GCF of 2987/520, 4128/2904
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2987/520, 4128/2904 i.e 1/188760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2987/520, 4128/2904.
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 2987/520,4128/2904?
Given fractions are 2987/520,4128/2904
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 2987/520,4128/2904, numerators are 2987,4128
Denominators are 520,2904
The GCF of 2987,4128 is 1 .
LCM of 520,2904 is 188760.
The greatest common factor of 2987/520,4128/2904 = [GCF of 2987,4128]/[LCM of 520,2904]= 1/188760
Therefore, the GCF of 2987/520,4128/2904 is 1/188760.
To find the highest common factor of 2987,4128, we have to find the factors of both numbers and list the highest common factor.
The factors of 2987 are 1, 29, 103, 2987
The factors of 4128 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 86, 96, 129, 172, 258, 344, 516, 688, 1032, 1376, 2064, 4128
The HCF of 2987,4128 is 1.
Lets's calculate GCF of 2987,4128
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2987,4128 By Matching Biggest Common Factor Method
Now, list down the factors of 2987
:1,29,103,2987
Now, list down the factors of 4128
:1,2,3,4,6,8,12,16,24,32,43,48,86,96,129,172,258,344,516,688,1032,1376,2064,4128
Greatest Common Factor
We found the factors 2987,4128 . The biggest common factor number is the GCF number.
So the greatest common factor 2987,4128 is 1.
Lets's calculate LCM of 520,2904
| 2 | 520, 2904 |
| 2 | 260, 1452 |
| 2 | 130, 726 |
| 65, 363 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 363 = 188760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188760
Therefore, the GCF of Fractions 2987/520,4128/2904 is 1/188760
Least Common Multiple of 520,2904 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 520,2904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,2904) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(520,2904) x common factors =8 x 1 = 8
LCM(520,2904) = ( 520 × 2904 ) / 8
LCM(520,2904) = 1510080 / 8
LCM(520,2904) = 188760
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FAQs on GCF of Fractions of 2987/520, 4128/2904
1. What is the HCF of 2987,4128?
The HCF of 2987,4128 is 1
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 2987/520, 4128/2904?
Answer: GCF of Numerators as per given numbers 2987/520, 4128/2904 is
GCF of Numerators i.e. for 2987,4128 is 1
LCM of denominators i.e. for 520,2904 is 188760.
Thus, GCF of Fractions is 1/188760.Finally, GCF of Fractions for 2987/520, 4128/2904 is 1/188760.