GCF of 7260/740, 1814/6407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7260/740, 1814/6407 i.e 2/4741180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7260/740, 1814/6407.
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 7260/740,1814/6407?
Given fractions are 7260/740,1814/6407
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 7260/740,1814/6407, numerators are 7260,1814
Denominators are 740,6407
The GCF of 7260,1814 is 2 .
LCM of 740,6407 is 4741180.
The greatest common factor of 7260/740,1814/6407 = [GCF of 7260,1814]/[LCM of 740,6407]= 2/4741180
Therefore, the GCF of 7260/740,1814/6407 is 2/4741180.
To find the highest common factor of 7260,1814, we have to find the factors of both numbers and list the highest common factor.
The factors of 7260 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1452, 1815, 2420, 3630, 7260
The factors of 1814 are 1, 2, 907, 1814
The HCF of 7260,1814 is 2.
Lets's calculate GCF of 7260,1814
| 2 | 7260, 1814 |
| 3630, 907 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7260,1814 By Matching Biggest Common Factor Method
Now, list down the factors of 7260
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260
Now, list down the factors of 1814
:1,2,907,1814
Greatest Common Factor
We found the factors 7260,1814 . The biggest common factor number is the GCF number.
So the greatest common factor 7260,1814 is 2.
Lets's calculate LCM of 740,6407
Given numbers has no common factors except 1. So, there LCM is their product i.e 4741180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4741180
Therefore, the GCF of Fractions 7260/740,1814/6407 is 2/4741180
Least Common Multiple of 740,6407 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 740,6407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,6407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(740,6407) x common factors =1 x 1 = 1
LCM(740,6407) = ( 740 × 6407 ) / 1
LCM(740,6407) = 4741180 / 1
LCM(740,6407) = 4741180
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FAQs on GCF of Fractions of 7260/740, 1814/6407
1. What is the HCF of 7260,1814?
The HCF of 7260,1814 is 2
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 7260/740, 1814/6407?
Answer: GCF of Numerators as per given numbers 7260/740, 1814/6407 is
GCF of Numerators i.e. for 7260,1814 is 2
LCM of denominators i.e. for 740,6407 is 4741180.
Thus, GCF of Fractions is 2/4741180.Finally, GCF of Fractions for 7260/740, 1814/6407 is 2/4741180.