GCF of 4930/455, 4070/819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4930/455, 4070/819 i.e 10/4095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4930/455, 4070/819.
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 4930/455,4070/819?
Given fractions are 4930/455,4070/819
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 4930/455,4070/819, numerators are 4930,4070
Denominators are 455,819
The GCF of 4930,4070 is 10 .
LCM of 455,819 is 4095.
The greatest common factor of 4930/455,4070/819 = [GCF of 4930,4070]/[LCM of 455,819]= 10/4095
Therefore, the GCF of 4930/455,4070/819 is 10/4095.
To find the highest common factor of 4930,4070, we have to find the factors of both numbers and list the highest common factor.
The factors of 4930 are 1, 2, 5, 10, 17, 29, 34, 58, 85, 145, 170, 290, 493, 986, 2465, 4930
The factors of 4070 are 1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070
The HCF of 4930,4070 is 10.
Lets's calculate GCF of 4930,4070
| 2 | 4930, 4070 |
| 5 | 2465, 2035 |
| 493, 407 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4930,4070 By Matching Biggest Common Factor Method
Now, list down the factors of 4930
:1,2,5,10,17,29,34,58,85,145,170,290,493,986,2465,4930
Now, list down the factors of 4070
:1,2,5,10,11,22,37,55,74,110,185,370,407,814,2035,4070
Greatest Common Factor
We found the factors 4930,4070 . The biggest common factor number is the GCF number.
So the greatest common factor 4930,4070 is 10.
Lets's calculate LCM of 455,819
| 7 | 455, 819 |
| 13 | 65, 117 |
| 5, 9 |
∴ So the LCM of the given numbers is 7 x 13 x 5 x 9 = 4095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4095
Therefore, the GCF of Fractions 4930/455,4070/819 is 10/4095
Least Common Multiple of 455,819 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 455,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,819) = 91
common factors(in case of two or more numbers have common factors) = 1
GCF(455,819) x common factors =91 x 1 = 91
LCM(455,819) = ( 455 × 819 ) / 91
LCM(455,819) = 372645 / 91
LCM(455,819) = 4095
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FAQs on GCF of Fractions of 4930/455, 4070/819
1. What is the HCF of 4930,4070?
The HCF of 4930,4070 is 10
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 4930/455, 4070/819?
Answer: GCF of Numerators as per given numbers 4930/455, 4070/819 is
GCF of Numerators i.e. for 4930,4070 is 10
LCM of denominators i.e. for 455,819 is 4095.
Thus, GCF of Fractions is 10/4095.Finally, GCF of Fractions for 4930/455, 4070/819 is 10/4095.