GCF of 9252/667, 6516/9031
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9252/667, 6516/9031 i.e 36/6023677 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9252/667, 6516/9031.
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 9252/667,6516/9031?
Given fractions are 9252/667,6516/9031
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 9252/667,6516/9031, numerators are 9252,6516
Denominators are 667,9031
The GCF of 9252,6516 is 36 .
LCM of 667,9031 is 6023677.
The greatest common factor of 9252/667,6516/9031 = [GCF of 9252,6516]/[LCM of 667,9031]= 36/6023677
Therefore, the GCF of 9252/667,6516/9031 is 36/6023677.
To find the highest common factor of 9252,6516, we have to find the factors of both numbers and list the highest common factor.
The factors of 9252 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 257, 514, 771, 1028, 1542, 2313, 3084, 4626, 9252
The factors of 6516 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 181, 362, 543, 724, 1086, 1629, 2172, 3258, 6516
The HCF of 9252,6516 is 36.
Lets's calculate GCF of 9252,6516
| 2 | 9252, 6516 |
| 2 | 4626, 3258 |
| 3 | 2313, 1629 |
| 3 | 771, 543 |
| 257, 181 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 9252,6516 By Matching Biggest Common Factor Method
Now, list down the factors of 9252
:1,2,3,4,6,9,12,18,36,257,514,771,1028,1542,2313,3084,4626,9252
Now, list down the factors of 6516
:1,2,3,4,6,9,12,18,36,181,362,543,724,1086,1629,2172,3258,6516
Greatest Common Factor
We found the factors 9252,6516 . The biggest common factor number is the GCF number.
So the greatest common factor 9252,6516 is 36.
Lets's calculate LCM of 667,9031
Given numbers has no common factors except 1. So, there LCM is their product i.e 6023677
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/6023677
Therefore, the GCF of Fractions 9252/667,6516/9031 is 36/6023677
Least Common Multiple of 667,9031 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 667,9031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,9031) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,9031) x common factors =1 x 1 = 1
LCM(667,9031) = ( 667 × 9031 ) / 1
LCM(667,9031) = 6023677 / 1
LCM(667,9031) = 6023677
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FAQs on GCF of Fractions of 9252/667, 6516/9031
1. What is the HCF of 9252,6516?
The HCF of 9252,6516 is 36
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 9252/667, 6516/9031?
Answer: GCF of Numerators as per given numbers 9252/667, 6516/9031 is
GCF of Numerators i.e. for 9252,6516 is 36
LCM of denominators i.e. for 667,9031 is 6023677.
Thus, GCF of Fractions is 36/6023677.Finally, GCF of Fractions for 9252/667, 6516/9031 is 36/6023677.