GCF of 2842/876, 3320/5016
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2842/876, 3320/5016 i.e 2/366168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2842/876, 3320/5016.
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 2842/876,3320/5016?
Given fractions are 2842/876,3320/5016
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 2842/876,3320/5016, numerators are 2842,3320
Denominators are 876,5016
The GCF of 2842,3320 is 2 .
LCM of 876,5016 is 366168.
The greatest common factor of 2842/876,3320/5016 = [GCF of 2842,3320]/[LCM of 876,5016]= 2/366168
Therefore, the GCF of 2842/876,3320/5016 is 2/366168.
To find the highest common factor of 2842,3320, we have to find the factors of both numbers and list the highest common factor.
The factors of 2842 are 1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842
The factors of 3320 are 1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320
The HCF of 2842,3320 is 2.
Lets's calculate GCF of 2842,3320
| 2 | 2842, 3320 |
| 1421, 1660 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2842,3320 By Matching Biggest Common Factor Method
Now, list down the factors of 2842
:1,2,7,14,29,49,58,98,203,406,1421,2842
Now, list down the factors of 3320
:1,2,4,5,8,10,20,40,83,166,332,415,664,830,1660,3320
Greatest Common Factor
We found the factors 2842,3320 . The biggest common factor number is the GCF number.
So the greatest common factor 2842,3320 is 2.
Lets's calculate LCM of 876,5016
| 2 | 876, 5016 |
| 2 | 438, 2508 |
| 3 | 219, 1254 |
| 73, 418 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 73 x 418 = 366168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/366168
Therefore, the GCF of Fractions 2842/876,3320/5016 is 2/366168
Least Common Multiple of 876,5016 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 876,5016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,5016) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(876,5016) x common factors =12 x 1 = 12
LCM(876,5016) = ( 876 × 5016 ) / 12
LCM(876,5016) = 4394016 / 12
LCM(876,5016) = 366168
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FAQs on GCF of Fractions of 2842/876, 3320/5016
1. What is the HCF of 2842,3320?
The HCF of 2842,3320 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 2842/876, 3320/5016?
Answer: GCF of Numerators as per given numbers 2842/876, 3320/5016 is
GCF of Numerators i.e. for 2842,3320 is 2
LCM of denominators i.e. for 876,5016 is 366168.
Thus, GCF of Fractions is 2/366168.Finally, GCF of Fractions for 2842/876, 3320/5016 is 2/366168.