GCF of 7259/916, 3366/6972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7259/916, 3366/6972 i.e 17/1596588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7259/916, 3366/6972.
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 7259/916,3366/6972?
Given fractions are 7259/916,3366/6972
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 7259/916,3366/6972, numerators are 7259,3366
Denominators are 916,6972
The GCF of 7259,3366 is 17 .
LCM of 916,6972 is 1596588.
The greatest common factor of 7259/916,3366/6972 = [GCF of 7259,3366]/[LCM of 916,6972]= 17/1596588
Therefore, the GCF of 7259/916,3366/6972 is 17/1596588.
To find the highest common factor of 7259,3366, we have to find the factors of both numbers and list the highest common factor.
The factors of 7259 are 1, 7, 17, 61, 119, 427, 1037, 7259
The factors of 3366 are 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366
The HCF of 7259,3366 is 17.
Lets's calculate GCF of 7259,3366
| 17 | 7259, 3366 |
| 427, 198 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 7259,3366 By Matching Biggest Common Factor Method
Now, list down the factors of 7259
:1,7,17,61,119,427,1037,7259
Now, list down the factors of 3366
:1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366
Greatest Common Factor
We found the factors 7259,3366 . The biggest common factor number is the GCF number.
So the greatest common factor 7259,3366 is 17.
Lets's calculate LCM of 916,6972
| 2 | 916, 6972 |
| 2 | 458, 3486 |
| 229, 1743 |
∴ So the LCM of the given numbers is 2 x 2 x 229 x 1743 = 1596588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1596588
Therefore, the GCF of Fractions 7259/916,3366/6972 is 17/1596588
Least Common Multiple of 916,6972 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 916,6972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,6972) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(916,6972) x common factors =4 x 1 = 4
LCM(916,6972) = ( 916 × 6972 ) / 4
LCM(916,6972) = 6386352 / 4
LCM(916,6972) = 1596588
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FAQs on GCF of Fractions of 7259/916, 3366/6972
1. What is the HCF of 7259,3366?
The HCF of 7259,3366 is 17
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 7259/916, 3366/6972?
Answer: GCF of Numerators as per given numbers 7259/916, 3366/6972 is
GCF of Numerators i.e. for 7259,3366 is 17
LCM of denominators i.e. for 916,6972 is 1596588.
Thus, GCF of Fractions is 17/1596588.Finally, GCF of Fractions for 7259/916, 3366/6972 is 17/1596588.