GCF of 2485/772, 3177/8446
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2485/772, 3177/8446 i.e 1/3260156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2485/772, 3177/8446.
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 2485/772,3177/8446?
Given fractions are 2485/772,3177/8446
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 2485/772,3177/8446, numerators are 2485,3177
Denominators are 772,8446
The GCF of 2485,3177 is 1 .
LCM of 772,8446 is 3260156.
The greatest common factor of 2485/772,3177/8446 = [GCF of 2485,3177]/[LCM of 772,8446]= 1/3260156
Therefore, the GCF of 2485/772,3177/8446 is 1/3260156.
To find the highest common factor of 2485,3177, we have to find the factors of both numbers and list the highest common factor.
The factors of 2485 are 1, 5, 7, 35, 71, 355, 497, 2485
The factors of 3177 are 1, 3, 9, 353, 1059, 3177
The HCF of 2485,3177 is 1.
Lets's calculate GCF of 2485,3177
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2485,3177 By Matching Biggest Common Factor Method
Now, list down the factors of 2485
:1,5,7,35,71,355,497,2485
Now, list down the factors of 3177
:1,3,9,353,1059,3177
Greatest Common Factor
We found the factors 2485,3177 . The biggest common factor number is the GCF number.
So the greatest common factor 2485,3177 is 1.
Lets's calculate LCM of 772,8446
| 2 | 772, 8446 |
| 386, 4223 |
∴ So the LCM of the given numbers is 2 x 386 x 4223 = 3260156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3260156
Therefore, the GCF of Fractions 2485/772,3177/8446 is 1/3260156
Least Common Multiple of 772,8446 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 772,8446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,8446) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(772,8446) x common factors =2 x 1 = 2
LCM(772,8446) = ( 772 × 8446 ) / 2
LCM(772,8446) = 6520312 / 2
LCM(772,8446) = 3260156
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FAQs on GCF of Fractions of 2485/772, 3177/8446
1. What is the HCF of 2485,3177?
The HCF of 2485,3177 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 2485/772, 3177/8446?
Answer: GCF of Numerators as per given numbers 2485/772, 3177/8446 is
GCF of Numerators i.e. for 2485,3177 is 1
LCM of denominators i.e. for 772,8446 is 3260156.
Thus, GCF of Fractions is 1/3260156.Finally, GCF of Fractions for 2485/772, 3177/8446 is 1/3260156.