GCF of 5704/668, 5463/1302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5704/668, 5463/1302 i.e 1/434868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5704/668, 5463/1302.
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 5704/668,5463/1302?
Given fractions are 5704/668,5463/1302
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 5704/668,5463/1302, numerators are 5704,5463
Denominators are 668,1302
The GCF of 5704,5463 is 1 .
LCM of 668,1302 is 434868.
The greatest common factor of 5704/668,5463/1302 = [GCF of 5704,5463]/[LCM of 668,1302]= 1/434868
Therefore, the GCF of 5704/668,5463/1302 is 1/434868.
To find the highest common factor of 5704,5463, we have to find the factors of both numbers and list the highest common factor.
The factors of 5704 are 1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704
The factors of 5463 are 1, 3, 9, 607, 1821, 5463
The HCF of 5704,5463 is 1.
Lets's calculate GCF of 5704,5463
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5704,5463 By Matching Biggest Common Factor Method
Now, list down the factors of 5704
:1,2,4,8,23,31,46,62,92,124,184,248,713,1426,2852,5704
Now, list down the factors of 5463
:1,3,9,607,1821,5463
Greatest Common Factor
We found the factors 5704,5463 . The biggest common factor number is the GCF number.
So the greatest common factor 5704,5463 is 1.
Lets's calculate LCM of 668,1302
| 2 | 668, 1302 |
| 334, 651 |
∴ So the LCM of the given numbers is 2 x 334 x 651 = 434868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/434868
Therefore, the GCF of Fractions 5704/668,5463/1302 is 1/434868
Least Common Multiple of 668,1302 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 668,1302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,1302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(668,1302) x common factors =2 x 1 = 2
LCM(668,1302) = ( 668 × 1302 ) / 2
LCM(668,1302) = 869736 / 2
LCM(668,1302) = 434868
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FAQs on GCF of Fractions of 5704/668, 5463/1302
1. What is the HCF of 5704,5463?
The HCF of 5704,5463 is 1
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 5704/668, 5463/1302?
Answer: GCF of Numerators as per given numbers 5704/668, 5463/1302 is
GCF of Numerators i.e. for 5704,5463 is 1
LCM of denominators i.e. for 668,1302 is 434868.
Thus, GCF of Fractions is 1/434868.Finally, GCF of Fractions for 5704/668, 5463/1302 is 1/434868.