GCF of 8251/738, 1517/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8251/738, 1517/523 i.e 37/385974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8251/738, 1517/523.
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 8251/738,1517/523?
Given fractions are 8251/738,1517/523
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 8251/738,1517/523, numerators are 8251,1517
Denominators are 738,523
The GCF of 8251,1517 is 37 .
LCM of 738,523 is 385974.
The greatest common factor of 8251/738,1517/523 = [GCF of 8251,1517]/[LCM of 738,523]= 37/385974
Therefore, the GCF of 8251/738,1517/523 is 37/385974.
To find the highest common factor of 8251,1517, we have to find the factors of both numbers and list the highest common factor.
The factors of 8251 are 1, 37, 223, 8251
The factors of 1517 are 1, 37, 41, 1517
The HCF of 8251,1517 is 37.
Lets's calculate GCF of 8251,1517
| 37 | 8251, 1517 |
| 223, 41 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 8251,1517 By Matching Biggest Common Factor Method
Now, list down the factors of 8251
:1,37,223,8251
Now, list down the factors of 1517
:1,37,41,1517
Greatest Common Factor
We found the factors 8251,1517 . The biggest common factor number is the GCF number.
So the greatest common factor 8251,1517 is 37.
Lets's calculate LCM of 738,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 385974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/385974
Therefore, the GCF of Fractions 8251/738,1517/523 is 37/385974
Least Common Multiple of 738,523 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 738,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(738,523) x common factors =1 x 1 = 1
LCM(738,523) = ( 738 × 523 ) / 1
LCM(738,523) = 385974 / 1
LCM(738,523) = 385974
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FAQs on GCF of Fractions of 8251/738, 1517/523
1. What is the HCF of 8251,1517?
The HCF of 8251,1517 is 37
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 8251/738, 1517/523?
Answer: GCF of Numerators as per given numbers 8251/738, 1517/523 is
GCF of Numerators i.e. for 8251,1517 is 37
LCM of denominators i.e. for 738,523 is 385974.
Thus, GCF of Fractions is 37/385974.Finally, GCF of Fractions for 8251/738, 1517/523 is 37/385974.