GCF of 5708/304, 7664/467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5708/304, 7664/467 i.e 4/141968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5708/304, 7664/467.
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 5708/304,7664/467?
Given fractions are 5708/304,7664/467
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 5708/304,7664/467, numerators are 5708,7664
Denominators are 304,467
The GCF of 5708,7664 is 4 .
LCM of 304,467 is 141968.
The greatest common factor of 5708/304,7664/467 = [GCF of 5708,7664]/[LCM of 304,467]= 4/141968
Therefore, the GCF of 5708/304,7664/467 is 4/141968.
To find the highest common factor of 5708,7664, we have to find the factors of both numbers and list the highest common factor.
The factors of 5708 are 1, 2, 4, 1427, 2854, 5708
The factors of 7664 are 1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664
The HCF of 5708,7664 is 4.
Lets's calculate GCF of 5708,7664
| 2 | 5708, 7664 |
| 2 | 2854, 3832 |
| 1427, 1916 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5708,7664 By Matching Biggest Common Factor Method
Now, list down the factors of 5708
:1,2,4,1427,2854,5708
Now, list down the factors of 7664
:1,2,4,8,16,479,958,1916,3832,7664
Greatest Common Factor
We found the factors 5708,7664 . The biggest common factor number is the GCF number.
So the greatest common factor 5708,7664 is 4.
Lets's calculate LCM of 304,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 141968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/141968
Therefore, the GCF of Fractions 5708/304,7664/467 is 4/141968
Least Common Multiple of 304,467 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 304,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,467) x common factors =1 x 1 = 1
LCM(304,467) = ( 304 × 467 ) / 1
LCM(304,467) = 141968 / 1
LCM(304,467) = 141968
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FAQs on GCF of Fractions of 5708/304, 7664/467
1. What is the HCF of 5708,7664?
The HCF of 5708,7664 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 5708/304, 7664/467?
Answer: GCF of Numerators as per given numbers 5708/304, 7664/467 is
GCF of Numerators i.e. for 5708,7664 is 4
LCM of denominators i.e. for 304,467 is 141968.
Thus, GCF of Fractions is 4/141968.Finally, GCF of Fractions for 5708/304, 7664/467 is 4/141968.