GCF of 3121/173, 7222/1784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3121/173, 7222/1784 i.e 1/308632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3121/173, 7222/1784.
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 3121/173,7222/1784?
Given fractions are 3121/173,7222/1784
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 3121/173,7222/1784, numerators are 3121,7222
Denominators are 173,1784
The GCF of 3121,7222 is 1 .
LCM of 173,1784 is 308632.
The greatest common factor of 3121/173,7222/1784 = [GCF of 3121,7222]/[LCM of 173,1784]= 1/308632
Therefore, the GCF of 3121/173,7222/1784 is 1/308632.
To find the highest common factor of 3121,7222, we have to find the factors of both numbers and list the highest common factor.
The factors of 3121 are 1, 3121
The factors of 7222 are 1, 2, 23, 46, 157, 314, 3611, 7222
The HCF of 3121,7222 is 1.
Lets's calculate GCF of 3121,7222
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3121,7222 By Matching Biggest Common Factor Method
Now, list down the factors of 3121
:1,3121
Now, list down the factors of 7222
:1,2,23,46,157,314,3611,7222
Greatest Common Factor
We found the factors 3121,7222 . The biggest common factor number is the GCF number.
So the greatest common factor 3121,7222 is 1.
Lets's calculate LCM of 173,1784
Given numbers has no common factors except 1. So, there LCM is their product i.e 308632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308632
Therefore, the GCF of Fractions 3121/173,7222/1784 is 1/308632
Least Common Multiple of 173,1784 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 173,1784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,1784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,1784) x common factors =1 x 1 = 1
LCM(173,1784) = ( 173 × 1784 ) / 1
LCM(173,1784) = 308632 / 1
LCM(173,1784) = 308632
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FAQs on GCF of Fractions of 3121/173, 7222/1784
1. What is the HCF of 3121,7222?
The HCF of 3121,7222 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 3121/173, 7222/1784?
Answer: GCF of Numerators as per given numbers 3121/173, 7222/1784 is
GCF of Numerators i.e. for 3121,7222 is 1
LCM of denominators i.e. for 173,1784 is 308632.
Thus, GCF of Fractions is 1/308632.Finally, GCF of Fractions for 3121/173, 7222/1784 is 1/308632.