GCF of 1539/734, 1362/610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1539/734, 1362/610 i.e 3/223870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1539/734, 1362/610.
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 1539/734,1362/610?
Given fractions are 1539/734,1362/610
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 1539/734,1362/610, numerators are 1539,1362
Denominators are 734,610
The GCF of 1539,1362 is 3 .
LCM of 734,610 is 223870.
The greatest common factor of 1539/734,1362/610 = [GCF of 1539,1362]/[LCM of 734,610]= 3/223870
Therefore, the GCF of 1539/734,1362/610 is 3/223870.
To find the highest common factor of 1539,1362, we have to find the factors of both numbers and list the highest common factor.
The factors of 1539 are 1, 3, 9, 19, 27, 57, 81, 171, 513, 1539
The factors of 1362 are 1, 2, 3, 6, 227, 454, 681, 1362
The HCF of 1539,1362 is 3.
Lets's calculate GCF of 1539,1362
| 3 | 1539, 1362 |
| 513, 454 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1539,1362 By Matching Biggest Common Factor Method
Now, list down the factors of 1539
:1,3,9,19,27,57,81,171,513,1539
Now, list down the factors of 1362
:1,2,3,6,227,454,681,1362
Greatest Common Factor
We found the factors 1539,1362 . The biggest common factor number is the GCF number.
So the greatest common factor 1539,1362 is 3.
Lets's calculate LCM of 734,610
| 2 | 734, 610 |
| 367, 305 |
∴ So the LCM of the given numbers is 2 x 367 x 305 = 223870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/223870
Therefore, the GCF of Fractions 1539/734,1362/610 is 3/223870
Least Common Multiple of 734,610 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 734,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,610) x common factors =2 x 1 = 2
LCM(734,610) = ( 734 × 610 ) / 2
LCM(734,610) = 447740 / 2
LCM(734,610) = 223870
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FAQs on GCF of Fractions of 1539/734, 1362/610
1. What is the HCF of 1539,1362?
The HCF of 1539,1362 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 1539/734, 1362/610?
Answer: GCF of Numerators as per given numbers 1539/734, 1362/610 is
GCF of Numerators i.e. for 1539,1362 is 3
LCM of denominators i.e. for 734,610 is 223870.
Thus, GCF of Fractions is 3/223870.Finally, GCF of Fractions for 1539/734, 1362/610 is 3/223870.