GCF of 3283/152, 4543/8774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3283/152, 4543/8774 i.e 7/666824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3283/152, 4543/8774.
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 3283/152,4543/8774?
Given fractions are 3283/152,4543/8774
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 3283/152,4543/8774, numerators are 3283,4543
Denominators are 152,8774
The GCF of 3283,4543 is 7 .
LCM of 152,8774 is 666824.
The greatest common factor of 3283/152,4543/8774 = [GCF of 3283,4543]/[LCM of 152,8774]= 7/666824
Therefore, the GCF of 3283/152,4543/8774 is 7/666824.
To find the highest common factor of 3283,4543, we have to find the factors of both numbers and list the highest common factor.
The factors of 3283 are 1, 7, 49, 67, 469, 3283
The factors of 4543 are 1, 7, 11, 59, 77, 413, 649, 4543
The HCF of 3283,4543 is 7.
Lets's calculate GCF of 3283,4543
| 7 | 3283, 4543 |
| 469, 649 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3283,4543 By Matching Biggest Common Factor Method
Now, list down the factors of 3283
:1,7,49,67,469,3283
Now, list down the factors of 4543
:1,7,11,59,77,413,649,4543
Greatest Common Factor
We found the factors 3283,4543 . The biggest common factor number is the GCF number.
So the greatest common factor 3283,4543 is 7.
Lets's calculate LCM of 152,8774
| 2 | 152, 8774 |
| 76, 4387 |
∴ So the LCM of the given numbers is 2 x 76 x 4387 = 666824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/666824
Therefore, the GCF of Fractions 3283/152,4543/8774 is 7/666824
Least Common Multiple of 152,8774 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 152,8774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,8774) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(152,8774) x common factors =2 x 1 = 2
LCM(152,8774) = ( 152 × 8774 ) / 2
LCM(152,8774) = 1333648 / 2
LCM(152,8774) = 666824
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FAQs on GCF of Fractions of 3283/152, 4543/8774
1. What is the HCF of 3283,4543?
The HCF of 3283,4543 is 7
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 3283/152, 4543/8774?
Answer: GCF of Numerators as per given numbers 3283/152, 4543/8774 is
GCF of Numerators i.e. for 3283,4543 is 7
LCM of denominators i.e. for 152,8774 is 666824.
Thus, GCF of Fractions is 7/666824.Finally, GCF of Fractions for 3283/152, 4543/8774 is 7/666824.