GCF of 3203/828, 1557/5241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3203/828, 1557/5241 i.e 1/1446516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3203/828, 1557/5241.
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 3203/828,1557/5241?
Given fractions are 3203/828,1557/5241
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 3203/828,1557/5241, numerators are 3203,1557
Denominators are 828,5241
The GCF of 3203,1557 is 1 .
LCM of 828,5241 is 1446516.
The greatest common factor of 3203/828,1557/5241 = [GCF of 3203,1557]/[LCM of 828,5241]= 1/1446516
Therefore, the GCF of 3203/828,1557/5241 is 1/1446516.
To find the highest common factor of 3203,1557, we have to find the factors of both numbers and list the highest common factor.
The factors of 3203 are 1, 3203
The factors of 1557 are 1, 3, 9, 173, 519, 1557
The HCF of 3203,1557 is 1.
Lets's calculate GCF of 3203,1557
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3203,1557 By Matching Biggest Common Factor Method
Now, list down the factors of 3203
:1,3203
Now, list down the factors of 1557
:1,3,9,173,519,1557
Greatest Common Factor
We found the factors 3203,1557 . The biggest common factor number is the GCF number.
So the greatest common factor 3203,1557 is 1.
Lets's calculate LCM of 828,5241
| 3 | 828, 5241 |
| 276, 1747 |
∴ So the LCM of the given numbers is 3 x 276 x 1747 = 1446516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1446516
Therefore, the GCF of Fractions 3203/828,1557/5241 is 1/1446516
Least Common Multiple of 828,5241 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 828,5241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,5241) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(828,5241) x common factors =3 x 1 = 3
LCM(828,5241) = ( 828 × 5241 ) / 3
LCM(828,5241) = 4339548 / 3
LCM(828,5241) = 1446516
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3203/828, 1557/5241
1. What is the HCF of 3203,1557?
The HCF of 3203,1557 is 1
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 3203/828, 1557/5241?
Answer: GCF of Numerators as per given numbers 3203/828, 1557/5241 is
GCF of Numerators i.e. for 3203,1557 is 1
LCM of denominators i.e. for 828,5241 is 1446516.
Thus, GCF of Fractions is 1/1446516.Finally, GCF of Fractions for 3203/828, 1557/5241 is 1/1446516.