GCF of 7388/259, 8268/1601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7388/259, 8268/1601 i.e 4/414659 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7388/259, 8268/1601.
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 7388/259,8268/1601?
Given fractions are 7388/259,8268/1601
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 7388/259,8268/1601, numerators are 7388,8268
Denominators are 259,1601
The GCF of 7388,8268 is 4 .
LCM of 259,1601 is 414659.
The greatest common factor of 7388/259,8268/1601 = [GCF of 7388,8268]/[LCM of 259,1601]= 4/414659
Therefore, the GCF of 7388/259,8268/1601 is 4/414659.
To find the highest common factor of 7388,8268, we have to find the factors of both numbers and list the highest common factor.
The factors of 7388 are 1, 2, 4, 1847, 3694, 7388
The factors of 8268 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268
The HCF of 7388,8268 is 4.
Lets's calculate GCF of 7388,8268
| 2 | 7388, 8268 |
| 2 | 3694, 4134 |
| 1847, 2067 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7388,8268 By Matching Biggest Common Factor Method
Now, list down the factors of 7388
:1,2,4,1847,3694,7388
Now, list down the factors of 8268
:1,2,3,4,6,12,13,26,39,52,53,78,106,156,159,212,318,636,689,1378,2067,2756,4134,8268
Greatest Common Factor
We found the factors 7388,8268 . The biggest common factor number is the GCF number.
So the greatest common factor 7388,8268 is 4.
Lets's calculate LCM of 259,1601
Given numbers has no common factors except 1. So, there LCM is their product i.e 414659
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/414659
Therefore, the GCF of Fractions 7388/259,8268/1601 is 4/414659
Least Common Multiple of 259,1601 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 259,1601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,1601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,1601) x common factors =1 x 1 = 1
LCM(259,1601) = ( 259 × 1601 ) / 1
LCM(259,1601) = 414659 / 1
LCM(259,1601) = 414659
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FAQs on GCF of Fractions of 7388/259, 8268/1601
1. What is the HCF of 7388,8268?
The HCF of 7388,8268 is 4
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 7388/259, 8268/1601?
Answer: GCF of Numerators as per given numbers 7388/259, 8268/1601 is
GCF of Numerators i.e. for 7388,8268 is 4
LCM of denominators i.e. for 259,1601 is 414659.
Thus, GCF of Fractions is 4/414659.Finally, GCF of Fractions for 7388/259, 8268/1601 is 4/414659.