GCF of 5028/671, 7317/7661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5028/671, 7317/7661 i.e 3/5140531 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5028/671, 7317/7661.
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 5028/671,7317/7661?
Given fractions are 5028/671,7317/7661
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 5028/671,7317/7661, numerators are 5028,7317
Denominators are 671,7661
The GCF of 5028,7317 is 3 .
LCM of 671,7661 is 5140531.
The greatest common factor of 5028/671,7317/7661 = [GCF of 5028,7317]/[LCM of 671,7661]= 3/5140531
Therefore, the GCF of 5028/671,7317/7661 is 3/5140531.
To find the highest common factor of 5028,7317, we have to find the factors of both numbers and list the highest common factor.
The factors of 5028 are 1, 2, 3, 4, 6, 12, 419, 838, 1257, 1676, 2514, 5028
The factors of 7317 are 1, 3, 9, 27, 271, 813, 2439, 7317
The HCF of 5028,7317 is 3.
Lets's calculate GCF of 5028,7317
| 3 | 5028, 7317 |
| 1676, 2439 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5028,7317 By Matching Biggest Common Factor Method
Now, list down the factors of 5028
:1,2,3,4,6,12,419,838,1257,1676,2514,5028
Now, list down the factors of 7317
:1,3,9,27,271,813,2439,7317
Greatest Common Factor
We found the factors 5028,7317 . The biggest common factor number is the GCF number.
So the greatest common factor 5028,7317 is 3.
Lets's calculate LCM of 671,7661
Given numbers has no common factors except 1. So, there LCM is their product i.e 5140531
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5140531
Therefore, the GCF of Fractions 5028/671,7317/7661 is 3/5140531
Least Common Multiple of 671,7661 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 671,7661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,7661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(671,7661) x common factors =1 x 1 = 1
LCM(671,7661) = ( 671 × 7661 ) / 1
LCM(671,7661) = 5140531 / 1
LCM(671,7661) = 5140531
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FAQs on GCF of Fractions of 5028/671, 7317/7661
1. What is the HCF of 5028,7317?
The HCF of 5028,7317 is 3
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 5028/671, 7317/7661?
Answer: GCF of Numerators as per given numbers 5028/671, 7317/7661 is
GCF of Numerators i.e. for 5028,7317 is 3
LCM of denominators i.e. for 671,7661 is 5140531.
Thus, GCF of Fractions is 3/5140531.Finally, GCF of Fractions for 5028/671, 7317/7661 is 3/5140531.