GCF of 2490/564, 7248/5823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2490/564, 7248/5823 i.e 6/1094724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2490/564, 7248/5823.
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 2490/564,7248/5823?
Given fractions are 2490/564,7248/5823
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 2490/564,7248/5823, numerators are 2490,7248
Denominators are 564,5823
The GCF of 2490,7248 is 6 .
LCM of 564,5823 is 1094724.
The greatest common factor of 2490/564,7248/5823 = [GCF of 2490,7248]/[LCM of 564,5823]= 6/1094724
Therefore, the GCF of 2490/564,7248/5823 is 6/1094724.
To find the highest common factor of 2490,7248, we have to find the factors of both numbers and list the highest common factor.
The factors of 2490 are 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490
The factors of 7248 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 151, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 7248
The HCF of 2490,7248 is 6.
Lets's calculate GCF of 2490,7248
| 2 | 2490, 7248 |
| 3 | 1245, 3624 |
| 415, 1208 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2490,7248 By Matching Biggest Common Factor Method
Now, list down the factors of 2490
:1,2,3,5,6,10,15,30,83,166,249,415,498,830,1245,2490
Now, list down the factors of 7248
:1,2,3,4,6,8,12,16,24,48,151,302,453,604,906,1208,1812,2416,3624,7248
Greatest Common Factor
We found the factors 2490,7248 . The biggest common factor number is the GCF number.
So the greatest common factor 2490,7248 is 6.
Lets's calculate LCM of 564,5823
| 3 | 564, 5823 |
| 188, 1941 |
∴ So the LCM of the given numbers is 3 x 188 x 1941 = 1094724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1094724
Therefore, the GCF of Fractions 2490/564,7248/5823 is 6/1094724
Least Common Multiple of 564,5823 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 564,5823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,5823) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(564,5823) x common factors =3 x 1 = 3
LCM(564,5823) = ( 564 × 5823 ) / 3
LCM(564,5823) = 3284172 / 3
LCM(564,5823) = 1094724
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FAQs on GCF of Fractions of 2490/564, 7248/5823
1. What is the HCF of 2490,7248?
The HCF of 2490,7248 is 6
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 2490/564, 7248/5823?
Answer: GCF of Numerators as per given numbers 2490/564, 7248/5823 is
GCF of Numerators i.e. for 2490,7248 is 6
LCM of denominators i.e. for 564,5823 is 1094724.
Thus, GCF of Fractions is 6/1094724.Finally, GCF of Fractions for 2490/564, 7248/5823 is 6/1094724.