GCF of 2944/204, 8635/5557
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2944/204, 8635/5557 i.e 1/1133628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2944/204, 8635/5557.
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 2944/204,8635/5557?
Given fractions are 2944/204,8635/5557
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 2944/204,8635/5557, numerators are 2944,8635
Denominators are 204,5557
The GCF of 2944,8635 is 1 .
LCM of 204,5557 is 1133628.
The greatest common factor of 2944/204,8635/5557 = [GCF of 2944,8635]/[LCM of 204,5557]= 1/1133628
Therefore, the GCF of 2944/204,8635/5557 is 1/1133628.
To find the highest common factor of 2944,8635, we have to find the factors of both numbers and list the highest common factor.
The factors of 2944 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 368, 736, 1472, 2944
The factors of 8635 are 1, 5, 11, 55, 157, 785, 1727, 8635
The HCF of 2944,8635 is 1.
Lets's calculate GCF of 2944,8635
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2944,8635 By Matching Biggest Common Factor Method
Now, list down the factors of 2944
:1,2,4,8,16,23,32,46,64,92,128,184,368,736,1472,2944
Now, list down the factors of 8635
:1,5,11,55,157,785,1727,8635
Greatest Common Factor
We found the factors 2944,8635 . The biggest common factor number is the GCF number.
So the greatest common factor 2944,8635 is 1.
Lets's calculate LCM of 204,5557
Given numbers has no common factors except 1. So, there LCM is their product i.e 1133628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1133628
Therefore, the GCF of Fractions 2944/204,8635/5557 is 1/1133628
Least Common Multiple of 204,5557 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 204,5557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,5557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(204,5557) x common factors =1 x 1 = 1
LCM(204,5557) = ( 204 × 5557 ) / 1
LCM(204,5557) = 1133628 / 1
LCM(204,5557) = 1133628
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FAQs on GCF of Fractions of 2944/204, 8635/5557
1. What is the HCF of 2944,8635?
The HCF of 2944,8635 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 2944/204, 8635/5557?
Answer: GCF of Numerators as per given numbers 2944/204, 8635/5557 is
GCF of Numerators i.e. for 2944,8635 is 1
LCM of denominators i.e. for 204,5557 is 1133628.
Thus, GCF of Fractions is 1/1133628.Finally, GCF of Fractions for 2944/204, 8635/5557 is 1/1133628.