GCF of 8788/849, 2913/3951
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8788/849, 2913/3951 i.e 1/1118133 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8788/849, 2913/3951.
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 8788/849,2913/3951?
Given fractions are 8788/849,2913/3951
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 8788/849,2913/3951, numerators are 8788,2913
Denominators are 849,3951
The GCF of 8788,2913 is 1 .
LCM of 849,3951 is 1118133.
The greatest common factor of 8788/849,2913/3951 = [GCF of 8788,2913]/[LCM of 849,3951]= 1/1118133
Therefore, the GCF of 8788/849,2913/3951 is 1/1118133.
To find the highest common factor of 8788,2913, we have to find the factors of both numbers and list the highest common factor.
The factors of 8788 are 1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788
The factors of 2913 are 1, 3, 971, 2913
The HCF of 8788,2913 is 1.
Lets's calculate GCF of 8788,2913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8788,2913 By Matching Biggest Common Factor Method
Now, list down the factors of 8788
:1,2,4,13,26,52,169,338,676,2197,4394,8788
Now, list down the factors of 2913
:1,3,971,2913
Greatest Common Factor
We found the factors 8788,2913 . The biggest common factor number is the GCF number.
So the greatest common factor 8788,2913 is 1.
Lets's calculate LCM of 849,3951
| 3 | 849, 3951 |
| 283, 1317 |
∴ So the LCM of the given numbers is 3 x 283 x 1317 = 1118133
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1118133
Therefore, the GCF of Fractions 8788/849,2913/3951 is 1/1118133
Least Common Multiple of 849,3951 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 849,3951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,3951) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(849,3951) x common factors =3 x 1 = 3
LCM(849,3951) = ( 849 × 3951 ) / 3
LCM(849,3951) = 3354399 / 3
LCM(849,3951) = 1118133
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FAQs on GCF of Fractions of 8788/849, 2913/3951
1. What is the HCF of 8788,2913?
The HCF of 8788,2913 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 8788/849, 2913/3951?
Answer: GCF of Numerators as per given numbers 8788/849, 2913/3951 is
GCF of Numerators i.e. for 8788,2913 is 1
LCM of denominators i.e. for 849,3951 is 1118133.
Thus, GCF of Fractions is 1/1118133.Finally, GCF of Fractions for 8788/849, 2913/3951 is 1/1118133.