GCF of 2295/271, 7428/8416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2295/271, 7428/8416 i.e 3/2280736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2295/271, 7428/8416.
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 2295/271,7428/8416?
Given fractions are 2295/271,7428/8416
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 2295/271,7428/8416, numerators are 2295,7428
Denominators are 271,8416
The GCF of 2295,7428 is 3 .
LCM of 271,8416 is 2280736.
The greatest common factor of 2295/271,7428/8416 = [GCF of 2295,7428]/[LCM of 271,8416]= 3/2280736
Therefore, the GCF of 2295/271,7428/8416 is 3/2280736.
To find the highest common factor of 2295,7428, we have to find the factors of both numbers and list the highest common factor.
The factors of 2295 are 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765, 2295
The factors of 7428 are 1, 2, 3, 4, 6, 12, 619, 1238, 1857, 2476, 3714, 7428
The HCF of 2295,7428 is 3.
Lets's calculate GCF of 2295,7428
| 3 | 2295, 7428 |
| 765, 2476 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2295,7428 By Matching Biggest Common Factor Method
Now, list down the factors of 2295
:1,3,5,9,15,17,27,45,51,85,135,153,255,459,765,2295
Now, list down the factors of 7428
:1,2,3,4,6,12,619,1238,1857,2476,3714,7428
Greatest Common Factor
We found the factors 2295,7428 . The biggest common factor number is the GCF number.
So the greatest common factor 2295,7428 is 3.
Lets's calculate LCM of 271,8416
Given numbers has no common factors except 1. So, there LCM is their product i.e 2280736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2280736
Therefore, the GCF of Fractions 2295/271,7428/8416 is 3/2280736
Least Common Multiple of 271,8416 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 271,8416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,8416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,8416) x common factors =1 x 1 = 1
LCM(271,8416) = ( 271 × 8416 ) / 1
LCM(271,8416) = 2280736 / 1
LCM(271,8416) = 2280736
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FAQs on GCF of Fractions of 2295/271, 7428/8416
1. What is the HCF of 2295,7428?
The HCF of 2295,7428 is 3
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 2295/271, 7428/8416?
Answer: GCF of Numerators as per given numbers 2295/271, 7428/8416 is
GCF of Numerators i.e. for 2295,7428 is 3
LCM of denominators i.e. for 271,8416 is 2280736.
Thus, GCF of Fractions is 3/2280736.Finally, GCF of Fractions for 2295/271, 7428/8416 is 3/2280736.