GCF of 3270/520, 2430/878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3270/520, 2430/878 i.e 30/228280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3270/520, 2430/878.
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 3270/520,2430/878?
Given fractions are 3270/520,2430/878
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 3270/520,2430/878, numerators are 3270,2430
Denominators are 520,878
The GCF of 3270,2430 is 30 .
LCM of 520,878 is 228280.
The greatest common factor of 3270/520,2430/878 = [GCF of 3270,2430]/[LCM of 520,878]= 30/228280
Therefore, the GCF of 3270/520,2430/878 is 30/228280.
To find the highest common factor of 3270,2430, we have to find the factors of both numbers and list the highest common factor.
The factors of 3270 are 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635, 3270
The factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430
The HCF of 3270,2430 is 30.
Lets's calculate GCF of 3270,2430
| 2 | 3270, 2430 |
| 3 | 1635, 1215 |
| 5 | 545, 405 |
| 109, 81 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 3270,2430 By Matching Biggest Common Factor Method
Now, list down the factors of 3270
:1,2,3,5,6,10,15,30,109,218,327,545,654,1090,1635,3270
Now, list down the factors of 2430
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,810,1215,2430
Greatest Common Factor
We found the factors 3270,2430 . The biggest common factor number is the GCF number.
So the greatest common factor 3270,2430 is 30.
Lets's calculate LCM of 520,878
| 2 | 520, 878 |
| 260, 439 |
∴ So the LCM of the given numbers is 2 x 260 x 439 = 228280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/228280
Therefore, the GCF of Fractions 3270/520,2430/878 is 30/228280
Least Common Multiple of 520,878 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 520,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,878) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(520,878) x common factors =2 x 1 = 2
LCM(520,878) = ( 520 × 878 ) / 2
LCM(520,878) = 456560 / 2
LCM(520,878) = 228280
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FAQs on GCF of Fractions of 3270/520, 2430/878
1. What is the HCF of 3270,2430?
The HCF of 3270,2430 is 30
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 3270/520, 2430/878?
Answer: GCF of Numerators as per given numbers 3270/520, 2430/878 is
GCF of Numerators i.e. for 3270,2430 is 30
LCM of denominators i.e. for 520,878 is 228280.
Thus, GCF of Fractions is 30/228280.Finally, GCF of Fractions for 3270/520, 2430/878 is 30/228280.