GCF of 502/809, 312/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 502/809, 312/686 i.e 2/554974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 502/809, 312/686.
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 502/809,312/686?
Given fractions are 502/809,312/686
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 502/809,312/686, numerators are 502,312
Denominators are 809,686
The GCF of 502,312 is 2 .
LCM of 809,686 is 554974.
The greatest common factor of 502/809,312/686 = [GCF of 502,312]/[LCM of 809,686]= 2/554974
Therefore, the GCF of 502/809,312/686 is 2/554974.
To find the highest common factor of 502,312, we have to find the factors of both numbers and list the highest common factor.
The factors of 502 are 1, 2, 251, 502
The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The HCF of 502,312 is 2.
Lets's calculate GCF of 502,312
| 2 | 502, 312 |
| 251, 156 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 502,312 By Matching Biggest Common Factor Method
Now, list down the factors of 502
:1,2,251,502
Now, list down the factors of 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 502,312 . The biggest common factor number is the GCF number.
So the greatest common factor 502,312 is 2.
Lets's calculate LCM of 809,686
Given numbers has no common factors except 1. So, there LCM is their product i.e 554974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/554974
Therefore, the GCF of Fractions 502/809,312/686 is 2/554974
Least Common Multiple of 809,686 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 809,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,686) x common factors =1 x 1 = 1
LCM(809,686) = ( 809 × 686 ) / 1
LCM(809,686) = 554974 / 1
LCM(809,686) = 554974
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FAQs on GCF of Fractions of 502/809, 312/686
1. What is the HCF of 502,312?
The HCF of 502,312 is 2
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 502/809, 312/686?
Answer: GCF of Numerators as per given numbers 502/809, 312/686 is
GCF of Numerators i.e. for 502,312 is 2
LCM of denominators i.e. for 809,686 is 554974.
Thus, GCF of Fractions is 2/554974.Finally, GCF of Fractions for 502/809, 312/686 is 2/554974.