GCF of 3252/916, 8322/253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3252/916, 8322/253 i.e 6/231748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3252/916, 8322/253.
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 3252/916,8322/253?
Given fractions are 3252/916,8322/253
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 3252/916,8322/253, numerators are 3252,8322
Denominators are 916,253
The GCF of 3252,8322 is 6 .
LCM of 916,253 is 231748.
The greatest common factor of 3252/916,8322/253 = [GCF of 3252,8322]/[LCM of 916,253]= 6/231748
Therefore, the GCF of 3252/916,8322/253 is 6/231748.
To find the highest common factor of 3252,8322, 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 8322 are 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322
The HCF of 3252,8322 is 6.
Lets's calculate GCF of 3252,8322
| 2 | 3252, 8322 |
| 3 | 1626, 4161 |
| 542, 1387 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3252,8322 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 8322
:1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322
Greatest Common Factor
We found the factors 3252,8322 . The biggest common factor number is the GCF number.
So the greatest common factor 3252,8322 is 6.
Lets's calculate LCM of 916,253
Given numbers has no common factors except 1. So, there LCM is their product i.e 231748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/231748
Therefore, the GCF of Fractions 3252/916,8322/253 is 6/231748
Least Common Multiple of 916,253 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 916,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(916,253) x common factors =1 x 1 = 1
LCM(916,253) = ( 916 × 253 ) / 1
LCM(916,253) = 231748 / 1
LCM(916,253) = 231748
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FAQs on GCF of Fractions of 3252/916, 8322/253
1. What is the HCF of 3252,8322?
The HCF of 3252,8322 is 6
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 3252/916, 8322/253?
Answer: GCF of Numerators as per given numbers 3252/916, 8322/253 is
GCF of Numerators i.e. for 3252,8322 is 6
LCM of denominators i.e. for 916,253 is 231748.
Thus, GCF of Fractions is 6/231748.Finally, GCF of Fractions for 3252/916, 8322/253 is 6/231748.