GCF of 6722/507, 5028/3031
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6722/507, 5028/3031 i.e 2/1536717 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6722/507, 5028/3031.
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 6722/507,5028/3031?
Given fractions are 6722/507,5028/3031
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 6722/507,5028/3031, numerators are 6722,5028
Denominators are 507,3031
The GCF of 6722,5028 is 2 .
LCM of 507,3031 is 1536717.
The greatest common factor of 6722/507,5028/3031 = [GCF of 6722,5028]/[LCM of 507,3031]= 2/1536717
Therefore, the GCF of 6722/507,5028/3031 is 2/1536717.
To find the highest common factor of 6722,5028, we have to find the factors of both numbers and list the highest common factor.
The factors of 6722 are 1, 2, 3361, 6722
The factors of 5028 are 1, 2, 3, 4, 6, 12, 419, 838, 1257, 1676, 2514, 5028
The HCF of 6722,5028 is 2.
Lets's calculate GCF of 6722,5028
| 2 | 6722, 5028 |
| 3361, 2514 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6722,5028 By Matching Biggest Common Factor Method
Now, list down the factors of 6722
:1,2,3361,6722
Now, list down the factors of 5028
:1,2,3,4,6,12,419,838,1257,1676,2514,5028
Greatest Common Factor
We found the factors 6722,5028 . The biggest common factor number is the GCF number.
So the greatest common factor 6722,5028 is 2.
Lets's calculate LCM of 507,3031
Given numbers has no common factors except 1. So, there LCM is their product i.e 1536717
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1536717
Therefore, the GCF of Fractions 6722/507,5028/3031 is 2/1536717
Least Common Multiple of 507,3031 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 507,3031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,3031) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,3031) x common factors =1 x 1 = 1
LCM(507,3031) = ( 507 × 3031 ) / 1
LCM(507,3031) = 1536717 / 1
LCM(507,3031) = 1536717
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FAQs on GCF of Fractions of 6722/507, 5028/3031
1. What is the HCF of 6722,5028?
The HCF of 6722,5028 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 6722/507, 5028/3031?
Answer: GCF of Numerators as per given numbers 6722/507, 5028/3031 is
GCF of Numerators i.e. for 6722,5028 is 2
LCM of denominators i.e. for 507,3031 is 1536717.
Thus, GCF of Fractions is 2/1536717.Finally, GCF of Fractions for 6722/507, 5028/3031 is 2/1536717.