GCF of 9316/688, 9281/1854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9316/688, 9281/1854 i.e 1/637776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9316/688, 9281/1854.
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 9316/688,9281/1854?
Given fractions are 9316/688,9281/1854
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 9316/688,9281/1854, numerators are 9316,9281
Denominators are 688,1854
The GCF of 9316,9281 is 1 .
LCM of 688,1854 is 637776.
The greatest common factor of 9316/688,9281/1854 = [GCF of 9316,9281]/[LCM of 688,1854]= 1/637776
Therefore, the GCF of 9316/688,9281/1854 is 1/637776.
To find the highest common factor of 9316,9281, we have to find the factors of both numbers and list the highest common factor.
The factors of 9316 are 1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658, 9316
The factors of 9281 are 1, 9281
The HCF of 9316,9281 is 1.
Lets's calculate GCF of 9316,9281
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9316,9281 By Matching Biggest Common Factor Method
Now, list down the factors of 9316
:1,2,4,17,34,68,137,274,548,2329,4658,9316
Now, list down the factors of 9281
:1,9281
Greatest Common Factor
We found the factors 9316,9281 . The biggest common factor number is the GCF number.
So the greatest common factor 9316,9281 is 1.
Lets's calculate LCM of 688,1854
| 2 | 688, 1854 |
| 344, 927 |
∴ So the LCM of the given numbers is 2 x 344 x 927 = 637776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/637776
Therefore, the GCF of Fractions 9316/688,9281/1854 is 1/637776
Least Common Multiple of 688,1854 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 688,1854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,1854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(688,1854) x common factors =2 x 1 = 2
LCM(688,1854) = ( 688 × 1854 ) / 2
LCM(688,1854) = 1275552 / 2
LCM(688,1854) = 637776
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FAQs on GCF of Fractions of 9316/688, 9281/1854
1. What is the HCF of 9316,9281?
The HCF of 9316,9281 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 9316/688, 9281/1854?
Answer: GCF of Numerators as per given numbers 9316/688, 9281/1854 is
GCF of Numerators i.e. for 9316,9281 is 1
LCM of denominators i.e. for 688,1854 is 637776.
Thus, GCF of Fractions is 1/637776.Finally, GCF of Fractions for 9316/688, 9281/1854 is 1/637776.