GCF of 3140/288, 7636/1990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3140/288, 7636/1990 i.e 4/286560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3140/288, 7636/1990.
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 3140/288,7636/1990?
Given fractions are 3140/288,7636/1990
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 3140/288,7636/1990, numerators are 3140,7636
Denominators are 288,1990
The GCF of 3140,7636 is 4 .
LCM of 288,1990 is 286560.
The greatest common factor of 3140/288,7636/1990 = [GCF of 3140,7636]/[LCM of 288,1990]= 4/286560
Therefore, the GCF of 3140/288,7636/1990 is 4/286560.
To find the highest common factor of 3140,7636, we have to find the factors of both numbers and list the highest common factor.
The factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140
The factors of 7636 are 1, 2, 4, 23, 46, 83, 92, 166, 332, 1909, 3818, 7636
The HCF of 3140,7636 is 4.
Lets's calculate GCF of 3140,7636
| 2 | 3140, 7636 |
| 2 | 1570, 3818 |
| 785, 1909 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3140,7636 By Matching Biggest Common Factor Method
Now, list down the factors of 3140
:1,2,4,5,10,20,157,314,628,785,1570,3140
Now, list down the factors of 7636
:1,2,4,23,46,83,92,166,332,1909,3818,7636
Greatest Common Factor
We found the factors 3140,7636 . The biggest common factor number is the GCF number.
So the greatest common factor 3140,7636 is 4.
Lets's calculate LCM of 288,1990
| 2 | 288, 1990 |
| 144, 995 |
∴ So the LCM of the given numbers is 2 x 144 x 995 = 286560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/286560
Therefore, the GCF of Fractions 3140/288,7636/1990 is 4/286560
Least Common Multiple of 288,1990 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 288,1990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,1990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(288,1990) x common factors =2 x 1 = 2
LCM(288,1990) = ( 288 × 1990 ) / 2
LCM(288,1990) = 573120 / 2
LCM(288,1990) = 286560
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FAQs on GCF of Fractions of 3140/288, 7636/1990
1. What is the HCF of 3140,7636?
The HCF of 3140,7636 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 3140/288, 7636/1990?
Answer: GCF of Numerators as per given numbers 3140/288, 7636/1990 is
GCF of Numerators i.e. for 3140,7636 is 4
LCM of denominators i.e. for 288,1990 is 286560.
Thus, GCF of Fractions is 4/286560.Finally, GCF of Fractions for 3140/288, 7636/1990 is 4/286560.