GCF of 5312/662, 3184/6452
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5312/662, 3184/6452 i.e 16/2135612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5312/662, 3184/6452.
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 5312/662,3184/6452?
Given fractions are 5312/662,3184/6452
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 5312/662,3184/6452, numerators are 5312,3184
Denominators are 662,6452
The GCF of 5312,3184 is 16 .
LCM of 662,6452 is 2135612.
The greatest common factor of 5312/662,3184/6452 = [GCF of 5312,3184]/[LCM of 662,6452]= 16/2135612
Therefore, the GCF of 5312/662,3184/6452 is 16/2135612.
To find the highest common factor of 5312,3184, we have to find the factors of both numbers and list the highest common factor.
The factors of 5312 are 1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312
The factors of 3184 are 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184
The HCF of 5312,3184 is 16.
Lets's calculate GCF of 5312,3184
| 2 | 5312, 3184 |
| 2 | 2656, 1592 |
| 2 | 1328, 796 |
| 2 | 664, 398 |
| 332, 199 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5312,3184 By Matching Biggest Common Factor Method
Now, list down the factors of 5312
:1,2,4,8,16,32,64,83,166,332,664,1328,2656,5312
Now, list down the factors of 3184
:1,2,4,8,16,199,398,796,1592,3184
Greatest Common Factor
We found the factors 5312,3184 . The biggest common factor number is the GCF number.
So the greatest common factor 5312,3184 is 16.
Lets's calculate LCM of 662,6452
| 2 | 662, 6452 |
| 331, 3226 |
∴ So the LCM of the given numbers is 2 x 331 x 3226 = 2135612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2135612
Therefore, the GCF of Fractions 5312/662,3184/6452 is 16/2135612
Least Common Multiple of 662,6452 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 662,6452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,6452) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,6452) x common factors =2 x 1 = 2
LCM(662,6452) = ( 662 × 6452 ) / 2
LCM(662,6452) = 4271224 / 2
LCM(662,6452) = 2135612
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FAQs on GCF of Fractions of 5312/662, 3184/6452
1. What is the HCF of 5312,3184?
The HCF of 5312,3184 is 16
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 5312/662, 3184/6452?
Answer: GCF of Numerators as per given numbers 5312/662, 3184/6452 is
GCF of Numerators i.e. for 5312,3184 is 16
LCM of denominators i.e. for 662,6452 is 2135612.
Thus, GCF of Fractions is 16/2135612.Finally, GCF of Fractions for 5312/662, 3184/6452 is 16/2135612.