GCF of 4999/375, 7312/6895
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4999/375, 7312/6895 i.e 1/517125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4999/375, 7312/6895.
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 4999/375,7312/6895?
Given fractions are 4999/375,7312/6895
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 4999/375,7312/6895, numerators are 4999,7312
Denominators are 375,6895
The GCF of 4999,7312 is 1 .
LCM of 375,6895 is 517125.
The greatest common factor of 4999/375,7312/6895 = [GCF of 4999,7312]/[LCM of 375,6895]= 1/517125
Therefore, the GCF of 4999/375,7312/6895 is 1/517125.
To find the highest common factor of 4999,7312, we have to find the factors of both numbers and list the highest common factor.
The factors of 4999 are 1, 4999
The factors of 7312 are 1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312
The HCF of 4999,7312 is 1.
Lets's calculate GCF of 4999,7312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4999,7312 By Matching Biggest Common Factor Method
Now, list down the factors of 4999
:1,4999
Now, list down the factors of 7312
:1,2,4,8,16,457,914,1828,3656,7312
Greatest Common Factor
We found the factors 4999,7312 . The biggest common factor number is the GCF number.
So the greatest common factor 4999,7312 is 1.
Lets's calculate LCM of 375,6895
| 5 | 375, 6895 |
| 75, 1379 |
∴ So the LCM of the given numbers is 5 x 75 x 1379 = 517125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517125
Therefore, the GCF of Fractions 4999/375,7312/6895 is 1/517125
Least Common Multiple of 375,6895 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 375,6895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,6895) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(375,6895) x common factors =5 x 1 = 5
LCM(375,6895) = ( 375 × 6895 ) / 5
LCM(375,6895) = 2585625 / 5
LCM(375,6895) = 517125
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FAQs on GCF of Fractions of 4999/375, 7312/6895
1. What is the HCF of 4999,7312?
The HCF of 4999,7312 is 1
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 4999/375, 7312/6895?
Answer: GCF of Numerators as per given numbers 4999/375, 7312/6895 is
GCF of Numerators i.e. for 4999,7312 is 1
LCM of denominators i.e. for 375,6895 is 517125.
Thus, GCF of Fractions is 1/517125.Finally, GCF of Fractions for 4999/375, 7312/6895 is 1/517125.