GCF of 255/240, 7460/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 255/240, 7460/814 i.e 5/97680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 255/240, 7460/814.
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 255/240,7460/814?
Given fractions are 255/240,7460/814
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 255/240,7460/814, numerators are 255,7460
Denominators are 240,814
The GCF of 255,7460 is 5 .
LCM of 240,814 is 97680.
The greatest common factor of 255/240,7460/814 = [GCF of 255,7460]/[LCM of 240,814]= 5/97680
Therefore, the GCF of 255/240,7460/814 is 5/97680.
To find the highest common factor of 255,7460, we have to find the factors of both numbers and list the highest common factor.
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The factors of 7460 are 1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, 7460
The HCF of 255,7460 is 5.
Lets's calculate GCF of 255,7460
| 5 | 255, 7460 |
| 51, 1492 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 255,7460 By Matching Biggest Common Factor Method
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Now, list down the factors of 7460
:1,2,4,5,10,20,373,746,1492,1865,3730,7460
Greatest Common Factor
We found the factors 255,7460 . The biggest common factor number is the GCF number.
So the greatest common factor 255,7460 is 5.
Lets's calculate LCM of 240,814
| 2 | 240, 814 |
| 120, 407 |
∴ So the LCM of the given numbers is 2 x 120 x 407 = 97680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/97680
Therefore, the GCF of Fractions 255/240,7460/814 is 5/97680
Least Common Multiple of 240,814 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 240,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(240,814) x common factors =2 x 1 = 2
LCM(240,814) = ( 240 × 814 ) / 2
LCM(240,814) = 195360 / 2
LCM(240,814) = 97680
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FAQs on GCF of Fractions of 255/240, 7460/814
1. What is the HCF of 255,7460?
The HCF of 255,7460 is 5
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 255/240, 7460/814?
Answer: GCF of Numerators as per given numbers 255/240, 7460/814 is
GCF of Numerators i.e. for 255,7460 is 5
LCM of denominators i.e. for 240,814 is 97680.
Thus, GCF of Fractions is 5/97680.Finally, GCF of Fractions for 255/240, 7460/814 is 5/97680.