GCF of 7059/540, 8475/971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7059/540, 8475/971 i.e 3/524340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7059/540, 8475/971.
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 7059/540,8475/971?
Given fractions are 7059/540,8475/971
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 7059/540,8475/971, numerators are 7059,8475
Denominators are 540,971
The GCF of 7059,8475 is 3 .
LCM of 540,971 is 524340.
The greatest common factor of 7059/540,8475/971 = [GCF of 7059,8475]/[LCM of 540,971]= 3/524340
Therefore, the GCF of 7059/540,8475/971 is 3/524340.
To find the highest common factor of 7059,8475, we have to find the factors of both numbers and list the highest common factor.
The factors of 7059 are 1, 3, 13, 39, 181, 543, 2353, 7059
The factors of 8475 are 1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825, 8475
The HCF of 7059,8475 is 3.
Lets's calculate GCF of 7059,8475
| 3 | 7059, 8475 |
| 2353, 2825 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7059,8475 By Matching Biggest Common Factor Method
Now, list down the factors of 7059
:1,3,13,39,181,543,2353,7059
Now, list down the factors of 8475
:1,3,5,15,25,75,113,339,565,1695,2825,8475
Greatest Common Factor
We found the factors 7059,8475 . The biggest common factor number is the GCF number.
So the greatest common factor 7059,8475 is 3.
Lets's calculate LCM of 540,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 524340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/524340
Therefore, the GCF of Fractions 7059/540,8475/971 is 3/524340
Least Common Multiple of 540,971 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 540,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(540,971) x common factors =1 x 1 = 1
LCM(540,971) = ( 540 × 971 ) / 1
LCM(540,971) = 524340 / 1
LCM(540,971) = 524340
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FAQs on GCF of Fractions of 7059/540, 8475/971
1. What is the HCF of 7059,8475?
The HCF of 7059,8475 is 3
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 7059/540, 8475/971?
Answer: GCF of Numerators as per given numbers 7059/540, 8475/971 is
GCF of Numerators i.e. for 7059,8475 is 3
LCM of denominators i.e. for 540,971 is 524340.
Thus, GCF of Fractions is 3/524340.Finally, GCF of Fractions for 7059/540, 8475/971 is 3/524340.