GCF of 2545/385, 7986/7485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2545/385, 7986/7485 i.e 1/576345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2545/385, 7986/7485.
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 2545/385,7986/7485?
Given fractions are 2545/385,7986/7485
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 2545/385,7986/7485, numerators are 2545,7986
Denominators are 385,7485
The GCF of 2545,7986 is 1 .
LCM of 385,7485 is 576345.
The greatest common factor of 2545/385,7986/7485 = [GCF of 2545,7986]/[LCM of 385,7485]= 1/576345
Therefore, the GCF of 2545/385,7986/7485 is 1/576345.
To find the highest common factor of 2545,7986, we have to find the factors of both numbers and list the highest common factor.
The factors of 2545 are 1, 5, 509, 2545
The factors of 7986 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993, 7986
The HCF of 2545,7986 is 1.
Lets's calculate GCF of 2545,7986
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2545,7986 By Matching Biggest Common Factor Method
Now, list down the factors of 2545
:1,5,509,2545
Now, list down the factors of 7986
:1,2,3,6,11,22,33,66,121,242,363,726,1331,2662,3993,7986
Greatest Common Factor
We found the factors 2545,7986 . The biggest common factor number is the GCF number.
So the greatest common factor 2545,7986 is 1.
Lets's calculate LCM of 385,7485
| 5 | 385, 7485 |
| 77, 1497 |
∴ So the LCM of the given numbers is 5 x 77 x 1497 = 576345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/576345
Therefore, the GCF of Fractions 2545/385,7986/7485 is 1/576345
Least Common Multiple of 385,7485 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 385,7485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,7485) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(385,7485) x common factors =5 x 1 = 5
LCM(385,7485) = ( 385 × 7485 ) / 5
LCM(385,7485) = 2881725 / 5
LCM(385,7485) = 576345
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FAQs on GCF of Fractions of 2545/385, 7986/7485
1. What is the HCF of 2545,7986?
The HCF of 2545,7986 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 2545/385, 7986/7485?
Answer: GCF of Numerators as per given numbers 2545/385, 7986/7485 is
GCF of Numerators i.e. for 2545,7986 is 1
LCM of denominators i.e. for 385,7485 is 576345.
Thus, GCF of Fractions is 1/576345.Finally, GCF of Fractions for 2545/385, 7986/7485 is 1/576345.