GCF of 7070/450, 5094/7497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7070/450, 5094/7497 i.e 2/374850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7070/450, 5094/7497.
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 7070/450,5094/7497?
Given fractions are 7070/450,5094/7497
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 7070/450,5094/7497, numerators are 7070,5094
Denominators are 450,7497
The GCF of 7070,5094 is 2 .
LCM of 450,7497 is 374850.
The greatest common factor of 7070/450,5094/7497 = [GCF of 7070,5094]/[LCM of 450,7497]= 2/374850
Therefore, the GCF of 7070/450,5094/7497 is 2/374850.
To find the highest common factor of 7070,5094, we have to find the factors of both numbers and list the highest common factor.
The factors of 7070 are 1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070
The factors of 5094 are 1, 2, 3, 6, 9, 18, 283, 566, 849, 1698, 2547, 5094
The HCF of 7070,5094 is 2.
Lets's calculate GCF of 7070,5094
| 2 | 7070, 5094 |
| 3535, 2547 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7070,5094 By Matching Biggest Common Factor Method
Now, list down the factors of 7070
:1,2,5,7,10,14,35,70,101,202,505,707,1010,1414,3535,7070
Now, list down the factors of 5094
:1,2,3,6,9,18,283,566,849,1698,2547,5094
Greatest Common Factor
We found the factors 7070,5094 . The biggest common factor number is the GCF number.
So the greatest common factor 7070,5094 is 2.
Lets's calculate LCM of 450,7497
| 3 | 450, 7497 |
| 3 | 150, 2499 |
| 50, 833 |
∴ So the LCM of the given numbers is 3 x 3 x 50 x 833 = 374850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/374850
Therefore, the GCF of Fractions 7070/450,5094/7497 is 2/374850
Least Common Multiple of 450,7497 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 450,7497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,7497) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(450,7497) x common factors =9 x 1 = 9
LCM(450,7497) = ( 450 × 7497 ) / 9
LCM(450,7497) = 3373650 / 9
LCM(450,7497) = 374850
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FAQs on GCF of Fractions of 7070/450, 5094/7497
1. What is the HCF of 7070,5094?
The HCF of 7070,5094 is 2
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 7070/450, 5094/7497?
Answer: GCF of Numerators as per given numbers 7070/450, 5094/7497 is
GCF of Numerators i.e. for 7070,5094 is 2
LCM of denominators i.e. for 450,7497 is 374850.
Thus, GCF of Fractions is 2/374850.Finally, GCF of Fractions for 7070/450, 5094/7497 is 2/374850.