GCF of 2880/242, 4174/136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2880/242, 4174/136 i.e 2/16456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2880/242, 4174/136.
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 2880/242,4174/136?
Given fractions are 2880/242,4174/136
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 2880/242,4174/136, numerators are 2880,4174
Denominators are 242,136
The GCF of 2880,4174 is 2 .
LCM of 242,136 is 16456.
The greatest common factor of 2880/242,4174/136 = [GCF of 2880,4174]/[LCM of 242,136]= 2/16456
Therefore, the GCF of 2880/242,4174/136 is 2/16456.
To find the highest common factor of 2880,4174, we have to find the factors of both numbers and list the highest common factor.
The factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880
The factors of 4174 are 1, 2, 2087, 4174
The HCF of 2880,4174 is 2.
Lets's calculate GCF of 2880,4174
| 2 | 2880, 4174 |
| 1440, 2087 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2880,4174 By Matching Biggest Common Factor Method
Now, list down the factors of 2880
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,144,160,180,192,240,288,320,360,480,576,720,960,1440,2880
Now, list down the factors of 4174
:1,2,2087,4174
Greatest Common Factor
We found the factors 2880,4174 . The biggest common factor number is the GCF number.
So the greatest common factor 2880,4174 is 2.
Lets's calculate LCM of 242,136
| 2 | 242, 136 |
| 121, 68 |
∴ So the LCM of the given numbers is 2 x 121 x 68 = 16456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16456
Therefore, the GCF of Fractions 2880/242,4174/136 is 2/16456
Least Common Multiple of 242,136 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 242,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,136) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,136) x common factors =2 x 1 = 2
LCM(242,136) = ( 242 × 136 ) / 2
LCM(242,136) = 32912 / 2
LCM(242,136) = 16456
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FAQs on GCF of Fractions of 2880/242, 4174/136
1. What is the HCF of 2880,4174?
The HCF of 2880,4174 is 2
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 2880/242, 4174/136?
Answer: GCF of Numerators as per given numbers 2880/242, 4174/136 is
GCF of Numerators i.e. for 2880,4174 is 2
LCM of denominators i.e. for 242,136 is 16456.
Thus, GCF of Fractions is 2/16456.Finally, GCF of Fractions for 2880/242, 4174/136 is 2/16456.