GCF of 1749/867, 8194/8832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1749/867, 8194/8832 i.e 1/2552448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1749/867, 8194/8832.
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 1749/867,8194/8832?
Given fractions are 1749/867,8194/8832
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 1749/867,8194/8832, numerators are 1749,8194
Denominators are 867,8832
The GCF of 1749,8194 is 1 .
LCM of 867,8832 is 2552448.
The greatest common factor of 1749/867,8194/8832 = [GCF of 1749,8194]/[LCM of 867,8832]= 1/2552448
Therefore, the GCF of 1749/867,8194/8832 is 1/2552448.
To find the highest common factor of 1749,8194, we have to find the factors of both numbers and list the highest common factor.
The factors of 1749 are 1, 3, 11, 33, 53, 159, 583, 1749
The factors of 8194 are 1, 2, 17, 34, 241, 482, 4097, 8194
The HCF of 1749,8194 is 1.
Lets's calculate GCF of 1749,8194
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1749,8194 By Matching Biggest Common Factor Method
Now, list down the factors of 1749
:1,3,11,33,53,159,583,1749
Now, list down the factors of 8194
:1,2,17,34,241,482,4097,8194
Greatest Common Factor
We found the factors 1749,8194 . The biggest common factor number is the GCF number.
So the greatest common factor 1749,8194 is 1.
Lets's calculate LCM of 867,8832
| 3 | 867, 8832 |
| 289, 2944 |
∴ So the LCM of the given numbers is 3 x 289 x 2944 = 2552448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2552448
Therefore, the GCF of Fractions 1749/867,8194/8832 is 1/2552448
Least Common Multiple of 867,8832 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 867,8832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,8832) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,8832) x common factors =3 x 1 = 3
LCM(867,8832) = ( 867 × 8832 ) / 3
LCM(867,8832) = 7657344 / 3
LCM(867,8832) = 2552448
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FAQs on GCF of Fractions of 1749/867, 8194/8832
1. What is the HCF of 1749,8194?
The HCF of 1749,8194 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 1749/867, 8194/8832?
Answer: GCF of Numerators as per given numbers 1749/867, 8194/8832 is
GCF of Numerators i.e. for 1749,8194 is 1
LCM of denominators i.e. for 867,8832 is 2552448.
Thus, GCF of Fractions is 1/2552448.Finally, GCF of Fractions for 1749/867, 8194/8832 is 1/2552448.