GCF of 2904/830, 2070/3575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2904/830, 2070/3575 i.e 6/593450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2904/830, 2070/3575.
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 2904/830,2070/3575?
Given fractions are 2904/830,2070/3575
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 2904/830,2070/3575, numerators are 2904,2070
Denominators are 830,3575
The GCF of 2904,2070 is 6 .
LCM of 830,3575 is 593450.
The greatest common factor of 2904/830,2070/3575 = [GCF of 2904,2070]/[LCM of 830,3575]= 6/593450
Therefore, the GCF of 2904/830,2070/3575 is 6/593450.
To find the highest common factor of 2904,2070, we have to find the factors of both numbers and list the highest common factor.
The factors of 2904 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452, 2904
The factors of 2070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070
The HCF of 2904,2070 is 6.
Lets's calculate GCF of 2904,2070
| 2 | 2904, 2070 |
| 3 | 1452, 1035 |
| 484, 345 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2904,2070 By Matching Biggest Common Factor Method
Now, list down the factors of 2904
:1,2,3,4,6,8,11,12,22,24,33,44,66,88,121,132,242,264,363,484,726,968,1452,2904
Now, list down the factors of 2070
:1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070
Greatest Common Factor
We found the factors 2904,2070 . The biggest common factor number is the GCF number.
So the greatest common factor 2904,2070 is 6.
Lets's calculate LCM of 830,3575
| 5 | 830, 3575 |
| 166, 715 |
∴ So the LCM of the given numbers is 5 x 166 x 715 = 593450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/593450
Therefore, the GCF of Fractions 2904/830,2070/3575 is 6/593450
Least Common Multiple of 830,3575 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 830,3575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,3575) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(830,3575) x common factors =5 x 1 = 5
LCM(830,3575) = ( 830 × 3575 ) / 5
LCM(830,3575) = 2967250 / 5
LCM(830,3575) = 593450
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FAQs on GCF of Fractions of 2904/830, 2070/3575
1. What is the HCF of 2904,2070?
The HCF of 2904,2070 is 6
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 2904/830, 2070/3575?
Answer: GCF of Numerators as per given numbers 2904/830, 2070/3575 is
GCF of Numerators i.e. for 2904,2070 is 6
LCM of denominators i.e. for 830,3575 is 593450.
Thus, GCF of Fractions is 6/593450.Finally, GCF of Fractions for 2904/830, 2070/3575 is 6/593450.