GCF of 1325/540, 7855/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1325/540, 7855/687 i.e 5/123660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1325/540, 7855/687.
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 1325/540,7855/687?
Given fractions are 1325/540,7855/687
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 1325/540,7855/687, numerators are 1325,7855
Denominators are 540,687
The GCF of 1325,7855 is 5 .
LCM of 540,687 is 123660.
The greatest common factor of 1325/540,7855/687 = [GCF of 1325,7855]/[LCM of 540,687]= 5/123660
Therefore, the GCF of 1325/540,7855/687 is 5/123660.
To find the highest common factor of 1325,7855, we have to find the factors of both numbers and list the highest common factor.
The factors of 1325 are 1, 5, 25, 53, 265, 1325
The factors of 7855 are 1, 5, 1571, 7855
The HCF of 1325,7855 is 5.
Lets's calculate GCF of 1325,7855
| 5 | 1325, 7855 |
| 265, 1571 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1325,7855 By Matching Biggest Common Factor Method
Now, list down the factors of 1325
:1,5,25,53,265,1325
Now, list down the factors of 7855
:1,5,1571,7855
Greatest Common Factor
We found the factors 1325,7855 . The biggest common factor number is the GCF number.
So the greatest common factor 1325,7855 is 5.
Lets's calculate LCM of 540,687
| 3 | 540, 687 |
| 180, 229 |
∴ So the LCM of the given numbers is 3 x 180 x 229 = 123660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/123660
Therefore, the GCF of Fractions 1325/540,7855/687 is 5/123660
Least Common Multiple of 540,687 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 540,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,687) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(540,687) x common factors =3 x 1 = 3
LCM(540,687) = ( 540 × 687 ) / 3
LCM(540,687) = 370980 / 3
LCM(540,687) = 123660
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FAQs on GCF of Fractions of 1325/540, 7855/687
1. What is the HCF of 1325,7855?
The HCF of 1325,7855 is 5
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 1325/540, 7855/687?
Answer: GCF of Numerators as per given numbers 1325/540, 7855/687 is
GCF of Numerators i.e. for 1325,7855 is 5
LCM of denominators i.e. for 540,687 is 123660.
Thus, GCF of Fractions is 5/123660.Finally, GCF of Fractions for 1325/540, 7855/687 is 5/123660.