GCF of 5070/837, 9075/3129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5070/837, 9075/3129 i.e 15/872991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5070/837, 9075/3129.
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 5070/837,9075/3129?
Given fractions are 5070/837,9075/3129
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 5070/837,9075/3129, numerators are 5070,9075
Denominators are 837,3129
The GCF of 5070,9075 is 15 .
LCM of 837,3129 is 872991.
The greatest common factor of 5070/837,9075/3129 = [GCF of 5070,9075]/[LCM of 837,3129]= 15/872991
Therefore, the GCF of 5070/837,9075/3129 is 15/872991.
To find the highest common factor of 5070,9075, we have to find the factors of both numbers and list the highest common factor.
The factors of 5070 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535, 5070
The factors of 9075 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075
The HCF of 5070,9075 is 15.
Lets's calculate GCF of 5070,9075
| 3 | 5070, 9075 |
| 5 | 1690, 3025 |
| 338, 605 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 5070,9075 By Matching Biggest Common Factor Method
Now, list down the factors of 5070
:1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070
Now, list down the factors of 9075
:1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075
Greatest Common Factor
We found the factors 5070,9075 . The biggest common factor number is the GCF number.
So the greatest common factor 5070,9075 is 15.
Lets's calculate LCM of 837,3129
| 3 | 837, 3129 |
| 279, 1043 |
∴ So the LCM of the given numbers is 3 x 279 x 1043 = 872991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/872991
Therefore, the GCF of Fractions 5070/837,9075/3129 is 15/872991
Least Common Multiple of 837,3129 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 837,3129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,3129) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(837,3129) x common factors =3 x 1 = 3
LCM(837,3129) = ( 837 × 3129 ) / 3
LCM(837,3129) = 2618973 / 3
LCM(837,3129) = 872991
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FAQs on GCF of Fractions of 5070/837, 9075/3129
1. What is the HCF of 5070,9075?
The HCF of 5070,9075 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 5070/837, 9075/3129?
Answer: GCF of Numerators as per given numbers 5070/837, 9075/3129 is
GCF of Numerators i.e. for 5070,9075 is 15
LCM of denominators i.e. for 837,3129 is 872991.
Thus, GCF of Fractions is 15/872991.Finally, GCF of Fractions for 5070/837, 9075/3129 is 15/872991.