GCF of 2984/274, 3711/7387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2984/274, 3711/7387 i.e 1/2024038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2984/274, 3711/7387.
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 2984/274,3711/7387?
Given fractions are 2984/274,3711/7387
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 2984/274,3711/7387, numerators are 2984,3711
Denominators are 274,7387
The GCF of 2984,3711 is 1 .
LCM of 274,7387 is 2024038.
The greatest common factor of 2984/274,3711/7387 = [GCF of 2984,3711]/[LCM of 274,7387]= 1/2024038
Therefore, the GCF of 2984/274,3711/7387 is 1/2024038.
To find the highest common factor of 2984,3711, we have to find the factors of both numbers and list the highest common factor.
The factors of 2984 are 1, 2, 4, 8, 373, 746, 1492, 2984
The factors of 3711 are 1, 3, 1237, 3711
The HCF of 2984,3711 is 1.
Lets's calculate GCF of 2984,3711
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2984,3711 By Matching Biggest Common Factor Method
Now, list down the factors of 2984
:1,2,4,8,373,746,1492,2984
Now, list down the factors of 3711
:1,3,1237,3711
Greatest Common Factor
We found the factors 2984,3711 . The biggest common factor number is the GCF number.
So the greatest common factor 2984,3711 is 1.
Lets's calculate LCM of 274,7387
Given numbers has no common factors except 1. So, there LCM is their product i.e 2024038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2024038
Therefore, the GCF of Fractions 2984/274,3711/7387 is 1/2024038
Least Common Multiple of 274,7387 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 274,7387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,7387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(274,7387) x common factors =1 x 1 = 1
LCM(274,7387) = ( 274 × 7387 ) / 1
LCM(274,7387) = 2024038 / 1
LCM(274,7387) = 2024038
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FAQs on GCF of Fractions of 2984/274, 3711/7387
1. What is the HCF of 2984,3711?
The HCF of 2984,3711 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 2984/274, 3711/7387?
Answer: GCF of Numerators as per given numbers 2984/274, 3711/7387 is
GCF of Numerators i.e. for 2984,3711 is 1
LCM of denominators i.e. for 274,7387 is 2024038.
Thus, GCF of Fractions is 1/2024038.Finally, GCF of Fractions for 2984/274, 3711/7387 is 1/2024038.