GCF of 3902/324, 1158/7492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3902/324, 1158/7492 i.e 2/606852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3902/324, 1158/7492.
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 3902/324,1158/7492?
Given fractions are 3902/324,1158/7492
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 3902/324,1158/7492, numerators are 3902,1158
Denominators are 324,7492
The GCF of 3902,1158 is 2 .
LCM of 324,7492 is 606852.
The greatest common factor of 3902/324,1158/7492 = [GCF of 3902,1158]/[LCM of 324,7492]= 2/606852
Therefore, the GCF of 3902/324,1158/7492 is 2/606852.
To find the highest common factor of 3902,1158, we have to find the factors of both numbers and list the highest common factor.
The factors of 3902 are 1, 2, 1951, 3902
The factors of 1158 are 1, 2, 3, 6, 193, 386, 579, 1158
The HCF of 3902,1158 is 2.
Lets's calculate GCF of 3902,1158
| 2 | 3902, 1158 |
| 1951, 579 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3902,1158 By Matching Biggest Common Factor Method
Now, list down the factors of 3902
:1,2,1951,3902
Now, list down the factors of 1158
:1,2,3,6,193,386,579,1158
Greatest Common Factor
We found the factors 3902,1158 . The biggest common factor number is the GCF number.
So the greatest common factor 3902,1158 is 2.
Lets's calculate LCM of 324,7492
| 2 | 324, 7492 |
| 2 | 162, 3746 |
| 81, 1873 |
∴ So the LCM of the given numbers is 2 x 2 x 81 x 1873 = 606852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/606852
Therefore, the GCF of Fractions 3902/324,1158/7492 is 2/606852
Least Common Multiple of 324,7492 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 324,7492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,7492) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(324,7492) x common factors =4 x 1 = 4
LCM(324,7492) = ( 324 × 7492 ) / 4
LCM(324,7492) = 2427408 / 4
LCM(324,7492) = 606852
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FAQs on GCF of Fractions of 3902/324, 1158/7492
1. What is the HCF of 3902,1158?
The HCF of 3902,1158 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 3902/324, 1158/7492?
Answer: GCF of Numerators as per given numbers 3902/324, 1158/7492 is
GCF of Numerators i.e. for 3902,1158 is 2
LCM of denominators i.e. for 324,7492 is 606852.
Thus, GCF of Fractions is 2/606852.Finally, GCF of Fractions for 3902/324, 1158/7492 is 2/606852.