GCF of 7251/109, 5424/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7251/109, 5424/523 i.e 3/57007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7251/109, 5424/523.
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 7251/109,5424/523?
Given fractions are 7251/109,5424/523
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 7251/109,5424/523, numerators are 7251,5424
Denominators are 109,523
The GCF of 7251,5424 is 3 .
LCM of 109,523 is 57007.
The greatest common factor of 7251/109,5424/523 = [GCF of 7251,5424]/[LCM of 109,523]= 3/57007
Therefore, the GCF of 7251/109,5424/523 is 3/57007.
To find the highest common factor of 7251,5424, we have to find the factors of both numbers and list the highest common factor.
The factors of 7251 are 1, 3, 2417, 7251
The factors of 5424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424
The HCF of 7251,5424 is 3.
Lets's calculate GCF of 7251,5424
| 3 | 7251, 5424 |
| 2417, 1808 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7251,5424 By Matching Biggest Common Factor Method
Now, list down the factors of 7251
:1,3,2417,7251
Now, list down the factors of 5424
:1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424
Greatest Common Factor
We found the factors 7251,5424 . The biggest common factor number is the GCF number.
So the greatest common factor 7251,5424 is 3.
Lets's calculate LCM of 109,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 57007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/57007
Therefore, the GCF of Fractions 7251/109,5424/523 is 3/57007
Least Common Multiple of 109,523 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 109,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,523) x common factors =1 x 1 = 1
LCM(109,523) = ( 109 × 523 ) / 1
LCM(109,523) = 57007 / 1
LCM(109,523) = 57007
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FAQs on GCF of Fractions of 7251/109, 5424/523
1. What is the HCF of 7251,5424?
The HCF of 7251,5424 is 3
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 7251/109, 5424/523?
Answer: GCF of Numerators as per given numbers 7251/109, 5424/523 is
GCF of Numerators i.e. for 7251,5424 is 3
LCM of denominators i.e. for 109,523 is 57007.
Thus, GCF of Fractions is 3/57007.Finally, GCF of Fractions for 7251/109, 5424/523 is 3/57007.