GCF of 3285/242, 8067/773
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3285/242, 8067/773 i.e 3/187066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3285/242, 8067/773.
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 3285/242,8067/773?
Given fractions are 3285/242,8067/773
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 3285/242,8067/773, numerators are 3285,8067
Denominators are 242,773
The GCF of 3285,8067 is 3 .
LCM of 242,773 is 187066.
The greatest common factor of 3285/242,8067/773 = [GCF of 3285,8067]/[LCM of 242,773]= 3/187066
Therefore, the GCF of 3285/242,8067/773 is 3/187066.
To find the highest common factor of 3285,8067, we have to find the factors of both numbers and list the highest common factor.
The factors of 3285 are 1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285
The factors of 8067 are 1, 3, 2689, 8067
The HCF of 3285,8067 is 3.
Lets's calculate GCF of 3285,8067
| 3 | 3285, 8067 |
| 1095, 2689 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3285,8067 By Matching Biggest Common Factor Method
Now, list down the factors of 3285
:1,3,5,9,15,45,73,219,365,657,1095,3285
Now, list down the factors of 8067
:1,3,2689,8067
Greatest Common Factor
We found the factors 3285,8067 . The biggest common factor number is the GCF number.
So the greatest common factor 3285,8067 is 3.
Lets's calculate LCM of 242,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 187066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/187066
Therefore, the GCF of Fractions 3285/242,8067/773 is 3/187066
Least Common Multiple of 242,773 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 242,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(242,773) x common factors =1 x 1 = 1
LCM(242,773) = ( 242 × 773 ) / 1
LCM(242,773) = 187066 / 1
LCM(242,773) = 187066
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FAQs on GCF of Fractions of 3285/242, 8067/773
1. What is the HCF of 3285,8067?
The HCF of 3285,8067 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 3285/242, 8067/773?
Answer: GCF of Numerators as per given numbers 3285/242, 8067/773 is
GCF of Numerators i.e. for 3285,8067 is 3
LCM of denominators i.e. for 242,773 is 187066.
Thus, GCF of Fractions is 3/187066.Finally, GCF of Fractions for 3285/242, 8067/773 is 3/187066.