GCF of 5391/277, 6504/1125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5391/277, 6504/1125 i.e 3/311625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5391/277, 6504/1125.
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 5391/277,6504/1125?
Given fractions are 5391/277,6504/1125
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 5391/277,6504/1125, numerators are 5391,6504
Denominators are 277,1125
The GCF of 5391,6504 is 3 .
LCM of 277,1125 is 311625.
The greatest common factor of 5391/277,6504/1125 = [GCF of 5391,6504]/[LCM of 277,1125]= 3/311625
Therefore, the GCF of 5391/277,6504/1125 is 3/311625.
To find the highest common factor of 5391,6504, we have to find the factors of both numbers and list the highest common factor.
The factors of 5391 are 1, 3, 9, 599, 1797, 5391
The factors of 6504 are 1, 2, 3, 4, 6, 8, 12, 24, 271, 542, 813, 1084, 1626, 2168, 3252, 6504
The HCF of 5391,6504 is 3.
Lets's calculate GCF of 5391,6504
| 3 | 5391, 6504 |
| 1797, 2168 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5391,6504 By Matching Biggest Common Factor Method
Now, list down the factors of 5391
:1,3,9,599,1797,5391
Now, list down the factors of 6504
:1,2,3,4,6,8,12,24,271,542,813,1084,1626,2168,3252,6504
Greatest Common Factor
We found the factors 5391,6504 . The biggest common factor number is the GCF number.
So the greatest common factor 5391,6504 is 3.
Lets's calculate LCM of 277,1125
Given numbers has no common factors except 1. So, there LCM is their product i.e 311625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/311625
Therefore, the GCF of Fractions 5391/277,6504/1125 is 3/311625
Least Common Multiple of 277,1125 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 277,1125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,1125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,1125) x common factors =1 x 1 = 1
LCM(277,1125) = ( 277 × 1125 ) / 1
LCM(277,1125) = 311625 / 1
LCM(277,1125) = 311625
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FAQs on GCF of Fractions of 5391/277, 6504/1125
1. What is the HCF of 5391,6504?
The HCF of 5391,6504 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 5391/277, 6504/1125?
Answer: GCF of Numerators as per given numbers 5391/277, 6504/1125 is
GCF of Numerators i.e. for 5391,6504 is 3
LCM of denominators i.e. for 277,1125 is 311625.
Thus, GCF of Fractions is 3/311625.Finally, GCF of Fractions for 5391/277, 6504/1125 is 3/311625.