GCF of 2452/831, 6784/4653
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2452/831, 6784/4653 i.e 4/1288881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2452/831, 6784/4653.
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 2452/831,6784/4653?
Given fractions are 2452/831,6784/4653
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 2452/831,6784/4653, numerators are 2452,6784
Denominators are 831,4653
The GCF of 2452,6784 is 4 .
LCM of 831,4653 is 1288881.
The greatest common factor of 2452/831,6784/4653 = [GCF of 2452,6784]/[LCM of 831,4653]= 4/1288881
Therefore, the GCF of 2452/831,6784/4653 is 4/1288881.
To find the highest common factor of 2452,6784, we have to find the factors of both numbers and list the highest common factor.
The factors of 2452 are 1, 2, 4, 613, 1226, 2452
The factors of 6784 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784
The HCF of 2452,6784 is 4.
Lets's calculate GCF of 2452,6784
| 2 | 2452, 6784 |
| 2 | 1226, 3392 |
| 613, 1696 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2452,6784 By Matching Biggest Common Factor Method
Now, list down the factors of 2452
:1,2,4,613,1226,2452
Now, list down the factors of 6784
:1,2,4,8,16,32,53,64,106,128,212,424,848,1696,3392,6784
Greatest Common Factor
We found the factors 2452,6784 . The biggest common factor number is the GCF number.
So the greatest common factor 2452,6784 is 4.
Lets's calculate LCM of 831,4653
| 3 | 831, 4653 |
| 277, 1551 |
∴ So the LCM of the given numbers is 3 x 277 x 1551 = 1288881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1288881
Therefore, the GCF of Fractions 2452/831,6784/4653 is 4/1288881
Least Common Multiple of 831,4653 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 831,4653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,4653) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(831,4653) x common factors =3 x 1 = 3
LCM(831,4653) = ( 831 × 4653 ) / 3
LCM(831,4653) = 3866643 / 3
LCM(831,4653) = 1288881
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FAQs on GCF of Fractions of 2452/831, 6784/4653
1. What is the HCF of 2452,6784?
The HCF of 2452,6784 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 2452/831, 6784/4653?
Answer: GCF of Numerators as per given numbers 2452/831, 6784/4653 is
GCF of Numerators i.e. for 2452,6784 is 4
LCM of denominators i.e. for 831,4653 is 1288881.
Thus, GCF of Fractions is 4/1288881.Finally, GCF of Fractions for 2452/831, 6784/4653 is 4/1288881.