GCF of 5231/645, 7318/6651
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5231/645, 7318/6651 i.e 1/1429965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5231/645, 7318/6651.
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 5231/645,7318/6651?
Given fractions are 5231/645,7318/6651
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 5231/645,7318/6651, numerators are 5231,7318
Denominators are 645,6651
The GCF of 5231,7318 is 1 .
LCM of 645,6651 is 1429965.
The greatest common factor of 5231/645,7318/6651 = [GCF of 5231,7318]/[LCM of 645,6651]= 1/1429965
Therefore, the GCF of 5231/645,7318/6651 is 1/1429965.
To find the highest common factor of 5231,7318, we have to find the factors of both numbers and list the highest common factor.
The factors of 5231 are 1, 5231
The factors of 7318 are 1, 2, 3659, 7318
The HCF of 5231,7318 is 1.
Lets's calculate GCF of 5231,7318
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5231,7318 By Matching Biggest Common Factor Method
Now, list down the factors of 5231
:1,5231
Now, list down the factors of 7318
:1,2,3659,7318
Greatest Common Factor
We found the factors 5231,7318 . The biggest common factor number is the GCF number.
So the greatest common factor 5231,7318 is 1.
Lets's calculate LCM of 645,6651
| 3 | 645, 6651 |
| 215, 2217 |
∴ So the LCM of the given numbers is 3 x 215 x 2217 = 1429965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1429965
Therefore, the GCF of Fractions 5231/645,7318/6651 is 1/1429965
Least Common Multiple of 645,6651 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 645,6651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,6651) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(645,6651) x common factors =3 x 1 = 3
LCM(645,6651) = ( 645 × 6651 ) / 3
LCM(645,6651) = 4289895 / 3
LCM(645,6651) = 1429965
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FAQs on GCF of Fractions of 5231/645, 7318/6651
1. What is the HCF of 5231,7318?
The HCF of 5231,7318 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 5231/645, 7318/6651?
Answer: GCF of Numerators as per given numbers 5231/645, 7318/6651 is
GCF of Numerators i.e. for 5231,7318 is 1
LCM of denominators i.e. for 645,6651 is 1429965.
Thus, GCF of Fractions is 1/1429965.Finally, GCF of Fractions for 5231/645, 7318/6651 is 1/1429965.