GCF of 5476/340, 6539/578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5476/340, 6539/578 i.e 1/5780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5476/340, 6539/578.
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 5476/340,6539/578?
Given fractions are 5476/340,6539/578
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 5476/340,6539/578, numerators are 5476,6539
Denominators are 340,578
The GCF of 5476,6539 is 1 .
LCM of 340,578 is 5780.
The greatest common factor of 5476/340,6539/578 = [GCF of 5476,6539]/[LCM of 340,578]= 1/5780
Therefore, the GCF of 5476/340,6539/578 is 1/5780.
To find the highest common factor of 5476,6539, we have to find the factors of both numbers and list the highest common factor.
The factors of 5476 are 1, 2, 4, 37, 74, 148, 1369, 2738, 5476
The factors of 6539 are 1, 13, 503, 6539
The HCF of 5476,6539 is 1.
Lets's calculate GCF of 5476,6539
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5476,6539 By Matching Biggest Common Factor Method
Now, list down the factors of 5476
:1,2,4,37,74,148,1369,2738,5476
Now, list down the factors of 6539
:1,13,503,6539
Greatest Common Factor
We found the factors 5476,6539 . The biggest common factor number is the GCF number.
So the greatest common factor 5476,6539 is 1.
Lets's calculate LCM of 340,578
| 2 | 340, 578 |
| 17 | 170, 289 |
| 10, 17 |
∴ So the LCM of the given numbers is 2 x 17 x 10 x 17 = 5780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5780
Therefore, the GCF of Fractions 5476/340,6539/578 is 1/5780
Least Common Multiple of 340,578 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 340,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,578) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(340,578) x common factors =34 x 1 = 34
LCM(340,578) = ( 340 × 578 ) / 34
LCM(340,578) = 196520 / 34
LCM(340,578) = 5780
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FAQs on GCF of Fractions of 5476/340, 6539/578
1. What is the HCF of 5476,6539?
The HCF of 5476,6539 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 5476/340, 6539/578?
Answer: GCF of Numerators as per given numbers 5476/340, 6539/578 is
GCF of Numerators i.e. for 5476,6539 is 1
LCM of denominators i.e. for 340,578 is 5780.
Thus, GCF of Fractions is 1/5780.Finally, GCF of Fractions for 5476/340, 6539/578 is 1/5780.