GCF of 5259/634, 6465/2068
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5259/634, 6465/2068 i.e 3/655556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5259/634, 6465/2068.
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 5259/634,6465/2068?
Given fractions are 5259/634,6465/2068
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 5259/634,6465/2068, numerators are 5259,6465
Denominators are 634,2068
The GCF of 5259,6465 is 3 .
LCM of 634,2068 is 655556.
The greatest common factor of 5259/634,6465/2068 = [GCF of 5259,6465]/[LCM of 634,2068]= 3/655556
Therefore, the GCF of 5259/634,6465/2068 is 3/655556.
To find the highest common factor of 5259,6465, we have to find the factors of both numbers and list the highest common factor.
The factors of 5259 are 1, 3, 1753, 5259
The factors of 6465 are 1, 3, 5, 15, 431, 1293, 2155, 6465
The HCF of 5259,6465 is 3.
Lets's calculate GCF of 5259,6465
| 3 | 5259, 6465 |
| 1753, 2155 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5259,6465 By Matching Biggest Common Factor Method
Now, list down the factors of 5259
:1,3,1753,5259
Now, list down the factors of 6465
:1,3,5,15,431,1293,2155,6465
Greatest Common Factor
We found the factors 5259,6465 . The biggest common factor number is the GCF number.
So the greatest common factor 5259,6465 is 3.
Lets's calculate LCM of 634,2068
| 2 | 634, 2068 |
| 317, 1034 |
∴ So the LCM of the given numbers is 2 x 317 x 1034 = 655556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/655556
Therefore, the GCF of Fractions 5259/634,6465/2068 is 3/655556
Least Common Multiple of 634,2068 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 634,2068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,2068) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,2068) x common factors =2 x 1 = 2
LCM(634,2068) = ( 634 × 2068 ) / 2
LCM(634,2068) = 1311112 / 2
LCM(634,2068) = 655556
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FAQs on GCF of Fractions of 5259/634, 6465/2068
1. What is the HCF of 5259,6465?
The HCF of 5259,6465 is 3
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 5259/634, 6465/2068?
Answer: GCF of Numerators as per given numbers 5259/634, 6465/2068 is
GCF of Numerators i.e. for 5259,6465 is 3
LCM of denominators i.e. for 634,2068 is 655556.
Thus, GCF of Fractions is 3/655556.Finally, GCF of Fractions for 5259/634, 6465/2068 is 3/655556.