GCF of 8259/948, 7170/536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8259/948, 7170/536 i.e 3/127032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8259/948, 7170/536.
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 8259/948,7170/536?
Given fractions are 8259/948,7170/536
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 8259/948,7170/536, numerators are 8259,7170
Denominators are 948,536
The GCF of 8259,7170 is 3 .
LCM of 948,536 is 127032.
The greatest common factor of 8259/948,7170/536 = [GCF of 8259,7170]/[LCM of 948,536]= 3/127032
Therefore, the GCF of 8259/948,7170/536 is 3/127032.
To find the highest common factor of 8259,7170, we have to find the factors of both numbers and list the highest common factor.
The factors of 8259 are 1, 3, 2753, 8259
The factors of 7170 are 1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170
The HCF of 8259,7170 is 3.
Lets's calculate GCF of 8259,7170
| 3 | 8259, 7170 |
| 2753, 2390 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8259,7170 By Matching Biggest Common Factor Method
Now, list down the factors of 8259
:1,3,2753,8259
Now, list down the factors of 7170
:1,2,3,5,6,10,15,30,239,478,717,1195,1434,2390,3585,7170
Greatest Common Factor
We found the factors 8259,7170 . The biggest common factor number is the GCF number.
So the greatest common factor 8259,7170 is 3.
Lets's calculate LCM of 948,536
| 2 | 948, 536 |
| 2 | 474, 268 |
| 237, 134 |
∴ So the LCM of the given numbers is 2 x 2 x 237 x 134 = 127032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/127032
Therefore, the GCF of Fractions 8259/948,7170/536 is 3/127032
Least Common Multiple of 948,536 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 948,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,536) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(948,536) x common factors =4 x 1 = 4
LCM(948,536) = ( 948 × 536 ) / 4
LCM(948,536) = 508128 / 4
LCM(948,536) = 127032
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FAQs on GCF of Fractions of 8259/948, 7170/536
1. What is the HCF of 8259,7170?
The HCF of 8259,7170 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 8259/948, 7170/536?
Answer: GCF of Numerators as per given numbers 8259/948, 7170/536 is
GCF of Numerators i.e. for 8259,7170 is 3
LCM of denominators i.e. for 948,536 is 127032.
Thus, GCF of Fractions is 3/127032.Finally, GCF of Fractions for 8259/948, 7170/536 is 3/127032.