GCF of 4175/478, 2155/7394
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4175/478, 2155/7394 i.e 5/1767166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4175/478, 2155/7394.
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 4175/478,2155/7394?
Given fractions are 4175/478,2155/7394
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 4175/478,2155/7394, numerators are 4175,2155
Denominators are 478,7394
The GCF of 4175,2155 is 5 .
LCM of 478,7394 is 1767166.
The greatest common factor of 4175/478,2155/7394 = [GCF of 4175,2155]/[LCM of 478,7394]= 5/1767166
Therefore, the GCF of 4175/478,2155/7394 is 5/1767166.
To find the highest common factor of 4175,2155, we have to find the factors of both numbers and list the highest common factor.
The factors of 4175 are 1, 5, 25, 167, 835, 4175
The factors of 2155 are 1, 5, 431, 2155
The HCF of 4175,2155 is 5.
Lets's calculate GCF of 4175,2155
| 5 | 4175, 2155 |
| 835, 431 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4175,2155 By Matching Biggest Common Factor Method
Now, list down the factors of 4175
:1,5,25,167,835,4175
Now, list down the factors of 2155
:1,5,431,2155
Greatest Common Factor
We found the factors 4175,2155 . The biggest common factor number is the GCF number.
So the greatest common factor 4175,2155 is 5.
Lets's calculate LCM of 478,7394
| 2 | 478, 7394 |
| 239, 3697 |
∴ So the LCM of the given numbers is 2 x 239 x 3697 = 1767166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1767166
Therefore, the GCF of Fractions 4175/478,2155/7394 is 5/1767166
Least Common Multiple of 478,7394 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 478,7394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,7394) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,7394) x common factors =2 x 1 = 2
LCM(478,7394) = ( 478 × 7394 ) / 2
LCM(478,7394) = 3534332 / 2
LCM(478,7394) = 1767166
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FAQs on GCF of Fractions of 4175/478, 2155/7394
1. What is the HCF of 4175,2155?
The HCF of 4175,2155 is 5
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 4175/478, 2155/7394?
Answer: GCF of Numerators as per given numbers 4175/478, 2155/7394 is
GCF of Numerators i.e. for 4175,2155 is 5
LCM of denominators i.e. for 478,7394 is 1767166.
Thus, GCF of Fractions is 5/1767166.Finally, GCF of Fractions for 4175/478, 2155/7394 is 5/1767166.