GCF of 5181/714, 8507/4089
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5181/714, 8507/4089 i.e 1/973182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5181/714, 8507/4089.
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 5181/714,8507/4089?
Given fractions are 5181/714,8507/4089
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 5181/714,8507/4089, numerators are 5181,8507
Denominators are 714,4089
The GCF of 5181,8507 is 1 .
LCM of 714,4089 is 973182.
The greatest common factor of 5181/714,8507/4089 = [GCF of 5181,8507]/[LCM of 714,4089]= 1/973182
Therefore, the GCF of 5181/714,8507/4089 is 1/973182.
To find the highest common factor of 5181,8507, we have to find the factors of both numbers and list the highest common factor.
The factors of 5181 are 1, 3, 11, 33, 157, 471, 1727, 5181
The factors of 8507 are 1, 47, 181, 8507
The HCF of 5181,8507 is 1.
Lets's calculate GCF of 5181,8507
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5181,8507 By Matching Biggest Common Factor Method
Now, list down the factors of 5181
:1,3,11,33,157,471,1727,5181
Now, list down the factors of 8507
:1,47,181,8507
Greatest Common Factor
We found the factors 5181,8507 . The biggest common factor number is the GCF number.
So the greatest common factor 5181,8507 is 1.
Lets's calculate LCM of 714,4089
| 3 | 714, 4089 |
| 238, 1363 |
∴ So the LCM of the given numbers is 3 x 238 x 1363 = 973182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/973182
Therefore, the GCF of Fractions 5181/714,8507/4089 is 1/973182
Least Common Multiple of 714,4089 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 714,4089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,4089) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(714,4089) x common factors =3 x 1 = 3
LCM(714,4089) = ( 714 × 4089 ) / 3
LCM(714,4089) = 2919546 / 3
LCM(714,4089) = 973182
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FAQs on GCF of Fractions of 5181/714, 8507/4089
1. What is the HCF of 5181,8507?
The HCF of 5181,8507 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 5181/714, 8507/4089?
Answer: GCF of Numerators as per given numbers 5181/714, 8507/4089 is
GCF of Numerators i.e. for 5181,8507 is 1
LCM of denominators i.e. for 714,4089 is 973182.
Thus, GCF of Fractions is 1/973182.Finally, GCF of Fractions for 5181/714, 8507/4089 is 1/973182.