GCF of 8244/492, 6570/2121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8244/492, 6570/2121 i.e 18/347844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8244/492, 6570/2121.
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 8244/492,6570/2121?
Given fractions are 8244/492,6570/2121
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 8244/492,6570/2121, numerators are 8244,6570
Denominators are 492,2121
The GCF of 8244,6570 is 18 .
LCM of 492,2121 is 347844.
The greatest common factor of 8244/492,6570/2121 = [GCF of 8244,6570]/[LCM of 492,2121]= 18/347844
Therefore, the GCF of 8244/492,6570/2121 is 18/347844.
To find the highest common factor of 8244,6570, we have to find the factors of both numbers and list the highest common factor.
The factors of 8244 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 229, 458, 687, 916, 1374, 2061, 2748, 4122, 8244
The factors of 6570 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285, 6570
The HCF of 8244,6570 is 18.
Lets's calculate GCF of 8244,6570
| 2 | 8244, 6570 |
| 3 | 4122, 3285 |
| 3 | 1374, 1095 |
| 458, 365 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 8244,6570 By Matching Biggest Common Factor Method
Now, list down the factors of 8244
:1,2,3,4,6,9,12,18,36,229,458,687,916,1374,2061,2748,4122,8244
Now, list down the factors of 6570
:1,2,3,5,6,9,10,15,18,30,45,73,90,146,219,365,438,657,730,1095,1314,2190,3285,6570
Greatest Common Factor
We found the factors 8244,6570 . The biggest common factor number is the GCF number.
So the greatest common factor 8244,6570 is 18.
Lets's calculate LCM of 492,2121
| 3 | 492, 2121 |
| 164, 707 |
∴ So the LCM of the given numbers is 3 x 164 x 707 = 347844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/347844
Therefore, the GCF of Fractions 8244/492,6570/2121 is 18/347844
Least Common Multiple of 492,2121 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 492,2121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,2121) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(492,2121) x common factors =3 x 1 = 3
LCM(492,2121) = ( 492 × 2121 ) / 3
LCM(492,2121) = 1043532 / 3
LCM(492,2121) = 347844
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FAQs on GCF of Fractions of 8244/492, 6570/2121
1. What is the HCF of 8244,6570?
The HCF of 8244,6570 is 18
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 8244/492, 6570/2121?
Answer: GCF of Numerators as per given numbers 8244/492, 6570/2121 is
GCF of Numerators i.e. for 8244,6570 is 18
LCM of denominators i.e. for 492,2121 is 347844.
Thus, GCF of Fractions is 18/347844.Finally, GCF of Fractions for 8244/492, 6570/2121 is 18/347844.