GCF of 6280/445, 2118/4242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6280/445, 2118/4242 i.e 2/1887690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6280/445, 2118/4242.
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 6280/445,2118/4242?
Given fractions are 6280/445,2118/4242
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 6280/445,2118/4242, numerators are 6280,2118
Denominators are 445,4242
The GCF of 6280,2118 is 2 .
LCM of 445,4242 is 1887690.
The greatest common factor of 6280/445,2118/4242 = [GCF of 6280,2118]/[LCM of 445,4242]= 2/1887690
Therefore, the GCF of 6280/445,2118/4242 is 2/1887690.
To find the highest common factor of 6280,2118, we have to find the factors of both numbers and list the highest common factor.
The factors of 6280 are 1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280
The factors of 2118 are 1, 2, 3, 6, 353, 706, 1059, 2118
The HCF of 6280,2118 is 2.
Lets's calculate GCF of 6280,2118
| 2 | 6280, 2118 |
| 3140, 1059 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6280,2118 By Matching Biggest Common Factor Method
Now, list down the factors of 6280
:1,2,4,5,8,10,20,40,157,314,628,785,1256,1570,3140,6280
Now, list down the factors of 2118
:1,2,3,6,353,706,1059,2118
Greatest Common Factor
We found the factors 6280,2118 . The biggest common factor number is the GCF number.
So the greatest common factor 6280,2118 is 2.
Lets's calculate LCM of 445,4242
Given numbers has no common factors except 1. So, there LCM is their product i.e 1887690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1887690
Therefore, the GCF of Fractions 6280/445,2118/4242 is 2/1887690
Least Common Multiple of 445,4242 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 445,4242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,4242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(445,4242) x common factors =1 x 1 = 1
LCM(445,4242) = ( 445 × 4242 ) / 1
LCM(445,4242) = 1887690 / 1
LCM(445,4242) = 1887690
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FAQs on GCF of Fractions of 6280/445, 2118/4242
1. What is the HCF of 6280,2118?
The HCF of 6280,2118 is 2
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 6280/445, 2118/4242?
Answer: GCF of Numerators as per given numbers 6280/445, 2118/4242 is
GCF of Numerators i.e. for 6280,2118 is 2
LCM of denominators i.e. for 445,4242 is 1887690.
Thus, GCF of Fractions is 2/1887690.Finally, GCF of Fractions for 6280/445, 2118/4242 is 2/1887690.