GCF of 5704/696, 8211/9094
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5704/696, 8211/9094 i.e 23/3164712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5704/696, 8211/9094.
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 5704/696,8211/9094?
Given fractions are 5704/696,8211/9094
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 5704/696,8211/9094, numerators are 5704,8211
Denominators are 696,9094
The GCF of 5704,8211 is 23 .
LCM of 696,9094 is 3164712.
The greatest common factor of 5704/696,8211/9094 = [GCF of 5704,8211]/[LCM of 696,9094]= 23/3164712
Therefore, the GCF of 5704/696,8211/9094 is 23/3164712.
To find the highest common factor of 5704,8211, 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 8211 are 1, 3, 7, 17, 21, 23, 51, 69, 119, 161, 357, 391, 483, 1173, 2737, 8211
The HCF of 5704,8211 is 23.
Lets's calculate GCF of 5704,8211
| 23 | 5704, 8211 |
| 248, 357 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 5704,8211 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 8211
:1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211
Greatest Common Factor
We found the factors 5704,8211 . The biggest common factor number is the GCF number.
So the greatest common factor 5704,8211 is 23.
Lets's calculate LCM of 696,9094
| 2 | 696, 9094 |
| 348, 4547 |
∴ So the LCM of the given numbers is 2 x 348 x 4547 = 3164712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/3164712
Therefore, the GCF of Fractions 5704/696,8211/9094 is 23/3164712
Least Common Multiple of 696,9094 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 696,9094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,9094) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(696,9094) x common factors =2 x 1 = 2
LCM(696,9094) = ( 696 × 9094 ) / 2
LCM(696,9094) = 6329424 / 2
LCM(696,9094) = 3164712
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FAQs on GCF of Fractions of 5704/696, 8211/9094
1. What is the HCF of 5704,8211?
The HCF of 5704,8211 is 23
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 5704/696, 8211/9094?
Answer: GCF of Numerators as per given numbers 5704/696, 8211/9094 is
GCF of Numerators i.e. for 5704,8211 is 23
LCM of denominators i.e. for 696,9094 is 3164712.
Thus, GCF of Fractions is 23/3164712.Finally, GCF of Fractions for 5704/696, 8211/9094 is 23/3164712.