GCF of 528/282, 7318/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 528/282, 7318/409 i.e 2/115338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 528/282, 7318/409.
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 528/282,7318/409?
Given fractions are 528/282,7318/409
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 528/282,7318/409, numerators are 528,7318
Denominators are 282,409
The GCF of 528,7318 is 2 .
LCM of 282,409 is 115338.
The greatest common factor of 528/282,7318/409 = [GCF of 528,7318]/[LCM of 282,409]= 2/115338
Therefore, the GCF of 528/282,7318/409 is 2/115338.
To find the highest common factor of 528,7318, we have to find the factors of both numbers and list the highest common factor.
The factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
The factors of 7318 are 1, 2, 3659, 7318
The HCF of 528,7318 is 2.
Lets's calculate GCF of 528,7318
| 2 | 528, 7318 |
| 264, 3659 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 528,7318 By Matching Biggest Common Factor Method
Now, list down the factors of 528
:1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Now, list down the factors of 7318
:1,2,3659,7318
Greatest Common Factor
We found the factors 528,7318 . The biggest common factor number is the GCF number.
So the greatest common factor 528,7318 is 2.
Lets's calculate LCM of 282,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 115338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/115338
Therefore, the GCF of Fractions 528/282,7318/409 is 2/115338
Least Common Multiple of 282,409 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 282,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,409) x common factors =1 x 1 = 1
LCM(282,409) = ( 282 × 409 ) / 1
LCM(282,409) = 115338 / 1
LCM(282,409) = 115338
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FAQs on GCF of Fractions of 528/282, 7318/409
1. What is the HCF of 528,7318?
The HCF of 528,7318 is 2
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 528/282, 7318/409?
Answer: GCF of Numerators as per given numbers 528/282, 7318/409 is
GCF of Numerators i.e. for 528,7318 is 2
LCM of denominators i.e. for 282,409 is 115338.
Thus, GCF of Fractions is 2/115338.Finally, GCF of Fractions for 528/282, 7318/409 is 2/115338.