GCF of 7931/565, 8160/1541
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7931/565, 8160/1541 i.e 1/870665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7931/565, 8160/1541.
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 7931/565,8160/1541?
Given fractions are 7931/565,8160/1541
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 7931/565,8160/1541, numerators are 7931,8160
Denominators are 565,1541
The GCF of 7931,8160 is 1 .
LCM of 565,1541 is 870665.
The greatest common factor of 7931/565,8160/1541 = [GCF of 7931,8160]/[LCM of 565,1541]= 1/870665
Therefore, the GCF of 7931/565,8160/1541 is 1/870665.
To find the highest common factor of 7931,8160, we have to find the factors of both numbers and list the highest common factor.
The factors of 7931 are 1, 7, 11, 77, 103, 721, 1133, 7931
The factors of 8160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160
The HCF of 7931,8160 is 1.
Lets's calculate GCF of 7931,8160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7931,8160 By Matching Biggest Common Factor Method
Now, list down the factors of 7931
:1,7,11,77,103,721,1133,7931
Now, list down the factors of 8160
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,32,34,40,48,51,60,68,80,85,96,102,120,136,160,170,204,240,255,272,340,408,480,510,544,680,816,1020,1360,1632,2040,2720,4080,8160
Greatest Common Factor
We found the factors 7931,8160 . The biggest common factor number is the GCF number.
So the greatest common factor 7931,8160 is 1.
Lets's calculate LCM of 565,1541
Given numbers has no common factors except 1. So, there LCM is their product i.e 870665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/870665
Therefore, the GCF of Fractions 7931/565,8160/1541 is 1/870665
Least Common Multiple of 565,1541 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 565,1541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,1541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,1541) x common factors =1 x 1 = 1
LCM(565,1541) = ( 565 × 1541 ) / 1
LCM(565,1541) = 870665 / 1
LCM(565,1541) = 870665
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FAQs on GCF of Fractions of 7931/565, 8160/1541
1. What is the HCF of 7931,8160?
The HCF of 7931,8160 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 7931/565, 8160/1541?
Answer: GCF of Numerators as per given numbers 7931/565, 8160/1541 is
GCF of Numerators i.e. for 7931,8160 is 1
LCM of denominators i.e. for 565,1541 is 870665.
Thus, GCF of Fractions is 1/870665.Finally, GCF of Fractions for 7931/565, 8160/1541 is 1/870665.