GCF of 7590/687, 6624/5103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7590/687, 6624/5103 i.e 138/1168587 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7590/687, 6624/5103.
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 7590/687,6624/5103?
Given fractions are 7590/687,6624/5103
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 7590/687,6624/5103, numerators are 7590,6624
Denominators are 687,5103
The GCF of 7590,6624 is 138 .
LCM of 687,5103 is 1168587.
The greatest common factor of 7590/687,6624/5103 = [GCF of 7590,6624]/[LCM of 687,5103]= 138/1168587
Therefore, the GCF of 7590/687,6624/5103 is 138/1168587.
To find the highest common factor of 7590,6624, we have to find the factors of both numbers and list the highest common factor.
The factors of 7590 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590
The factors of 6624 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624
The HCF of 7590,6624 is 138.
Lets's calculate GCF of 7590,6624
| 2 | 7590, 6624 |
| 3 | 3795, 3312 |
| 23 | 1265, 1104 |
| 55, 48 |
∴ So the GCF of the given numbers is 2 x 3 x 23 = 138
Greatest Common Factor of 7590,6624 By Matching Biggest Common Factor Method
Now, list down the factors of 7590
:1,2,3,5,6,10,11,15,22,23,30,33,46,55,66,69,110,115,138,165,230,253,330,345,506,690,759,1265,1518,2530,3795,7590
Now, list down the factors of 6624
:1,2,3,4,6,8,9,12,16,18,23,24,32,36,46,48,69,72,92,96,138,144,184,207,276,288,368,414,552,736,828,1104,1656,2208,3312,6624
Greatest Common Factor
We found the factors 7590,6624 . The biggest common factor number is the GCF number.
So the greatest common factor 7590,6624 is 138.
Lets's calculate LCM of 687,5103
| 3 | 687, 5103 |
| 229, 1701 |
∴ So the LCM of the given numbers is 3 x 229 x 1701 = 1168587
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 138/1168587
Therefore, the GCF of Fractions 7590/687,6624/5103 is 138/1168587
Least Common Multiple of 687,5103 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 687,5103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,5103) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(687,5103) x common factors =3 x 1 = 3
LCM(687,5103) = ( 687 × 5103 ) / 3
LCM(687,5103) = 3505761 / 3
LCM(687,5103) = 1168587
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FAQs on GCF of Fractions of 7590/687, 6624/5103
1. What is the HCF of 7590,6624?
The HCF of 7590,6624 is 138
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 7590/687, 6624/5103?
Answer: GCF of Numerators as per given numbers 7590/687, 6624/5103 is
GCF of Numerators i.e. for 7590,6624 is 138
LCM of denominators i.e. for 687,5103 is 1168587.
Thus, GCF of Fractions is 138/1168587.Finally, GCF of Fractions for 7590/687, 6624/5103 is 138/1168587.