GCF of 875/173, 6000/521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 875/173, 6000/521 i.e 125/90133 easily. The following is the detailed procedure to determine the greatest common factor of fractions 875/173, 6000/521.
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 875/173,6000/521?
Given fractions are 875/173,6000/521
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 875/173,6000/521, numerators are 875,6000
Denominators are 173,521
The GCF of 875,6000 is 125 .
LCM of 173,521 is 90133.
The greatest common factor of 875/173,6000/521 = [GCF of 875,6000]/[LCM of 173,521]= 125/90133
Therefore, the GCF of 875/173,6000/521 is 125/90133.
To find the highest common factor of 875,6000, we have to find the factors of both numbers and list the highest common factor.
The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875
The factors of 6000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000
The HCF of 875,6000 is 125.
Lets's calculate GCF of 875,6000
| 5 | 875, 6000 |
| 5 | 175, 1200 |
| 5 | 35, 240 |
| 7, 48 |
∴ So the GCF of the given numbers is 5 x 5 x 5 = 125
Greatest Common Factor of 875,6000 By Matching Biggest Common Factor Method
Now, list down the factors of 875
:1,5,7,25,35,125,175,875
Now, list down the factors of 6000
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,125,150,200,240,250,300,375,400,500,600,750,1000,1200,1500,2000,3000,6000
Greatest Common Factor
We found the factors 875,6000 . The biggest common factor number is the GCF number.
So the greatest common factor 875,6000 is 125.
Lets's calculate LCM of 173,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 90133
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 125/90133
Therefore, the GCF of Fractions 875/173,6000/521 is 125/90133
Least Common Multiple of 173,521 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 173,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,521) x common factors =1 x 1 = 1
LCM(173,521) = ( 173 × 521 ) / 1
LCM(173,521) = 90133 / 1
LCM(173,521) = 90133
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FAQs on GCF of Fractions of 875/173, 6000/521
1. What is the HCF of 875,6000?
The HCF of 875,6000 is 125
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 875/173, 6000/521?
Answer: GCF of Numerators as per given numbers 875/173, 6000/521 is
GCF of Numerators i.e. for 875,6000 is 125
LCM of denominators i.e. for 173,521 is 90133.
Thus, GCF of Fractions is 125/90133.Finally, GCF of Fractions for 875/173, 6000/521 is 125/90133.