GCF of 3462/507, 6247/3291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3462/507, 6247/3291 i.e 1/556179 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3462/507, 6247/3291.
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 3462/507,6247/3291?
Given fractions are 3462/507,6247/3291
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 3462/507,6247/3291, numerators are 3462,6247
Denominators are 507,3291
The GCF of 3462,6247 is 1 .
LCM of 507,3291 is 556179.
The greatest common factor of 3462/507,6247/3291 = [GCF of 3462,6247]/[LCM of 507,3291]= 1/556179
Therefore, the GCF of 3462/507,6247/3291 is 1/556179.
To find the highest common factor of 3462,6247, we have to find the factors of both numbers and list the highest common factor.
The factors of 3462 are 1, 2, 3, 6, 577, 1154, 1731, 3462
The factors of 6247 are 1, 6247
The HCF of 3462,6247 is 1.
Lets's calculate GCF of 3462,6247
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3462,6247 By Matching Biggest Common Factor Method
Now, list down the factors of 3462
:1,2,3,6,577,1154,1731,3462
Now, list down the factors of 6247
:1,6247
Greatest Common Factor
We found the factors 3462,6247 . The biggest common factor number is the GCF number.
So the greatest common factor 3462,6247 is 1.
Lets's calculate LCM of 507,3291
| 3 | 507, 3291 |
| 169, 1097 |
∴ So the LCM of the given numbers is 3 x 169 x 1097 = 556179
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/556179
Therefore, the GCF of Fractions 3462/507,6247/3291 is 1/556179
Least Common Multiple of 507,3291 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 507,3291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,3291) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,3291) x common factors =3 x 1 = 3
LCM(507,3291) = ( 507 × 3291 ) / 3
LCM(507,3291) = 1668537 / 3
LCM(507,3291) = 556179
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FAQs on GCF of Fractions of 3462/507, 6247/3291
1. What is the HCF of 3462,6247?
The HCF of 3462,6247 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 3462/507, 6247/3291?
Answer: GCF of Numerators as per given numbers 3462/507, 6247/3291 is
GCF of Numerators i.e. for 3462,6247 is 1
LCM of denominators i.e. for 507,3291 is 556179.
Thus, GCF of Fractions is 1/556179.Finally, GCF of Fractions for 3462/507, 6247/3291 is 1/556179.