCF of Fractions for 6760/994, 9757/287 is 1/40754.