GCF of 8925/142, 1014/8520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8925/142, 1014/8520 i.e 3/8520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8925/142, 1014/8520.
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 8925/142,1014/8520?
Given fractions are 8925/142,1014/8520
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 8925/142,1014/8520, numerators are 8925,1014
Denominators are 142,8520
The GCF of 8925,1014 is 3 .
LCM of 142,8520 is 8520.
The greatest common factor of 8925/142,1014/8520 = [GCF of 8925,1014]/[LCM of 142,8520]= 3/8520
Therefore, the GCF of 8925/142,1014/8520 is 3/8520.
To find the highest common factor of 8925,1014, 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 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014
The HCF of 8925,1014 is 3.
Lets's calculate GCF of 8925,1014
| 3 | 8925, 1014 |
| 2975, 338 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8925,1014 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 1014
:1,2,3,6,13,26,39,78,169,338,507,1014
Greatest Common Factor
We found the factors 8925,1014 . The biggest common factor number is the GCF number.
So the greatest common factor 8925,1014 is 3.
Lets's calculate LCM of 142,8520
| 2 | 142, 8520 |
| 71 | 71, 4260 |
| 1, 60 |
∴ So the LCM of the given numbers is 2 x 71 x 1 x 60 = 8520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8520
Therefore, the GCF of Fractions 8925/142,1014/8520 is 3/8520
Least Common Multiple of 142,8520 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 142,8520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,8520) = 142
common factors(in case of two or more numbers have common factors) = 1
GCF(142,8520) x common factors =142 x 1 = 142
LCM(142,8520) = ( 142 × 8520 ) / 142
LCM(142,8520) = 1209840 / 142
LCM(142,8520) = 8520
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FAQs on GCF of Fractions of 8925/142, 1014/8520
1. What is the HCF of 8925,1014?
The HCF of 8925,1014 is 3
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 8925/142, 1014/8520?
Answer: GCF of Numerators as per given numbers 8925/142, 1014/8520 is
GCF of Numerators i.e. for 8925,1014 is 3
LCM of denominators i.e. for 142,8520 is 8520.
Thus, GCF of Fractions is 3/8520.Finally, GCF of Fractions for 8925/142, 1014/8520 is 3/8520.