GCF of 8352/788, 5291/994
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8352/788, 5291/994 i.e 1/391636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8352/788, 5291/994.
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 8352/788,5291/994?
Given fractions are 8352/788,5291/994
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 8352/788,5291/994, numerators are 8352,5291
Denominators are 788,994
The GCF of 8352,5291 is 1 .
LCM of 788,994 is 391636.
The greatest common factor of 8352/788,5291/994 = [GCF of 8352,5291]/[LCM of 788,994]= 1/391636
Therefore, the GCF of 8352/788,5291/994 is 1/391636.
To find the highest common factor of 8352,5291, we have to find the factors of both numbers and list the highest common factor.
The factors of 8352 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352
The factors of 5291 are 1, 11, 13, 37, 143, 407, 481, 5291
The HCF of 8352,5291 is 1.
Lets's calculate GCF of 8352,5291
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8352,5291 By Matching Biggest Common Factor Method
Now, list down the factors of 8352
:1,2,3,4,6,8,9,12,16,18,24,29,32,36,48,58,72,87,96,116,144,174,232,261,288,348,464,522,696,928,1044,1392,2088,2784,4176,8352
Now, list down the factors of 5291
:1,11,13,37,143,407,481,5291
Greatest Common Factor
We found the factors 8352,5291 . The biggest common factor number is the GCF number.
So the greatest common factor 8352,5291 is 1.
Lets's calculate LCM of 788,994
| 2 | 788, 994 |
| 394, 497 |
∴ So the LCM of the given numbers is 2 x 394 x 497 = 391636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/391636
Therefore, the GCF of Fractions 8352/788,5291/994 is 1/391636
Least Common Multiple of 788,994 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 788,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,994) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(788,994) x common factors =2 x 1 = 2
LCM(788,994) = ( 788 × 994 ) / 2
LCM(788,994) = 783272 / 2
LCM(788,994) = 391636
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FAQs on GCF of Fractions of 8352/788, 5291/994
1. What is the HCF of 8352,5291?
The HCF of 8352,5291 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 8352/788, 5291/994?
Answer: GCF of Numerators as per given numbers 8352/788, 5291/994 is
GCF of Numerators i.e. for 8352,5291 is 1
LCM of denominators i.e. for 788,994 is 391636.
Thus, GCF of Fractions is 1/391636.Finally, GCF of Fractions for 8352/788, 5291/994 is 1/391636.