GCF of 4028/219, 7448/855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4028/219, 7448/855 i.e 76/62415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4028/219, 7448/855.
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 4028/219,7448/855?
Given fractions are 4028/219,7448/855
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 4028/219,7448/855, numerators are 4028,7448
Denominators are 219,855
The GCF of 4028,7448 is 76 .
LCM of 219,855 is 62415.
The greatest common factor of 4028/219,7448/855 = [GCF of 4028,7448]/[LCM of 219,855]= 76/62415
Therefore, the GCF of 4028/219,7448/855 is 76/62415.
To find the highest common factor of 4028,7448, we have to find the factors of both numbers and list the highest common factor.
The factors of 4028 are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028
The factors of 7448 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724, 7448
The HCF of 4028,7448 is 76.
Lets's calculate GCF of 4028,7448
| 2 | 4028, 7448 |
| 2 | 2014, 3724 |
| 19 | 1007, 1862 |
| 53, 98 |
∴ So the GCF of the given numbers is 2 x 2 x 19 = 76
Greatest Common Factor of 4028,7448 By Matching Biggest Common Factor Method
Now, list down the factors of 4028
:1,2,4,19,38,53,76,106,212,1007,2014,4028
Now, list down the factors of 7448
:1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448
Greatest Common Factor
We found the factors 4028,7448 . The biggest common factor number is the GCF number.
So the greatest common factor 4028,7448 is 76.
Lets's calculate LCM of 219,855
| 3 | 219, 855 |
| 73, 285 |
∴ So the LCM of the given numbers is 3 x 73 x 285 = 62415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/62415
Therefore, the GCF of Fractions 4028/219,7448/855 is 76/62415
Least Common Multiple of 219,855 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 219,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,855) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(219,855) x common factors =3 x 1 = 3
LCM(219,855) = ( 219 × 855 ) / 3
LCM(219,855) = 187245 / 3
LCM(219,855) = 62415
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FAQs on GCF of Fractions of 4028/219, 7448/855
1. What is the HCF of 4028,7448?
The HCF of 4028,7448 is 76
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 4028/219, 7448/855?
Answer: GCF of Numerators as per given numbers 4028/219, 7448/855 is
GCF of Numerators i.e. for 4028,7448 is 76
LCM of denominators i.e. for 219,855 is 62415.
Thus, GCF of Fractions is 76/62415.Finally, GCF of Fractions for 4028/219, 7448/855 is 76/62415.