GCF of 2850/112, 9105/7084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2850/112, 9105/7084 i.e 15/28336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2850/112, 9105/7084.
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 2850/112,9105/7084?
Given fractions are 2850/112,9105/7084
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 2850/112,9105/7084, numerators are 2850,9105
Denominators are 112,7084
The GCF of 2850,9105 is 15 .
LCM of 112,7084 is 28336.
The greatest common factor of 2850/112,9105/7084 = [GCF of 2850,9105]/[LCM of 112,7084]= 15/28336
Therefore, the GCF of 2850/112,9105/7084 is 15/28336.
To find the highest common factor of 2850,9105, we have to find the factors of both numbers and list the highest common factor.
The factors of 2850 are 1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 150, 190, 285, 475, 570, 950, 1425, 2850
The factors of 9105 are 1, 3, 5, 15, 607, 1821, 3035, 9105
The HCF of 2850,9105 is 15.
Lets's calculate GCF of 2850,9105
| 3 | 2850, 9105 |
| 5 | 950, 3035 |
| 190, 607 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 2850,9105 By Matching Biggest Common Factor Method
Now, list down the factors of 2850
:1,2,3,5,6,10,15,19,25,30,38,50,57,75,95,114,150,190,285,475,570,950,1425,2850
Now, list down the factors of 9105
:1,3,5,15,607,1821,3035,9105
Greatest Common Factor
We found the factors 2850,9105 . The biggest common factor number is the GCF number.
So the greatest common factor 2850,9105 is 15.
Lets's calculate LCM of 112,7084
| 2 | 112, 7084 |
| 2 | 56, 3542 |
| 7 | 28, 1771 |
| 4, 253 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 4 x 253 = 28336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/28336
Therefore, the GCF of Fractions 2850/112,9105/7084 is 15/28336
Least Common Multiple of 112,7084 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 112,7084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,7084) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(112,7084) x common factors =28 x 1 = 28
LCM(112,7084) = ( 112 × 7084 ) / 28
LCM(112,7084) = 793408 / 28
LCM(112,7084) = 28336
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FAQs on GCF of Fractions of 2850/112, 9105/7084
1. What is the HCF of 2850,9105?
The HCF of 2850,9105 is 15
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 2850/112, 9105/7084?
Answer: GCF of Numerators as per given numbers 2850/112, 9105/7084 is
GCF of Numerators i.e. for 2850,9105 is 15
LCM of denominators i.e. for 112,7084 is 28336.
Thus, GCF of Fractions is 15/28336.Finally, GCF of Fractions for 2850/112, 9105/7084 is 15/28336.