GCF of 6812/490, 8577/4118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6812/490, 8577/4118 i.e 1/1008910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6812/490, 8577/4118.
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 6812/490,8577/4118?
Given fractions are 6812/490,8577/4118
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 6812/490,8577/4118, numerators are 6812,8577
Denominators are 490,4118
The GCF of 6812,8577 is 1 .
LCM of 490,4118 is 1008910.
The greatest common factor of 6812/490,8577/4118 = [GCF of 6812,8577]/[LCM of 490,4118]= 1/1008910
Therefore, the GCF of 6812/490,8577/4118 is 1/1008910.
To find the highest common factor of 6812,8577, we have to find the factors of both numbers and list the highest common factor.
The factors of 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812
The factors of 8577 are 1, 3, 9, 953, 2859, 8577
The HCF of 6812,8577 is 1.
Lets's calculate GCF of 6812,8577
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6812,8577 By Matching Biggest Common Factor Method
Now, list down the factors of 6812
:1,2,4,13,26,52,131,262,524,1703,3406,6812
Now, list down the factors of 8577
:1,3,9,953,2859,8577
Greatest Common Factor
We found the factors 6812,8577 . The biggest common factor number is the GCF number.
So the greatest common factor 6812,8577 is 1.
Lets's calculate LCM of 490,4118
| 2 | 490, 4118 |
| 245, 2059 |
∴ So the LCM of the given numbers is 2 x 245 x 2059 = 1008910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1008910
Therefore, the GCF of Fractions 6812/490,8577/4118 is 1/1008910
Least Common Multiple of 490,4118 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 490,4118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,4118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,4118) x common factors =2 x 1 = 2
LCM(490,4118) = ( 490 × 4118 ) / 2
LCM(490,4118) = 2017820 / 2
LCM(490,4118) = 1008910
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6812/490, 8577/4118
1. What is the HCF of 6812,8577?
The HCF of 6812,8577 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 6812/490, 8577/4118?
Answer: GCF of Numerators as per given numbers 6812/490, 8577/4118 is
GCF of Numerators i.e. for 6812,8577 is 1
LCM of denominators i.e. for 490,4118 is 1008910.
Thus, GCF of Fractions is 1/1008910.Finally, GCF of Fractions for 6812/490, 8577/4118 is 1/1008910.