GCF of 1254/917, 5984/8889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1254/917, 5984/8889 i.e 22/8151213 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1254/917, 5984/8889.
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 1254/917,5984/8889?
Given fractions are 1254/917,5984/8889
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 1254/917,5984/8889, numerators are 1254,5984
Denominators are 917,8889
The GCF of 1254,5984 is 22 .
LCM of 917,8889 is 8151213.
The greatest common factor of 1254/917,5984/8889 = [GCF of 1254,5984]/[LCM of 917,8889]= 22/8151213
Therefore, the GCF of 1254/917,5984/8889 is 22/8151213.
To find the highest common factor of 1254,5984, we have to find the factors of both numbers and list the highest common factor.
The factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254
The factors of 5984 are 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984
The HCF of 1254,5984 is 22.
Lets's calculate GCF of 1254,5984
| 2 | 1254, 5984 |
| 11 | 627, 2992 |
| 57, 272 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 1254,5984 By Matching Biggest Common Factor Method
Now, list down the factors of 1254
:1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254
Now, list down the factors of 5984
:1,2,4,8,11,16,17,22,32,34,44,68,88,136,176,187,272,352,374,544,748,1496,2992,5984
Greatest Common Factor
We found the factors 1254,5984 . The biggest common factor number is the GCF number.
So the greatest common factor 1254,5984 is 22.
Lets's calculate LCM of 917,8889
Given numbers has no common factors except 1. So, there LCM is their product i.e 8151213
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/8151213
Therefore, the GCF of Fractions 1254/917,5984/8889 is 22/8151213
Least Common Multiple of 917,8889 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 917,8889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,8889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,8889) x common factors =1 x 1 = 1
LCM(917,8889) = ( 917 × 8889 ) / 1
LCM(917,8889) = 8151213 / 1
LCM(917,8889) = 8151213
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FAQs on GCF of Fractions of 1254/917, 5984/8889
1. What is the HCF of 1254,5984?
The HCF of 1254,5984 is 22
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 1254/917, 5984/8889?
Answer: GCF of Numerators as per given numbers 1254/917, 5984/8889 is
GCF of Numerators i.e. for 1254,5984 is 22
LCM of denominators i.e. for 917,8889 is 8151213.
Thus, GCF of Fractions is 22/8151213.Finally, GCF of Fractions for 1254/917, 5984/8889 is 22/8151213.