GCF of 4460/514, 6520/6051
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4460/514, 6520/6051 i.e 20/3110214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4460/514, 6520/6051.
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 4460/514,6520/6051?
Given fractions are 4460/514,6520/6051
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 4460/514,6520/6051, numerators are 4460,6520
Denominators are 514,6051
The GCF of 4460,6520 is 20 .
LCM of 514,6051 is 3110214.
The greatest common factor of 4460/514,6520/6051 = [GCF of 4460,6520]/[LCM of 514,6051]= 20/3110214
Therefore, the GCF of 4460/514,6520/6051 is 20/3110214.
To find the highest common factor of 4460,6520, we have to find the factors of both numbers and list the highest common factor.
The factors of 4460 are 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230, 4460
The factors of 6520 are 1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520
The HCF of 4460,6520 is 20.
Lets's calculate GCF of 4460,6520
| 2 | 4460, 6520 |
| 2 | 2230, 3260 |
| 5 | 1115, 1630 |
| 223, 326 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 4460,6520 By Matching Biggest Common Factor Method
Now, list down the factors of 4460
:1,2,4,5,10,20,223,446,892,1115,2230,4460
Now, list down the factors of 6520
:1,2,4,5,8,10,20,40,163,326,652,815,1304,1630,3260,6520
Greatest Common Factor
We found the factors 4460,6520 . The biggest common factor number is the GCF number.
So the greatest common factor 4460,6520 is 20.
Lets's calculate LCM of 514,6051
Given numbers has no common factors except 1. So, there LCM is their product i.e 3110214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/3110214
Therefore, the GCF of Fractions 4460/514,6520/6051 is 20/3110214
Least Common Multiple of 514,6051 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 514,6051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,6051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,6051) x common factors =1 x 1 = 1
LCM(514,6051) = ( 514 × 6051 ) / 1
LCM(514,6051) = 3110214 / 1
LCM(514,6051) = 3110214
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FAQs on GCF of Fractions of 4460/514, 6520/6051
1. What is the HCF of 4460,6520?
The HCF of 4460,6520 is 20
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 4460/514, 6520/6051?
Answer: GCF of Numerators as per given numbers 4460/514, 6520/6051 is
GCF of Numerators i.e. for 4460,6520 is 20
LCM of denominators i.e. for 514,6051 is 3110214.
Thus, GCF of Fractions is 20/3110214.Finally, GCF of Fractions for 4460/514, 6520/6051 is 20/3110214.