GCF of 6874/475, 8884/5120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6874/475, 8884/5120 i.e 2/486400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6874/475, 8884/5120.
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 6874/475,8884/5120?
Given fractions are 6874/475,8884/5120
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 6874/475,8884/5120, numerators are 6874,8884
Denominators are 475,5120
The GCF of 6874,8884 is 2 .
LCM of 475,5120 is 486400.
The greatest common factor of 6874/475,8884/5120 = [GCF of 6874,8884]/[LCM of 475,5120]= 2/486400
Therefore, the GCF of 6874/475,8884/5120 is 2/486400.
To find the highest common factor of 6874,8884, we have to find the factors of both numbers and list the highest common factor.
The factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874
The factors of 8884 are 1, 2, 4, 2221, 4442, 8884
The HCF of 6874,8884 is 2.
Lets's calculate GCF of 6874,8884
| 2 | 6874, 8884 |
| 3437, 4442 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6874,8884 By Matching Biggest Common Factor Method
Now, list down the factors of 6874
:1,2,7,14,491,982,3437,6874
Now, list down the factors of 8884
:1,2,4,2221,4442,8884
Greatest Common Factor
We found the factors 6874,8884 . The biggest common factor number is the GCF number.
So the greatest common factor 6874,8884 is 2.
Lets's calculate LCM of 475,5120
| 5 | 475, 5120 |
| 95, 1024 |
∴ So the LCM of the given numbers is 5 x 95 x 1024 = 486400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/486400
Therefore, the GCF of Fractions 6874/475,8884/5120 is 2/486400
Least Common Multiple of 475,5120 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 475,5120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,5120) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(475,5120) x common factors =5 x 1 = 5
LCM(475,5120) = ( 475 × 5120 ) / 5
LCM(475,5120) = 2432000 / 5
LCM(475,5120) = 486400
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FAQs on GCF of Fractions of 6874/475, 8884/5120
1. What is the HCF of 6874,8884?
The HCF of 6874,8884 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 6874/475, 8884/5120?
Answer: GCF of Numerators as per given numbers 6874/475, 8884/5120 is
GCF of Numerators i.e. for 6874,8884 is 2
LCM of denominators i.e. for 475,5120 is 486400.
Thus, GCF of Fractions is 2/486400.Finally, GCF of Fractions for 6874/475, 8884/5120 is 2/486400.