GCF of 2785/141, 9316/4488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2785/141, 9316/4488 i.e 1/210936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2785/141, 9316/4488.
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 2785/141,9316/4488?
Given fractions are 2785/141,9316/4488
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 2785/141,9316/4488, numerators are 2785,9316
Denominators are 141,4488
The GCF of 2785,9316 is 1 .
LCM of 141,4488 is 210936.
The greatest common factor of 2785/141,9316/4488 = [GCF of 2785,9316]/[LCM of 141,4488]= 1/210936
Therefore, the GCF of 2785/141,9316/4488 is 1/210936.
To find the highest common factor of 2785,9316, we have to find the factors of both numbers and list the highest common factor.
The factors of 2785 are 1, 5, 557, 2785
The factors of 9316 are 1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658, 9316
The HCF of 2785,9316 is 1.
Lets's calculate GCF of 2785,9316
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2785,9316 By Matching Biggest Common Factor Method
Now, list down the factors of 2785
:1,5,557,2785
Now, list down the factors of 9316
:1,2,4,17,34,68,137,274,548,2329,4658,9316
Greatest Common Factor
We found the factors 2785,9316 . The biggest common factor number is the GCF number.
So the greatest common factor 2785,9316 is 1.
Lets's calculate LCM of 141,4488
| 3 | 141, 4488 |
| 47, 1496 |
∴ So the LCM of the given numbers is 3 x 47 x 1496 = 210936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210936
Therefore, the GCF of Fractions 2785/141,9316/4488 is 1/210936
Least Common Multiple of 141,4488 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 141,4488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,4488) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(141,4488) x common factors =3 x 1 = 3
LCM(141,4488) = ( 141 × 4488 ) / 3
LCM(141,4488) = 632808 / 3
LCM(141,4488) = 210936
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FAQs on GCF of Fractions of 2785/141, 9316/4488
1. What is the HCF of 2785,9316?
The HCF of 2785,9316 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 2785/141, 9316/4488?
Answer: GCF of Numerators as per given numbers 2785/141, 9316/4488 is
GCF of Numerators i.e. for 2785,9316 is 1
LCM of denominators i.e. for 141,4488 is 210936.
Thus, GCF of Fractions is 1/210936.Finally, GCF of Fractions for 2785/141, 9316/4488 is 1/210936.