GCF of 7304/210, 8982/5838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7304/210, 8982/5838 i.e 2/29190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7304/210, 8982/5838.
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 7304/210,8982/5838?
Given fractions are 7304/210,8982/5838
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 7304/210,8982/5838, numerators are 7304,8982
Denominators are 210,5838
The GCF of 7304,8982 is 2 .
LCM of 210,5838 is 29190.
The greatest common factor of 7304/210,8982/5838 = [GCF of 7304,8982]/[LCM of 210,5838]= 2/29190
Therefore, the GCF of 7304/210,8982/5838 is 2/29190.
To find the highest common factor of 7304,8982, we have to find the factors of both numbers and list the highest common factor.
The factors of 7304 are 1, 2, 4, 8, 11, 22, 44, 83, 88, 166, 332, 664, 913, 1826, 3652, 7304
The factors of 8982 are 1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491, 8982
The HCF of 7304,8982 is 2.
Lets's calculate GCF of 7304,8982
| 2 | 7304, 8982 |
| 3652, 4491 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7304,8982 By Matching Biggest Common Factor Method
Now, list down the factors of 7304
:1,2,4,8,11,22,44,83,88,166,332,664,913,1826,3652,7304
Now, list down the factors of 8982
:1,2,3,6,9,18,499,998,1497,2994,4491,8982
Greatest Common Factor
We found the factors 7304,8982 . The biggest common factor number is the GCF number.
So the greatest common factor 7304,8982 is 2.
Lets's calculate LCM of 210,5838
| 2 | 210, 5838 |
| 3 | 105, 2919 |
| 7 | 35, 973 |
| 5, 139 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 139 = 29190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29190
Therefore, the GCF of Fractions 7304/210,8982/5838 is 2/29190
Least Common Multiple of 210,5838 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 210,5838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,5838) = 42
common factors(in case of two or more numbers have common factors) = 1
GCF(210,5838) x common factors =42 x 1 = 42
LCM(210,5838) = ( 210 × 5838 ) / 42
LCM(210,5838) = 1225980 / 42
LCM(210,5838) = 29190
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FAQs on GCF of Fractions of 7304/210, 8982/5838
1. What is the HCF of 7304,8982?
The HCF of 7304,8982 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 7304/210, 8982/5838?
Answer: GCF of Numerators as per given numbers 7304/210, 8982/5838 is
GCF of Numerators i.e. for 7304,8982 is 2
LCM of denominators i.e. for 210,5838 is 29190.
Thus, GCF of Fractions is 2/29190.Finally, GCF of Fractions for 7304/210, 8982/5838 is 2/29190.