GCF of 8314/773, 8482/5505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8314/773, 8482/5505 i.e 2/4255365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8314/773, 8482/5505.
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 8314/773,8482/5505?
Given fractions are 8314/773,8482/5505
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 8314/773,8482/5505, numerators are 8314,8482
Denominators are 773,5505
The GCF of 8314,8482 is 2 .
LCM of 773,5505 is 4255365.
The greatest common factor of 8314/773,8482/5505 = [GCF of 8314,8482]/[LCM of 773,5505]= 2/4255365
Therefore, the GCF of 8314/773,8482/5505 is 2/4255365.
To find the highest common factor of 8314,8482, we have to find the factors of both numbers and list the highest common factor.
The factors of 8314 are 1, 2, 4157, 8314
The factors of 8482 are 1, 2, 4241, 8482
The HCF of 8314,8482 is 2.
Lets's calculate GCF of 8314,8482
| 2 | 8314, 8482 |
| 4157, 4241 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8314,8482 By Matching Biggest Common Factor Method
Now, list down the factors of 8314
:1,2,4157,8314
Now, list down the factors of 8482
:1,2,4241,8482
Greatest Common Factor
We found the factors 8314,8482 . The biggest common factor number is the GCF number.
So the greatest common factor 8314,8482 is 2.
Lets's calculate LCM of 773,5505
Given numbers has no common factors except 1. So, there LCM is their product i.e 4255365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4255365
Therefore, the GCF of Fractions 8314/773,8482/5505 is 2/4255365
Least Common Multiple of 773,5505 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 773,5505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,5505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,5505) x common factors =1 x 1 = 1
LCM(773,5505) = ( 773 × 5505 ) / 1
LCM(773,5505) = 4255365 / 1
LCM(773,5505) = 4255365
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FAQs on GCF of Fractions of 8314/773, 8482/5505
1. What is the HCF of 8314,8482?
The HCF of 8314,8482 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 8314/773, 8482/5505?
Answer: GCF of Numerators as per given numbers 8314/773, 8482/5505 is
GCF of Numerators i.e. for 8314,8482 is 2
LCM of denominators i.e. for 773,5505 is 4255365.
Thus, GCF of Fractions is 2/4255365.Finally, GCF of Fractions for 8314/773, 8482/5505 is 2/4255365.