GCF of 4071/684, 7052/1375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4071/684, 7052/1375 i.e 1/940500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4071/684, 7052/1375.
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 4071/684,7052/1375?
Given fractions are 4071/684,7052/1375
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 4071/684,7052/1375, numerators are 4071,7052
Denominators are 684,1375
The GCF of 4071,7052 is 1 .
LCM of 684,1375 is 940500.
The greatest common factor of 4071/684,7052/1375 = [GCF of 4071,7052]/[LCM of 684,1375]= 1/940500
Therefore, the GCF of 4071/684,7052/1375 is 1/940500.
To find the highest common factor of 4071,7052, we have to find the factors of both numbers and list the highest common factor.
The factors of 4071 are 1, 3, 23, 59, 69, 177, 1357, 4071
The factors of 7052 are 1, 2, 4, 41, 43, 82, 86, 164, 172, 1763, 3526, 7052
The HCF of 4071,7052 is 1.
Lets's calculate GCF of 4071,7052
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4071,7052 By Matching Biggest Common Factor Method
Now, list down the factors of 4071
:1,3,23,59,69,177,1357,4071
Now, list down the factors of 7052
:1,2,4,41,43,82,86,164,172,1763,3526,7052
Greatest Common Factor
We found the factors 4071,7052 . The biggest common factor number is the GCF number.
So the greatest common factor 4071,7052 is 1.
Lets's calculate LCM of 684,1375
Given numbers has no common factors except 1. So, there LCM is their product i.e 940500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/940500
Therefore, the GCF of Fractions 4071/684,7052/1375 is 1/940500
Least Common Multiple of 684,1375 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 684,1375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,1375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,1375) x common factors =1 x 1 = 1
LCM(684,1375) = ( 684 × 1375 ) / 1
LCM(684,1375) = 940500 / 1
LCM(684,1375) = 940500
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4071/684, 7052/1375
1. What is the HCF of 4071,7052?
The HCF of 4071,7052 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 4071/684, 7052/1375?
Answer: GCF of Numerators as per given numbers 4071/684, 7052/1375 is
GCF of Numerators i.e. for 4071,7052 is 1
LCM of denominators i.e. for 684,1375 is 940500.
Thus, GCF of Fractions is 1/940500.Finally, GCF of Fractions for 4071/684, 7052/1375 is 1/940500.