GCF of 8925/395, 7531/572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8925/395, 7531/572 i.e 17/225940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8925/395, 7531/572.
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 8925/395,7531/572?
Given fractions are 8925/395,7531/572
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 8925/395,7531/572, numerators are 8925,7531
Denominators are 395,572
The GCF of 8925,7531 is 17 .
LCM of 395,572 is 225940.
The greatest common factor of 8925/395,7531/572 = [GCF of 8925,7531]/[LCM of 395,572]= 17/225940
Therefore, the GCF of 8925/395,7531/572 is 17/225940.
To find the highest common factor of 8925,7531, we have to find the factors of both numbers and list the highest common factor.
The factors of 8925 are 1, 3, 5, 7, 15, 17, 21, 25, 35, 51, 75, 85, 105, 119, 175, 255, 357, 425, 525, 595, 1275, 1785, 2975, 8925
The factors of 7531 are 1, 17, 443, 7531
The HCF of 8925,7531 is 17.
Lets's calculate GCF of 8925,7531
| 17 | 8925, 7531 |
| 525, 443 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 8925,7531 By Matching Biggest Common Factor Method
Now, list down the factors of 8925
:1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925
Now, list down the factors of 7531
:1,17,443,7531
Greatest Common Factor
We found the factors 8925,7531 . The biggest common factor number is the GCF number.
So the greatest common factor 8925,7531 is 17.
Lets's calculate LCM of 395,572
Given numbers has no common factors except 1. So, there LCM is their product i.e 225940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/225940
Therefore, the GCF of Fractions 8925/395,7531/572 is 17/225940
Least Common Multiple of 395,572 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 395,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,572) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,572) x common factors =1 x 1 = 1
LCM(395,572) = ( 395 × 572 ) / 1
LCM(395,572) = 225940 / 1
LCM(395,572) = 225940
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FAQs on GCF of Fractions of 8925/395, 7531/572
1. What is the HCF of 8925,7531?
The HCF of 8925,7531 is 17
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 8925/395, 7531/572?
Answer: GCF of Numerators as per given numbers 8925/395, 7531/572 is
GCF of Numerators i.e. for 8925,7531 is 17
LCM of denominators i.e. for 395,572 is 225940.
Thus, GCF of Fractions is 17/225940.Finally, GCF of Fractions for 8925/395, 7531/572 is 17/225940.