GCF of 5149/873, 7847/5129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5149/873, 7847/5129 i.e 19/4477617 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5149/873, 7847/5129.
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 5149/873,7847/5129?
Given fractions are 5149/873,7847/5129
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 5149/873,7847/5129, numerators are 5149,7847
Denominators are 873,5129
The GCF of 5149,7847 is 19 .
LCM of 873,5129 is 4477617.
The greatest common factor of 5149/873,7847/5129 = [GCF of 5149,7847]/[LCM of 873,5129]= 19/4477617
Therefore, the GCF of 5149/873,7847/5129 is 19/4477617.
To find the highest common factor of 5149,7847, we have to find the factors of both numbers and list the highest common factor.
The factors of 5149 are 1, 19, 271, 5149
The factors of 7847 are 1, 7, 19, 59, 133, 413, 1121, 7847
The HCF of 5149,7847 is 19.
Lets's calculate GCF of 5149,7847
| 19 | 5149, 7847 |
| 271, 413 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 5149,7847 By Matching Biggest Common Factor Method
Now, list down the factors of 5149
:1,19,271,5149
Now, list down the factors of 7847
:1,7,19,59,133,413,1121,7847
Greatest Common Factor
We found the factors 5149,7847 . The biggest common factor number is the GCF number.
So the greatest common factor 5149,7847 is 19.
Lets's calculate LCM of 873,5129
Given numbers has no common factors except 1. So, there LCM is their product i.e 4477617
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/4477617
Therefore, the GCF of Fractions 5149/873,7847/5129 is 19/4477617
Least Common Multiple of 873,5129 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 873,5129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,5129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,5129) x common factors =1 x 1 = 1
LCM(873,5129) = ( 873 × 5129 ) / 1
LCM(873,5129) = 4477617 / 1
LCM(873,5129) = 4477617
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FAQs on GCF of Fractions of 5149/873, 7847/5129
1. What is the HCF of 5149,7847?
The HCF of 5149,7847 is 19
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 5149/873, 7847/5129?
Answer: GCF of Numerators as per given numbers 5149/873, 7847/5129 is
GCF of Numerators i.e. for 5149,7847 is 19
LCM of denominators i.e. for 873,5129 is 4477617.
Thus, GCF of Fractions is 19/4477617.Finally, GCF of Fractions for 5149/873, 7847/5129 is 19/4477617.