GCF of 2868/535, 8402/313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2868/535, 8402/313 i.e 2/167455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2868/535, 8402/313.
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 2868/535,8402/313?
Given fractions are 2868/535,8402/313
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 2868/535,8402/313, numerators are 2868,8402
Denominators are 535,313
The GCF of 2868,8402 is 2 .
LCM of 535,313 is 167455.
The greatest common factor of 2868/535,8402/313 = [GCF of 2868,8402]/[LCM of 535,313]= 2/167455
Therefore, the GCF of 2868/535,8402/313 is 2/167455.
To find the highest common factor of 2868,8402, we have to find the factors of both numbers and list the highest common factor.
The factors of 2868 are 1, 2, 3, 4, 6, 12, 239, 478, 717, 956, 1434, 2868
The factors of 8402 are 1, 2, 4201, 8402
The HCF of 2868,8402 is 2.
Lets's calculate GCF of 2868,8402
| 2 | 2868, 8402 |
| 1434, 4201 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2868,8402 By Matching Biggest Common Factor Method
Now, list down the factors of 2868
:1,2,3,4,6,12,239,478,717,956,1434,2868
Now, list down the factors of 8402
:1,2,4201,8402
Greatest Common Factor
We found the factors 2868,8402 . The biggest common factor number is the GCF number.
So the greatest common factor 2868,8402 is 2.
Lets's calculate LCM of 535,313
Given numbers has no common factors except 1. So, there LCM is their product i.e 167455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/167455
Therefore, the GCF of Fractions 2868/535,8402/313 is 2/167455
Least Common Multiple of 535,313 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 535,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(535,313) x common factors =1 x 1 = 1
LCM(535,313) = ( 535 × 313 ) / 1
LCM(535,313) = 167455 / 1
LCM(535,313) = 167455
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FAQs on GCF of Fractions of 2868/535, 8402/313
1. What is the HCF of 2868,8402?
The HCF of 2868,8402 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 2868/535, 8402/313?
Answer: GCF of Numerators as per given numbers 2868/535, 8402/313 is
GCF of Numerators i.e. for 2868,8402 is 2
LCM of denominators i.e. for 535,313 is 167455.
Thus, GCF of Fractions is 2/167455.Finally, GCF of Fractions for 2868/535, 8402/313 is 2/167455.