GCF of 3588/302, 3040/612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3588/302, 3040/612 i.e 4/92412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3588/302, 3040/612.
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 3588/302,3040/612?
Given fractions are 3588/302,3040/612
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 3588/302,3040/612, numerators are 3588,3040
Denominators are 302,612
The GCF of 3588,3040 is 4 .
LCM of 302,612 is 92412.
The greatest common factor of 3588/302,3040/612 = [GCF of 3588,3040]/[LCM of 302,612]= 4/92412
Therefore, the GCF of 3588/302,3040/612 is 4/92412.
To find the highest common factor of 3588,3040, we have to find the factors of both numbers and list the highest common factor.
The factors of 3588 are 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588
The factors of 3040 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040
The HCF of 3588,3040 is 4.
Lets's calculate GCF of 3588,3040
| 2 | 3588, 3040 |
| 2 | 1794, 1520 |
| 897, 760 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3588,3040 By Matching Biggest Common Factor Method
Now, list down the factors of 3588
:1,2,3,4,6,12,13,23,26,39,46,52,69,78,92,138,156,276,299,598,897,1196,1794,3588
Now, list down the factors of 3040
:1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040
Greatest Common Factor
We found the factors 3588,3040 . The biggest common factor number is the GCF number.
So the greatest common factor 3588,3040 is 4.
Lets's calculate LCM of 302,612
| 2 | 302, 612 |
| 151, 306 |
∴ So the LCM of the given numbers is 2 x 151 x 306 = 92412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/92412
Therefore, the GCF of Fractions 3588/302,3040/612 is 4/92412
Least Common Multiple of 302,612 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 302,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,612) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,612) x common factors =2 x 1 = 2
LCM(302,612) = ( 302 × 612 ) / 2
LCM(302,612) = 184824 / 2
LCM(302,612) = 92412
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FAQs on GCF of Fractions of 3588/302, 3040/612
1. What is the HCF of 3588,3040?
The HCF of 3588,3040 is 4
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 3588/302, 3040/612?
Answer: GCF of Numerators as per given numbers 3588/302, 3040/612 is
GCF of Numerators i.e. for 3588,3040 is 4
LCM of denominators i.e. for 302,612 is 92412.
Thus, GCF of Fractions is 4/92412.Finally, GCF of Fractions for 3588/302, 3040/612 is 4/92412.