GCF of 5391/745, 8526/9147
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5391/745, 8526/9147 i.e 3/6814515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5391/745, 8526/9147.
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 5391/745,8526/9147?
Given fractions are 5391/745,8526/9147
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 5391/745,8526/9147, numerators are 5391,8526
Denominators are 745,9147
The GCF of 5391,8526 is 3 .
LCM of 745,9147 is 6814515.
The greatest common factor of 5391/745,8526/9147 = [GCF of 5391,8526]/[LCM of 745,9147]= 3/6814515
Therefore, the GCF of 5391/745,8526/9147 is 3/6814515.
To find the highest common factor of 5391,8526, 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 8526 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526
The HCF of 5391,8526 is 3.
Lets's calculate GCF of 5391,8526
| 3 | 5391, 8526 |
| 1797, 2842 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5391,8526 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 8526
:1,2,3,6,7,14,21,29,42,49,58,87,98,147,174,203,294,406,609,1218,1421,2842,4263,8526
Greatest Common Factor
We found the factors 5391,8526 . The biggest common factor number is the GCF number.
So the greatest common factor 5391,8526 is 3.
Lets's calculate LCM of 745,9147
Given numbers has no common factors except 1. So, there LCM is their product i.e 6814515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6814515
Therefore, the GCF of Fractions 5391/745,8526/9147 is 3/6814515
Least Common Multiple of 745,9147 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 745,9147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,9147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,9147) x common factors =1 x 1 = 1
LCM(745,9147) = ( 745 × 9147 ) / 1
LCM(745,9147) = 6814515 / 1
LCM(745,9147) = 6814515
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FAQs on GCF of Fractions of 5391/745, 8526/9147
1. What is the HCF of 5391,8526?
The HCF of 5391,8526 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 5391/745, 8526/9147?
Answer: GCF of Numerators as per given numbers 5391/745, 8526/9147 is
GCF of Numerators i.e. for 5391,8526 is 3
LCM of denominators i.e. for 745,9147 is 6814515.
Thus, GCF of Fractions is 3/6814515.Finally, GCF of Fractions for 5391/745, 8526/9147 is 3/6814515.