GCF of 8875/173, 8525/9023
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8875/173, 8525/9023 i.e 25/1560979 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8875/173, 8525/9023.
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 8875/173,8525/9023?
Given fractions are 8875/173,8525/9023
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 8875/173,8525/9023, numerators are 8875,8525
Denominators are 173,9023
The GCF of 8875,8525 is 25 .
LCM of 173,9023 is 1560979.
The greatest common factor of 8875/173,8525/9023 = [GCF of 8875,8525]/[LCM of 173,9023]= 25/1560979
Therefore, the GCF of 8875/173,8525/9023 is 25/1560979.
To find the highest common factor of 8875,8525, we have to find the factors of both numbers and list the highest common factor.
The factors of 8875 are 1, 5, 25, 71, 125, 355, 1775, 8875
The factors of 8525 are 1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525
The HCF of 8875,8525 is 25.
Lets's calculate GCF of 8875,8525
| 5 | 8875, 8525 |
| 5 | 1775, 1705 |
| 355, 341 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 8875,8525 By Matching Biggest Common Factor Method
Now, list down the factors of 8875
:1,5,25,71,125,355,1775,8875
Now, list down the factors of 8525
:1,5,11,25,31,55,155,275,341,775,1705,8525
Greatest Common Factor
We found the factors 8875,8525 . The biggest common factor number is the GCF number.
So the greatest common factor 8875,8525 is 25.
Lets's calculate LCM of 173,9023
Given numbers has no common factors except 1. So, there LCM is their product i.e 1560979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1560979
Therefore, the GCF of Fractions 8875/173,8525/9023 is 25/1560979
Least Common Multiple of 173,9023 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 173,9023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,9023) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,9023) x common factors =1 x 1 = 1
LCM(173,9023) = ( 173 × 9023 ) / 1
LCM(173,9023) = 1560979 / 1
LCM(173,9023) = 1560979
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FAQs on GCF of Fractions of 8875/173, 8525/9023
1. What is the HCF of 8875,8525?
The HCF of 8875,8525 is 25
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 8875/173, 8525/9023?
Answer: GCF of Numerators as per given numbers 8875/173, 8525/9023 is
GCF of Numerators i.e. for 8875,8525 is 25
LCM of denominators i.e. for 173,9023 is 1560979.
Thus, GCF of Fractions is 25/1560979.Finally, GCF of Fractions for 8875/173, 8525/9023 is 25/1560979.