GCF of 2285/962, 8186/7776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2285/962, 8186/7776 i.e 1/3740256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2285/962, 8186/7776.
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 2285/962,8186/7776?
Given fractions are 2285/962,8186/7776
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 2285/962,8186/7776, numerators are 2285,8186
Denominators are 962,7776
The GCF of 2285,8186 is 1 .
LCM of 962,7776 is 3740256.
The greatest common factor of 2285/962,8186/7776 = [GCF of 2285,8186]/[LCM of 962,7776]= 1/3740256
Therefore, the GCF of 2285/962,8186/7776 is 1/3740256.
To find the highest common factor of 2285,8186, we have to find the factors of both numbers and list the highest common factor.
The factors of 2285 are 1, 5, 457, 2285
The factors of 8186 are 1, 2, 4093, 8186
The HCF of 2285,8186 is 1.
Lets's calculate GCF of 2285,8186
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2285,8186 By Matching Biggest Common Factor Method
Now, list down the factors of 2285
:1,5,457,2285
Now, list down the factors of 8186
:1,2,4093,8186
Greatest Common Factor
We found the factors 2285,8186 . The biggest common factor number is the GCF number.
So the greatest common factor 2285,8186 is 1.
Lets's calculate LCM of 962,7776
| 2 | 962, 7776 |
| 481, 3888 |
∴ So the LCM of the given numbers is 2 x 481 x 3888 = 3740256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3740256
Therefore, the GCF of Fractions 2285/962,8186/7776 is 1/3740256
Least Common Multiple of 962,7776 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 962,7776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,7776) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(962,7776) x common factors =2 x 1 = 2
LCM(962,7776) = ( 962 × 7776 ) / 2
LCM(962,7776) = 7480512 / 2
LCM(962,7776) = 3740256
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FAQs on GCF of Fractions of 2285/962, 8186/7776
1. What is the HCF of 2285,8186?
The HCF of 2285,8186 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 2285/962, 8186/7776?
Answer: GCF of Numerators as per given numbers 2285/962, 8186/7776 is
GCF of Numerators i.e. for 2285,8186 is 1
LCM of denominators i.e. for 962,7776 is 3740256.
Thus, GCF of Fractions is 1/3740256.Finally, GCF of Fractions for 2285/962, 8186/7776 is 1/3740256.