GCF of 5522/153, 8976/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5522/153, 8976/149 i.e 22/22797 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5522/153, 8976/149.
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 5522/153,8976/149?
Given fractions are 5522/153,8976/149
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 5522/153,8976/149, numerators are 5522,8976
Denominators are 153,149
The GCF of 5522,8976 is 22 .
LCM of 153,149 is 22797.
The greatest common factor of 5522/153,8976/149 = [GCF of 5522,8976]/[LCM of 153,149]= 22/22797
Therefore, the GCF of 5522/153,8976/149 is 22/22797.
To find the highest common factor of 5522,8976, we have to find the factors of both numbers and list the highest common factor.
The factors of 5522 are 1, 2, 11, 22, 251, 502, 2761, 5522
The factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976
The HCF of 5522,8976 is 22.
Lets's calculate GCF of 5522,8976
| 2 | 5522, 8976 |
| 11 | 2761, 4488 |
| 251, 408 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 5522,8976 By Matching Biggest Common Factor Method
Now, list down the factors of 5522
:1,2,11,22,251,502,2761,5522
Now, list down the factors of 8976
:1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976
Greatest Common Factor
We found the factors 5522,8976 . The biggest common factor number is the GCF number.
So the greatest common factor 5522,8976 is 22.
Lets's calculate LCM of 153,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 22797
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/22797
Therefore, the GCF of Fractions 5522/153,8976/149 is 22/22797
Least Common Multiple of 153,149 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 153,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,149) x common factors =1 x 1 = 1
LCM(153,149) = ( 153 × 149 ) / 1
LCM(153,149) = 22797 / 1
LCM(153,149) = 22797
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FAQs on GCF of Fractions of 5522/153, 8976/149
1. What is the HCF of 5522,8976?
The HCF of 5522,8976 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 5522/153, 8976/149?
Answer: GCF of Numerators as per given numbers 5522/153, 8976/149 is
GCF of Numerators i.e. for 5522,8976 is 22
LCM of denominators i.e. for 153,149 is 22797.
Thus, GCF of Fractions is 22/22797.Finally, GCF of Fractions for 5522/153, 8976/149 is 22/22797.