GCF of 9534/229, 7122/5103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9534/229, 7122/5103 i.e 6/1168587 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9534/229, 7122/5103.
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 9534/229,7122/5103?
Given fractions are 9534/229,7122/5103
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 9534/229,7122/5103, numerators are 9534,7122
Denominators are 229,5103
The GCF of 9534,7122 is 6 .
LCM of 229,5103 is 1168587.
The greatest common factor of 9534/229,7122/5103 = [GCF of 9534,7122]/[LCM of 229,5103]= 6/1168587
Therefore, the GCF of 9534/229,7122/5103 is 6/1168587.
To find the highest common factor of 9534,7122, we have to find the factors of both numbers and list the highest common factor.
The factors of 9534 are 1, 2, 3, 6, 7, 14, 21, 42, 227, 454, 681, 1362, 1589, 3178, 4767, 9534
The factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122
The HCF of 9534,7122 is 6.
Lets's calculate GCF of 9534,7122
| 2 | 9534, 7122 |
| 3 | 4767, 3561 |
| 1589, 1187 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9534,7122 By Matching Biggest Common Factor Method
Now, list down the factors of 9534
:1,2,3,6,7,14,21,42,227,454,681,1362,1589,3178,4767,9534
Now, list down the factors of 7122
:1,2,3,6,1187,2374,3561,7122
Greatest Common Factor
We found the factors 9534,7122 . The biggest common factor number is the GCF number.
So the greatest common factor 9534,7122 is 6.
Lets's calculate LCM of 229,5103
Given numbers has no common factors except 1. So, there LCM is their product i.e 1168587
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1168587
Therefore, the GCF of Fractions 9534/229,7122/5103 is 6/1168587
Least Common Multiple of 229,5103 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 229,5103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,5103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,5103) x common factors =1 x 1 = 1
LCM(229,5103) = ( 229 × 5103 ) / 1
LCM(229,5103) = 1168587 / 1
LCM(229,5103) = 1168587
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FAQs on GCF of Fractions of 9534/229, 7122/5103
1. What is the HCF of 9534,7122?
The HCF of 9534,7122 is 6
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 9534/229, 7122/5103?
Answer: GCF of Numerators as per given numbers 9534/229, 7122/5103 is
GCF of Numerators i.e. for 9534,7122 is 6
LCM of denominators i.e. for 229,5103 is 1168587.
Thus, GCF of Fractions is 6/1168587.Finally, GCF of Fractions for 9534/229, 7122/5103 is 6/1168587.