GCF of 6332/471, 3208/1912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6332/471, 3208/1912 i.e 4/900552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6332/471, 3208/1912.
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 6332/471,3208/1912?
Given fractions are 6332/471,3208/1912
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 6332/471,3208/1912, numerators are 6332,3208
Denominators are 471,1912
The GCF of 6332,3208 is 4 .
LCM of 471,1912 is 900552.
The greatest common factor of 6332/471,3208/1912 = [GCF of 6332,3208]/[LCM of 471,1912]= 4/900552
Therefore, the GCF of 6332/471,3208/1912 is 4/900552.
To find the highest common factor of 6332,3208, we have to find the factors of both numbers and list the highest common factor.
The factors of 6332 are 1, 2, 4, 1583, 3166, 6332
The factors of 3208 are 1, 2, 4, 8, 401, 802, 1604, 3208
The HCF of 6332,3208 is 4.
Lets's calculate GCF of 6332,3208
| 2 | 6332, 3208 |
| 2 | 3166, 1604 |
| 1583, 802 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6332,3208 By Matching Biggest Common Factor Method
Now, list down the factors of 6332
:1,2,4,1583,3166,6332
Now, list down the factors of 3208
:1,2,4,8,401,802,1604,3208
Greatest Common Factor
We found the factors 6332,3208 . The biggest common factor number is the GCF number.
So the greatest common factor 6332,3208 is 4.
Lets's calculate LCM of 471,1912
Given numbers has no common factors except 1. So, there LCM is their product i.e 900552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/900552
Therefore, the GCF of Fractions 6332/471,3208/1912 is 4/900552
Least Common Multiple of 471,1912 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 471,1912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,1912) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(471,1912) x common factors =1 x 1 = 1
LCM(471,1912) = ( 471 × 1912 ) / 1
LCM(471,1912) = 900552 / 1
LCM(471,1912) = 900552
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FAQs on GCF of Fractions of 6332/471, 3208/1912
1. What is the HCF of 6332,3208?
The HCF of 6332,3208 is 4
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 6332/471, 3208/1912?
Answer: GCF of Numerators as per given numbers 6332/471, 3208/1912 is
GCF of Numerators i.e. for 6332,3208 is 4
LCM of denominators i.e. for 471,1912 is 900552.
Thus, GCF of Fractions is 4/900552.Finally, GCF of Fractions for 6332/471, 3208/1912 is 4/900552.