GCF of 7231/749, 8215/1570
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7231/749, 8215/1570 i.e 1/1175930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7231/749, 8215/1570.
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 7231/749,8215/1570?
Given fractions are 7231/749,8215/1570
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 7231/749,8215/1570, numerators are 7231,8215
Denominators are 749,1570
The GCF of 7231,8215 is 1 .
LCM of 749,1570 is 1175930.
The greatest common factor of 7231/749,8215/1570 = [GCF of 7231,8215]/[LCM of 749,1570]= 1/1175930
Therefore, the GCF of 7231/749,8215/1570 is 1/1175930.
To find the highest common factor of 7231,8215, we have to find the factors of both numbers and list the highest common factor.
The factors of 7231 are 1, 7, 1033, 7231
The factors of 8215 are 1, 5, 31, 53, 155, 265, 1643, 8215
The HCF of 7231,8215 is 1.
Lets's calculate GCF of 7231,8215
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7231,8215 By Matching Biggest Common Factor Method
Now, list down the factors of 7231
:1,7,1033,7231
Now, list down the factors of 8215
:1,5,31,53,155,265,1643,8215
Greatest Common Factor
We found the factors 7231,8215 . The biggest common factor number is the GCF number.
So the greatest common factor 7231,8215 is 1.
Lets's calculate LCM of 749,1570
Given numbers has no common factors except 1. So, there LCM is their product i.e 1175930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1175930
Therefore, the GCF of Fractions 7231/749,8215/1570 is 1/1175930
Least Common Multiple of 749,1570 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 749,1570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,1570) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,1570) x common factors =1 x 1 = 1
LCM(749,1570) = ( 749 × 1570 ) / 1
LCM(749,1570) = 1175930 / 1
LCM(749,1570) = 1175930
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FAQs on GCF of Fractions of 7231/749, 8215/1570
1. What is the HCF of 7231,8215?
The HCF of 7231,8215 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 7231/749, 8215/1570?
Answer: GCF of Numerators as per given numbers 7231/749, 8215/1570 is
GCF of Numerators i.e. for 7231,8215 is 1
LCM of denominators i.e. for 749,1570 is 1175930.
Thus, GCF of Fractions is 1/1175930.Finally, GCF of Fractions for 7231/749, 8215/1570 is 1/1175930.