GCF of 902/457, 326/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 902/457, 326/916 i.e 2/418612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/457, 326/916.
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 902/457,326/916?
Given fractions are 902/457,326/916
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 902/457,326/916, numerators are 902,326
Denominators are 457,916
The GCF of 902,326 is 2 .
LCM of 457,916 is 418612.
The greatest common factor of 902/457,326/916 = [GCF of 902,326]/[LCM of 457,916]= 2/418612
Therefore, the GCF of 902/457,326/916 is 2/418612.
To find the highest common factor of 902,326, we have to find the factors of both numbers and list the highest common factor.
The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902
The factors of 326 are 1, 2, 163, 326
The HCF of 902,326 is 2.
Lets's calculate GCF of 902,326
| 2 | 902, 326 |
| 451, 163 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 902,326 By Matching Biggest Common Factor Method
Now, list down the factors of 902
:1,2,11,22,41,82,451,902
Now, list down the factors of 326
:1,2,163,326
Greatest Common Factor
We found the factors 902,326 . The biggest common factor number is the GCF number.
So the greatest common factor 902,326 is 2.
Lets's calculate LCM of 457,916
Given numbers has no common factors except 1. So, there LCM is their product i.e 418612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/418612
Therefore, the GCF of Fractions 902/457,326/916 is 2/418612
Least Common Multiple of 457,916 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 457,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,916) x common factors =1 x 1 = 1
LCM(457,916) = ( 457 × 916 ) / 1
LCM(457,916) = 418612 / 1
LCM(457,916) = 418612
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FAQs on GCF of Fractions of 902/457, 326/916
1. What is the HCF of 902,326?
The HCF of 902,326 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 902/457, 326/916?
Answer: GCF of Numerators as per given numbers 902/457, 326/916 is
GCF of Numerators i.e. for 902,326 is 2
LCM of denominators i.e. for 457,916 is 418612.
Thus, GCF of Fractions is 2/418612.Finally, GCF of Fractions for 902/457, 326/916 is 2/418612.