GCF of 3277/753, 5481/5446
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3277/753, 5481/5446 i.e 29/4100838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3277/753, 5481/5446.
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 3277/753,5481/5446?
Given fractions are 3277/753,5481/5446
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 3277/753,5481/5446, numerators are 3277,5481
Denominators are 753,5446
The GCF of 3277,5481 is 29 .
LCM of 753,5446 is 4100838.
The greatest common factor of 3277/753,5481/5446 = [GCF of 3277,5481]/[LCM of 753,5446]= 29/4100838
Therefore, the GCF of 3277/753,5481/5446 is 29/4100838.
To find the highest common factor of 3277,5481, we have to find the factors of both numbers and list the highest common factor.
The factors of 3277 are 1, 29, 113, 3277
The factors of 5481 are 1, 3, 7, 9, 21, 27, 29, 63, 87, 189, 203, 261, 609, 783, 1827, 5481
The HCF of 3277,5481 is 29.
Lets's calculate GCF of 3277,5481
| 29 | 3277, 5481 |
| 113, 189 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 3277,5481 By Matching Biggest Common Factor Method
Now, list down the factors of 3277
:1,29,113,3277
Now, list down the factors of 5481
:1,3,7,9,21,27,29,63,87,189,203,261,609,783,1827,5481
Greatest Common Factor
We found the factors 3277,5481 . The biggest common factor number is the GCF number.
So the greatest common factor 3277,5481 is 29.
Lets's calculate LCM of 753,5446
Given numbers has no common factors except 1. So, there LCM is their product i.e 4100838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/4100838
Therefore, the GCF of Fractions 3277/753,5481/5446 is 29/4100838
Least Common Multiple of 753,5446 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 753,5446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,5446) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(753,5446) x common factors =1 x 1 = 1
LCM(753,5446) = ( 753 × 5446 ) / 1
LCM(753,5446) = 4100838 / 1
LCM(753,5446) = 4100838
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3277/753, 5481/5446
1. What is the HCF of 3277,5481?
The HCF of 3277,5481 is 29
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 3277/753, 5481/5446?
Answer: GCF of Numerators as per given numbers 3277/753, 5481/5446 is
GCF of Numerators i.e. for 3277,5481 is 29
LCM of denominators i.e. for 753,5446 is 4100838.
Thus, GCF of Fractions is 29/4100838.Finally, GCF of Fractions for 3277/753, 5481/5446 is 29/4100838.