GCF of 6664/688, 5908/3776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6664/688, 5908/3776 i.e 28/162368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6664/688, 5908/3776.
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 6664/688,5908/3776?
Given fractions are 6664/688,5908/3776
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 6664/688,5908/3776, numerators are 6664,5908
Denominators are 688,3776
The GCF of 6664,5908 is 28 .
LCM of 688,3776 is 162368.
The greatest common factor of 6664/688,5908/3776 = [GCF of 6664,5908]/[LCM of 688,3776]= 28/162368
Therefore, the GCF of 6664/688,5908/3776 is 28/162368.
To find the highest common factor of 6664,5908, we have to find the factors of both numbers and list the highest common factor.
The factors of 6664 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 49, 56, 68, 98, 119, 136, 196, 238, 392, 476, 833, 952, 1666, 3332, 6664
The factors of 5908 are 1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908
The HCF of 6664,5908 is 28.
Lets's calculate GCF of 6664,5908
| 2 | 6664, 5908 |
| 2 | 3332, 2954 |
| 7 | 1666, 1477 |
| 238, 211 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 6664,5908 By Matching Biggest Common Factor Method
Now, list down the factors of 6664
:1,2,4,7,8,14,17,28,34,49,56,68,98,119,136,196,238,392,476,833,952,1666,3332,6664
Now, list down the factors of 5908
:1,2,4,7,14,28,211,422,844,1477,2954,5908
Greatest Common Factor
We found the factors 6664,5908 . The biggest common factor number is the GCF number.
So the greatest common factor 6664,5908 is 28.
Lets's calculate LCM of 688,3776
| 2 | 688, 3776 |
| 2 | 344, 1888 |
| 2 | 172, 944 |
| 2 | 86, 472 |
| 43, 236 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 43 x 236 = 162368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/162368
Therefore, the GCF of Fractions 6664/688,5908/3776 is 28/162368
Least Common Multiple of 688,3776 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 688,3776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,3776) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(688,3776) x common factors =16 x 1 = 16
LCM(688,3776) = ( 688 × 3776 ) / 16
LCM(688,3776) = 2597888 / 16
LCM(688,3776) = 162368
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FAQs on GCF of Fractions of 6664/688, 5908/3776
1. What is the HCF of 6664,5908?
The HCF of 6664,5908 is 28
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 6664/688, 5908/3776?
Answer: GCF of Numerators as per given numbers 6664/688, 5908/3776 is
GCF of Numerators i.e. for 6664,5908 is 28
LCM of denominators i.e. for 688,3776 is 162368.
Thus, GCF of Fractions is 28/162368.Finally, GCF of Fractions for 6664/688, 5908/3776 is 28/162368.