GCF of 6664/491, 7276/8194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6664/491, 7276/8194 i.e 68/4023254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6664/491, 7276/8194.
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 6664/491,7276/8194?
Given fractions are 6664/491,7276/8194
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 6664/491,7276/8194, numerators are 6664,7276
Denominators are 491,8194
The GCF of 6664,7276 is 68 .
LCM of 491,8194 is 4023254.
The greatest common factor of 6664/491,7276/8194 = [GCF of 6664,7276]/[LCM of 491,8194]= 68/4023254
Therefore, the GCF of 6664/491,7276/8194 is 68/4023254.
To find the highest common factor of 6664,7276, 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 7276 are 1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276
The HCF of 6664,7276 is 68.
Lets's calculate GCF of 6664,7276
| 2 | 6664, 7276 |
| 2 | 3332, 3638 |
| 17 | 1666, 1819 |
| 98, 107 |
∴ So the GCF of the given numbers is 2 x 2 x 17 = 68
Greatest Common Factor of 6664,7276 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 7276
:1,2,4,17,34,68,107,214,428,1819,3638,7276
Greatest Common Factor
We found the factors 6664,7276 . The biggest common factor number is the GCF number.
So the greatest common factor 6664,7276 is 68.
Lets's calculate LCM of 491,8194
Given numbers has no common factors except 1. So, there LCM is their product i.e 4023254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/4023254
Therefore, the GCF of Fractions 6664/491,7276/8194 is 68/4023254
Least Common Multiple of 491,8194 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 491,8194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,8194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,8194) x common factors =1 x 1 = 1
LCM(491,8194) = ( 491 × 8194 ) / 1
LCM(491,8194) = 4023254 / 1
LCM(491,8194) = 4023254
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FAQs on GCF of Fractions of 6664/491, 7276/8194
1. What is the HCF of 6664,7276?
The HCF of 6664,7276 is 68
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 6664/491, 7276/8194?
Answer: GCF of Numerators as per given numbers 6664/491, 7276/8194 is
GCF of Numerators i.e. for 6664,7276 is 68
LCM of denominators i.e. for 491,8194 is 4023254.
Thus, GCF of Fractions is 68/4023254.Finally, GCF of Fractions for 6664/491, 7276/8194 is 68/4023254.