GCF of 7554/814, 7590/7096
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7554/814, 7590/7096 i.e 6/2888072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7554/814, 7590/7096.
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 7554/814,7590/7096?
Given fractions are 7554/814,7590/7096
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 7554/814,7590/7096, numerators are 7554,7590
Denominators are 814,7096
The GCF of 7554,7590 is 6 .
LCM of 814,7096 is 2888072.
The greatest common factor of 7554/814,7590/7096 = [GCF of 7554,7590]/[LCM of 814,7096]= 6/2888072
Therefore, the GCF of 7554/814,7590/7096 is 6/2888072.
To find the highest common factor of 7554,7590, we have to find the factors of both numbers and list the highest common factor.
The factors of 7554 are 1, 2, 3, 6, 1259, 2518, 3777, 7554
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 HCF of 7554,7590 is 6.
Lets's calculate GCF of 7554,7590
| 2 | 7554, 7590 |
| 3 | 3777, 3795 |
| 1259, 1265 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7554,7590 By Matching Biggest Common Factor Method
Now, list down the factors of 7554
:1,2,3,6,1259,2518,3777,7554
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
Greatest Common Factor
We found the factors 7554,7590 . The biggest common factor number is the GCF number.
So the greatest common factor 7554,7590 is 6.
Lets's calculate LCM of 814,7096
| 2 | 814, 7096 |
| 407, 3548 |
∴ So the LCM of the given numbers is 2 x 407 x 3548 = 2888072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2888072
Therefore, the GCF of Fractions 7554/814,7590/7096 is 6/2888072
Least Common Multiple of 814,7096 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 814,7096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,7096) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,7096) x common factors =2 x 1 = 2
LCM(814,7096) = ( 814 × 7096 ) / 2
LCM(814,7096) = 5776144 / 2
LCM(814,7096) = 2888072
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FAQs on GCF of Fractions of 7554/814, 7590/7096
1. What is the HCF of 7554,7590?
The HCF of 7554,7590 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 7554/814, 7590/7096?
Answer: GCF of Numerators as per given numbers 7554/814, 7590/7096 is
GCF of Numerators i.e. for 7554,7590 is 6
LCM of denominators i.e. for 814,7096 is 2888072.
Thus, GCF of Fractions is 6/2888072.Finally, GCF of Fractions for 7554/814, 7590/7096 is 6/2888072.