GCF of 7007/151, 2141/7384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7007/151, 2141/7384 i.e 1/1114984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7007/151, 2141/7384.
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 7007/151,2141/7384?
Given fractions are 7007/151,2141/7384
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 7007/151,2141/7384, numerators are 7007,2141
Denominators are 151,7384
The GCF of 7007,2141 is 1 .
LCM of 151,7384 is 1114984.
The greatest common factor of 7007/151,2141/7384 = [GCF of 7007,2141]/[LCM of 151,7384]= 1/1114984
Therefore, the GCF of 7007/151,2141/7384 is 1/1114984.
To find the highest common factor of 7007,2141, we have to find the factors of both numbers and list the highest common factor.
The factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007
The factors of 2141 are 1, 2141
The HCF of 7007,2141 is 1.
Lets's calculate GCF of 7007,2141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7007,2141 By Matching Biggest Common Factor Method
Now, list down the factors of 7007
:1,7,11,13,49,77,91,143,539,637,1001,7007
Now, list down the factors of 2141
:1,2141
Greatest Common Factor
We found the factors 7007,2141 . The biggest common factor number is the GCF number.
So the greatest common factor 7007,2141 is 1.
Lets's calculate LCM of 151,7384
Given numbers has no common factors except 1. So, there LCM is their product i.e 1114984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1114984
Therefore, the GCF of Fractions 7007/151,2141/7384 is 1/1114984
Least Common Multiple of 151,7384 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 151,7384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,7384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,7384) x common factors =1 x 1 = 1
LCM(151,7384) = ( 151 × 7384 ) / 1
LCM(151,7384) = 1114984 / 1
LCM(151,7384) = 1114984
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FAQs on GCF of Fractions of 7007/151, 2141/7384
1. What is the HCF of 7007,2141?
The HCF of 7007,2141 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 7007/151, 2141/7384?
Answer: GCF of Numerators as per given numbers 7007/151, 2141/7384 is
GCF of Numerators i.e. for 7007,2141 is 1
LCM of denominators i.e. for 151,7384 is 1114984.
Thus, GCF of Fractions is 1/1114984.Finally, GCF of Fractions for 7007/151, 2141/7384 is 1/1114984.