GCF of 6950/507, 6571/2649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6950/507, 6571/2649 i.e 1/447681 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6950/507, 6571/2649.
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 6950/507,6571/2649?
Given fractions are 6950/507,6571/2649
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 6950/507,6571/2649, numerators are 6950,6571
Denominators are 507,2649
The GCF of 6950,6571 is 1 .
LCM of 507,2649 is 447681.
The greatest common factor of 6950/507,6571/2649 = [GCF of 6950,6571]/[LCM of 507,2649]= 1/447681
Therefore, the GCF of 6950/507,6571/2649 is 1/447681.
To find the highest common factor of 6950,6571, we have to find the factors of both numbers and list the highest common factor.
The factors of 6950 are 1, 2, 5, 10, 25, 50, 139, 278, 695, 1390, 3475, 6950
The factors of 6571 are 1, 6571
The HCF of 6950,6571 is 1.
Lets's calculate GCF of 6950,6571
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6950,6571 By Matching Biggest Common Factor Method
Now, list down the factors of 6950
:1,2,5,10,25,50,139,278,695,1390,3475,6950
Now, list down the factors of 6571
:1,6571
Greatest Common Factor
We found the factors 6950,6571 . The biggest common factor number is the GCF number.
So the greatest common factor 6950,6571 is 1.
Lets's calculate LCM of 507,2649
| 3 | 507, 2649 |
| 169, 883 |
∴ So the LCM of the given numbers is 3 x 169 x 883 = 447681
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/447681
Therefore, the GCF of Fractions 6950/507,6571/2649 is 1/447681
Least Common Multiple of 507,2649 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 507,2649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,2649) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,2649) x common factors =3 x 1 = 3
LCM(507,2649) = ( 507 × 2649 ) / 3
LCM(507,2649) = 1343043 / 3
LCM(507,2649) = 447681
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FAQs on GCF of Fractions of 6950/507, 6571/2649
1. What is the HCF of 6950,6571?
The HCF of 6950,6571 is 1
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 6950/507, 6571/2649?
Answer: GCF of Numerators as per given numbers 6950/507, 6571/2649 is
GCF of Numerators i.e. for 6950,6571 is 1
LCM of denominators i.e. for 507,2649 is 447681.
Thus, GCF of Fractions is 1/447681.Finally, GCF of Fractions for 6950/507, 6571/2649 is 1/447681.