GCF of 7537/819, 8538/511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7537/819, 8538/511 i.e 1/59787 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7537/819, 8538/511.
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 7537/819,8538/511?
Given fractions are 7537/819,8538/511
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 7537/819,8538/511, numerators are 7537,8538
Denominators are 819,511
The GCF of 7537,8538 is 1 .
LCM of 819,511 is 59787.
The greatest common factor of 7537/819,8538/511 = [GCF of 7537,8538]/[LCM of 819,511]= 1/59787
Therefore, the GCF of 7537/819,8538/511 is 1/59787.
To find the highest common factor of 7537,8538, we have to find the factors of both numbers and list the highest common factor.
The factors of 7537 are 1, 7537
The factors of 8538 are 1, 2, 3, 6, 1423, 2846, 4269, 8538
The HCF of 7537,8538 is 1.
Lets's calculate GCF of 7537,8538
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7537,8538 By Matching Biggest Common Factor Method
Now, list down the factors of 7537
:1,7537
Now, list down the factors of 8538
:1,2,3,6,1423,2846,4269,8538
Greatest Common Factor
We found the factors 7537,8538 . The biggest common factor number is the GCF number.
So the greatest common factor 7537,8538 is 1.
Lets's calculate LCM of 819,511
| 7 | 819, 511 |
| 117, 73 |
∴ So the LCM of the given numbers is 7 x 117 x 73 = 59787
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59787
Therefore, the GCF of Fractions 7537/819,8538/511 is 1/59787
Least Common Multiple of 819,511 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 819,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,511) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(819,511) x common factors =7 x 1 = 7
LCM(819,511) = ( 819 × 511 ) / 7
LCM(819,511) = 418509 / 7
LCM(819,511) = 59787
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FAQs on GCF of Fractions of 7537/819, 8538/511
1. What is the HCF of 7537,8538?
The HCF of 7537,8538 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 7537/819, 8538/511?
Answer: GCF of Numerators as per given numbers 7537/819, 8538/511 is
GCF of Numerators i.e. for 7537,8538 is 1
LCM of denominators i.e. for 819,511 is 59787.
Thus, GCF of Fractions is 1/59787.Finally, GCF of Fractions for 7537/819, 8538/511 is 1/59787.