GCF of 7035/390, 2279/2255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7035/390, 2279/2255 i.e 1/175890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7035/390, 2279/2255.
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 7035/390,2279/2255?
Given fractions are 7035/390,2279/2255
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 7035/390,2279/2255, numerators are 7035,2279
Denominators are 390,2255
The GCF of 7035,2279 is 1 .
LCM of 390,2255 is 175890.
The greatest common factor of 7035/390,2279/2255 = [GCF of 7035,2279]/[LCM of 390,2255]= 1/175890
Therefore, the GCF of 7035/390,2279/2255 is 1/175890.
To find the highest common factor of 7035,2279, we have to find the factors of both numbers and list the highest common factor.
The factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035
The factors of 2279 are 1, 43, 53, 2279
The HCF of 7035,2279 is 1.
Lets's calculate GCF of 7035,2279
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7035,2279 By Matching Biggest Common Factor Method
Now, list down the factors of 7035
:1,3,5,7,15,21,35,67,105,201,335,469,1005,1407,2345,7035
Now, list down the factors of 2279
:1,43,53,2279
Greatest Common Factor
We found the factors 7035,2279 . The biggest common factor number is the GCF number.
So the greatest common factor 7035,2279 is 1.
Lets's calculate LCM of 390,2255
| 5 | 390, 2255 |
| 78, 451 |
∴ So the LCM of the given numbers is 5 x 78 x 451 = 175890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175890
Therefore, the GCF of Fractions 7035/390,2279/2255 is 1/175890
Least Common Multiple of 390,2255 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 390,2255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,2255) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(390,2255) x common factors =5 x 1 = 5
LCM(390,2255) = ( 390 × 2255 ) / 5
LCM(390,2255) = 879450 / 5
LCM(390,2255) = 175890
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FAQs on GCF of Fractions of 7035/390, 2279/2255
1. What is the HCF of 7035,2279?
The HCF of 7035,2279 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 7035/390, 2279/2255?
Answer: GCF of Numerators as per given numbers 7035/390, 2279/2255 is
GCF of Numerators i.e. for 7035,2279 is 1
LCM of denominators i.e. for 390,2255 is 175890.
Thus, GCF of Fractions is 1/175890.Finally, GCF of Fractions for 7035/390, 2279/2255 is 1/175890.