GCF of 5365/275, 2189/572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5365/275, 2189/572 i.e 1/14300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5365/275, 2189/572.
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 5365/275,2189/572?
Given fractions are 5365/275,2189/572
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 5365/275,2189/572, numerators are 5365,2189
Denominators are 275,572
The GCF of 5365,2189 is 1 .
LCM of 275,572 is 14300.
The greatest common factor of 5365/275,2189/572 = [GCF of 5365,2189]/[LCM of 275,572]= 1/14300
Therefore, the GCF of 5365/275,2189/572 is 1/14300.
To find the highest common factor of 5365,2189, we have to find the factors of both numbers and list the highest common factor.
The factors of 5365 are 1, 5, 29, 37, 145, 185, 1073, 5365
The factors of 2189 are 1, 11, 199, 2189
The HCF of 5365,2189 is 1.
Lets's calculate GCF of 5365,2189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5365,2189 By Matching Biggest Common Factor Method
Now, list down the factors of 5365
:1,5,29,37,145,185,1073,5365
Now, list down the factors of 2189
:1,11,199,2189
Greatest Common Factor
We found the factors 5365,2189 . The biggest common factor number is the GCF number.
So the greatest common factor 5365,2189 is 1.
Lets's calculate LCM of 275,572
| 11 | 275, 572 |
| 25, 52 |
∴ So the LCM of the given numbers is 11 x 25 x 52 = 14300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14300
Therefore, the GCF of Fractions 5365/275,2189/572 is 1/14300
Least Common Multiple of 275,572 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 275,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,572) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(275,572) x common factors =11 x 1 = 11
LCM(275,572) = ( 275 × 572 ) / 11
LCM(275,572) = 157300 / 11
LCM(275,572) = 14300
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FAQs on GCF of Fractions of 5365/275, 2189/572
1. What is the HCF of 5365,2189?
The HCF of 5365,2189 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 5365/275, 2189/572?
Answer: GCF of Numerators as per given numbers 5365/275, 2189/572 is
GCF of Numerators i.e. for 5365,2189 is 1
LCM of denominators i.e. for 275,572 is 14300.
Thus, GCF of Fractions is 1/14300.Finally, GCF of Fractions for 5365/275, 2189/572 is 1/14300.