GCF of 3278/202, 7601/3504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3278/202, 7601/3504 i.e 11/353904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3278/202, 7601/3504.
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 3278/202,7601/3504?
Given fractions are 3278/202,7601/3504
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 3278/202,7601/3504, numerators are 3278,7601
Denominators are 202,3504
The GCF of 3278,7601 is 11 .
LCM of 202,3504 is 353904.
The greatest common factor of 3278/202,7601/3504 = [GCF of 3278,7601]/[LCM of 202,3504]= 11/353904
Therefore, the GCF of 3278/202,7601/3504 is 11/353904.
To find the highest common factor of 3278,7601, we have to find the factors of both numbers and list the highest common factor.
The factors of 3278 are 1, 2, 11, 22, 149, 298, 1639, 3278
The factors of 7601 are 1, 11, 691, 7601
The HCF of 3278,7601 is 11.
Lets's calculate GCF of 3278,7601
| 11 | 3278, 7601 |
| 298, 691 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3278,7601 By Matching Biggest Common Factor Method
Now, list down the factors of 3278
:1,2,11,22,149,298,1639,3278
Now, list down the factors of 7601
:1,11,691,7601
Greatest Common Factor
We found the factors 3278,7601 . The biggest common factor number is the GCF number.
So the greatest common factor 3278,7601 is 11.
Lets's calculate LCM of 202,3504
| 2 | 202, 3504 |
| 101, 1752 |
∴ So the LCM of the given numbers is 2 x 101 x 1752 = 353904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/353904
Therefore, the GCF of Fractions 3278/202,7601/3504 is 11/353904
Least Common Multiple of 202,3504 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 202,3504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,3504) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,3504) x common factors =2 x 1 = 2
LCM(202,3504) = ( 202 × 3504 ) / 2
LCM(202,3504) = 707808 / 2
LCM(202,3504) = 353904
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3278/202, 7601/3504
1. What is the HCF of 3278,7601?
The HCF of 3278,7601 is 11
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 3278/202, 7601/3504?
Answer: GCF of Numerators as per given numbers 3278/202, 7601/3504 is
GCF of Numerators i.e. for 3278,7601 is 11
LCM of denominators i.e. for 202,3504 is 353904.
Thus, GCF of Fractions is 11/353904.Finally, GCF of Fractions for 3278/202, 7601/3504 is 11/353904.