GCF of 3252/567, 7317/3151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3252/567, 7317/3151 i.e 813/1786617 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3252/567, 7317/3151.
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 3252/567,7317/3151?
Given fractions are 3252/567,7317/3151
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 3252/567,7317/3151, numerators are 3252,7317
Denominators are 567,3151
The GCF of 3252,7317 is 813 .
LCM of 567,3151 is 1786617.
The greatest common factor of 3252/567,7317/3151 = [GCF of 3252,7317]/[LCM of 567,3151]= 813/1786617
Therefore, the GCF of 3252/567,7317/3151 is 813/1786617.
To find the highest common factor of 3252,7317, we have to find the factors of both numbers and list the highest common factor.
The factors of 3252 are 1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626, 3252
The factors of 7317 are 1, 3, 9, 27, 271, 813, 2439, 7317
The HCF of 3252,7317 is 813.
Lets's calculate GCF of 3252,7317
| 3 | 3252, 7317 |
| 271 | 1084, 2439 |
| 4, 9 |
∴ So the GCF of the given numbers is 3 x 271 = 813
Greatest Common Factor of 3252,7317 By Matching Biggest Common Factor Method
Now, list down the factors of 3252
:1,2,3,4,6,12,271,542,813,1084,1626,3252
Now, list down the factors of 7317
:1,3,9,27,271,813,2439,7317
Greatest Common Factor
We found the factors 3252,7317 . The biggest common factor number is the GCF number.
So the greatest common factor 3252,7317 is 813.
Lets's calculate LCM of 567,3151
Given numbers has no common factors except 1. So, there LCM is their product i.e 1786617
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 813/1786617
Therefore, the GCF of Fractions 3252/567,7317/3151 is 813/1786617
Least Common Multiple of 567,3151 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 567,3151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,3151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,3151) x common factors =1 x 1 = 1
LCM(567,3151) = ( 567 × 3151 ) / 1
LCM(567,3151) = 1786617 / 1
LCM(567,3151) = 1786617
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FAQs on GCF of Fractions of 3252/567, 7317/3151
1. What is the HCF of 3252,7317?
The HCF of 3252,7317 is 813
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 3252/567, 7317/3151?
Answer: GCF of Numerators as per given numbers 3252/567, 7317/3151 is
GCF of Numerators i.e. for 3252,7317 is 813
LCM of denominators i.e. for 567,3151 is 1786617.
Thus, GCF of Fractions is 813/1786617.Finally, GCF of Fractions for 3252/567, 7317/3151 is 813/1786617.