GCF of 2242/656, 9739/3583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2242/656, 9739/3583 i.e 1/2350448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2242/656, 9739/3583.
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 2242/656,9739/3583?
Given fractions are 2242/656,9739/3583
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 2242/656,9739/3583, numerators are 2242,9739
Denominators are 656,3583
The GCF of 2242,9739 is 1 .
LCM of 656,3583 is 2350448.
The greatest common factor of 2242/656,9739/3583 = [GCF of 2242,9739]/[LCM of 656,3583]= 1/2350448
Therefore, the GCF of 2242/656,9739/3583 is 1/2350448.
To find the highest common factor of 2242,9739, we have to find the factors of both numbers and list the highest common factor.
The factors of 2242 are 1, 2, 19, 38, 59, 118, 1121, 2242
The factors of 9739 are 1, 9739
The HCF of 2242,9739 is 1.
Lets's calculate GCF of 2242,9739
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2242,9739 By Matching Biggest Common Factor Method
Now, list down the factors of 2242
:1,2,19,38,59,118,1121,2242
Now, list down the factors of 9739
:1,9739
Greatest Common Factor
We found the factors 2242,9739 . The biggest common factor number is the GCF number.
So the greatest common factor 2242,9739 is 1.
Lets's calculate LCM of 656,3583
Given numbers has no common factors except 1. So, there LCM is their product i.e 2350448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2350448
Therefore, the GCF of Fractions 2242/656,9739/3583 is 1/2350448
Least Common Multiple of 656,3583 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 656,3583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,3583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,3583) x common factors =1 x 1 = 1
LCM(656,3583) = ( 656 × 3583 ) / 1
LCM(656,3583) = 2350448 / 1
LCM(656,3583) = 2350448
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FAQs on GCF of Fractions of 2242/656, 9739/3583
1. What is the HCF of 2242,9739?
The HCF of 2242,9739 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 2242/656, 9739/3583?
Answer: GCF of Numerators as per given numbers 2242/656, 9739/3583 is
GCF of Numerators i.e. for 2242,9739 is 1
LCM of denominators i.e. for 656,3583 is 2350448.
Thus, GCF of Fractions is 1/2350448.Finally, GCF of Fractions for 2242/656, 9739/3583 is 1/2350448.