GCF of 7070/804, 7256/268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7070/804, 7256/268 i.e 2/804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7070/804, 7256/268.
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 7070/804,7256/268?
Given fractions are 7070/804,7256/268
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 7070/804,7256/268, numerators are 7070,7256
Denominators are 804,268
The GCF of 7070,7256 is 2 .
LCM of 804,268 is 804.
The greatest common factor of 7070/804,7256/268 = [GCF of 7070,7256]/[LCM of 804,268]= 2/804
Therefore, the GCF of 7070/804,7256/268 is 2/804.
To find the highest common factor of 7070,7256, 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 7256 are 1, 2, 4, 8, 907, 1814, 3628, 7256
The HCF of 7070,7256 is 2.
Lets's calculate GCF of 7070,7256
| 2 | 7070, 7256 |
| 3535, 3628 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7070,7256 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 7256
:1,2,4,8,907,1814,3628,7256
Greatest Common Factor
We found the factors 7070,7256 . The biggest common factor number is the GCF number.
So the greatest common factor 7070,7256 is 2.
Lets's calculate LCM of 804,268
| 2 | 804, 268 |
| 2 | 402, 134 |
| 67 | 201, 67 |
| 3, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 67 x 3 x 1 = 804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/804
Therefore, the GCF of Fractions 7070/804,7256/268 is 2/804
Least Common Multiple of 804,268 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 804,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,268) = 268
common factors(in case of two or more numbers have common factors) = 1
GCF(804,268) x common factors =268 x 1 = 268
LCM(804,268) = ( 804 × 268 ) / 268
LCM(804,268) = 215472 / 268
LCM(804,268) = 804
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FAQs on GCF of Fractions of 7070/804, 7256/268
1. What is the HCF of 7070,7256?
The HCF of 7070,7256 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 7070/804, 7256/268?
Answer: GCF of Numerators as per given numbers 7070/804, 7256/268 is
GCF of Numerators i.e. for 7070,7256 is 2
LCM of denominators i.e. for 804,268 is 804.
Thus, GCF of Fractions is 2/804.Finally, GCF of Fractions for 7070/804, 7256/268 is 2/804.