GCF of 8525/144, 6872/2888
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8525/144, 6872/2888 i.e 1/51984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8525/144, 6872/2888.
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 8525/144,6872/2888?
Given fractions are 8525/144,6872/2888
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 8525/144,6872/2888, numerators are 8525,6872
Denominators are 144,2888
The GCF of 8525,6872 is 1 .
LCM of 144,2888 is 51984.
The greatest common factor of 8525/144,6872/2888 = [GCF of 8525,6872]/[LCM of 144,2888]= 1/51984
Therefore, the GCF of 8525/144,6872/2888 is 1/51984.
To find the highest common factor of 8525,6872, we have to find the factors of both numbers and list the highest common factor.
The factors of 8525 are 1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525
The factors of 6872 are 1, 2, 4, 8, 859, 1718, 3436, 6872
The HCF of 8525,6872 is 1.
Lets's calculate GCF of 8525,6872
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8525,6872 By Matching Biggest Common Factor Method
Now, list down the factors of 8525
:1,5,11,25,31,55,155,275,341,775,1705,8525
Now, list down the factors of 6872
:1,2,4,8,859,1718,3436,6872
Greatest Common Factor
We found the factors 8525,6872 . The biggest common factor number is the GCF number.
So the greatest common factor 8525,6872 is 1.
Lets's calculate LCM of 144,2888
| 2 | 144, 2888 |
| 2 | 72, 1444 |
| 2 | 36, 722 |
| 18, 361 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 18 x 361 = 51984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51984
Therefore, the GCF of Fractions 8525/144,6872/2888 is 1/51984
Least Common Multiple of 144,2888 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 144,2888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,2888) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(144,2888) x common factors =8 x 1 = 8
LCM(144,2888) = ( 144 × 2888 ) / 8
LCM(144,2888) = 415872 / 8
LCM(144,2888) = 51984
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FAQs on GCF of Fractions of 8525/144, 6872/2888
1. What is the HCF of 8525,6872?
The HCF of 8525,6872 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 8525/144, 6872/2888?
Answer: GCF of Numerators as per given numbers 8525/144, 6872/2888 is
GCF of Numerators i.e. for 8525,6872 is 1
LCM of denominators i.e. for 144,2888 is 51984.
Thus, GCF of Fractions is 1/51984.Finally, GCF of Fractions for 8525/144, 6872/2888 is 1/51984.