GCF of 2883/470, 7178/2146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2883/470, 7178/2146 i.e 1/504310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2883/470, 7178/2146.
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 2883/470,7178/2146?
Given fractions are 2883/470,7178/2146
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 2883/470,7178/2146, numerators are 2883,7178
Denominators are 470,2146
The GCF of 2883,7178 is 1 .
LCM of 470,2146 is 504310.
The greatest common factor of 2883/470,7178/2146 = [GCF of 2883,7178]/[LCM of 470,2146]= 1/504310
Therefore, the GCF of 2883/470,7178/2146 is 1/504310.
To find the highest common factor of 2883,7178, we have to find the factors of both numbers and list the highest common factor.
The factors of 2883 are 1, 3, 31, 93, 961, 2883
The factors of 7178 are 1, 2, 37, 74, 97, 194, 3589, 7178
The HCF of 2883,7178 is 1.
Lets's calculate GCF of 2883,7178
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2883,7178 By Matching Biggest Common Factor Method
Now, list down the factors of 2883
:1,3,31,93,961,2883
Now, list down the factors of 7178
:1,2,37,74,97,194,3589,7178
Greatest Common Factor
We found the factors 2883,7178 . The biggest common factor number is the GCF number.
So the greatest common factor 2883,7178 is 1.
Lets's calculate LCM of 470,2146
| 2 | 470, 2146 |
| 235, 1073 |
∴ So the LCM of the given numbers is 2 x 235 x 1073 = 504310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/504310
Therefore, the GCF of Fractions 2883/470,7178/2146 is 1/504310
Least Common Multiple of 470,2146 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 470,2146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,2146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,2146) x common factors =2 x 1 = 2
LCM(470,2146) = ( 470 × 2146 ) / 2
LCM(470,2146) = 1008620 / 2
LCM(470,2146) = 504310
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FAQs on GCF of Fractions of 2883/470, 7178/2146
1. What is the HCF of 2883,7178?
The HCF of 2883,7178 is 1
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 2883/470, 7178/2146?
Answer: GCF of Numerators as per given numbers 2883/470, 7178/2146 is
GCF of Numerators i.e. for 2883,7178 is 1
LCM of denominators i.e. for 470,2146 is 504310.
Thus, GCF of Fractions is 1/504310.Finally, GCF of Fractions for 2883/470, 7178/2146 is 1/504310.