GCF of 5438/292, 3059/8966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5438/292, 3059/8966 i.e 1/1309036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5438/292, 3059/8966.
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 5438/292,3059/8966?
Given fractions are 5438/292,3059/8966
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 5438/292,3059/8966, numerators are 5438,3059
Denominators are 292,8966
The GCF of 5438,3059 is 1 .
LCM of 292,8966 is 1309036.
The greatest common factor of 5438/292,3059/8966 = [GCF of 5438,3059]/[LCM of 292,8966]= 1/1309036
Therefore, the GCF of 5438/292,3059/8966 is 1/1309036.
To find the highest common factor of 5438,3059, we have to find the factors of both numbers and list the highest common factor.
The factors of 5438 are 1, 2, 2719, 5438
The factors of 3059 are 1, 7, 19, 23, 133, 161, 437, 3059
The HCF of 5438,3059 is 1.
Lets's calculate GCF of 5438,3059
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5438,3059 By Matching Biggest Common Factor Method
Now, list down the factors of 5438
:1,2,2719,5438
Now, list down the factors of 3059
:1,7,19,23,133,161,437,3059
Greatest Common Factor
We found the factors 5438,3059 . The biggest common factor number is the GCF number.
So the greatest common factor 5438,3059 is 1.
Lets's calculate LCM of 292,8966
| 2 | 292, 8966 |
| 146, 4483 |
∴ So the LCM of the given numbers is 2 x 146 x 4483 = 1309036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1309036
Therefore, the GCF of Fractions 5438/292,3059/8966 is 1/1309036
Least Common Multiple of 292,8966 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 292,8966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,8966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(292,8966) x common factors =2 x 1 = 2
LCM(292,8966) = ( 292 × 8966 ) / 2
LCM(292,8966) = 2618072 / 2
LCM(292,8966) = 1309036
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FAQs on GCF of Fractions of 5438/292, 3059/8966
1. What is the HCF of 5438,3059?
The HCF of 5438,3059 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 5438/292, 3059/8966?
Answer: GCF of Numerators as per given numbers 5438/292, 3059/8966 is
GCF of Numerators i.e. for 5438,3059 is 1
LCM of denominators i.e. for 292,8966 is 1309036.
Thus, GCF of Fractions is 1/1309036.Finally, GCF of Fractions for 5438/292, 3059/8966 is 1/1309036.