GCF of 9022/308, 3788/3292
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9022/308, 3788/3292 i.e 2/253484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9022/308, 3788/3292.
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 9022/308,3788/3292?
Given fractions are 9022/308,3788/3292
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 9022/308,3788/3292, numerators are 9022,3788
Denominators are 308,3292
The GCF of 9022,3788 is 2 .
LCM of 308,3292 is 253484.
The greatest common factor of 9022/308,3788/3292 = [GCF of 9022,3788]/[LCM of 308,3292]= 2/253484
Therefore, the GCF of 9022/308,3788/3292 is 2/253484.
To find the highest common factor of 9022,3788, we have to find the factors of both numbers and list the highest common factor.
The factors of 9022 are 1, 2, 13, 26, 347, 694, 4511, 9022
The factors of 3788 are 1, 2, 4, 947, 1894, 3788
The HCF of 9022,3788 is 2.
Lets's calculate GCF of 9022,3788
| 2 | 9022, 3788 |
| 4511, 1894 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9022,3788 By Matching Biggest Common Factor Method
Now, list down the factors of 9022
:1,2,13,26,347,694,4511,9022
Now, list down the factors of 3788
:1,2,4,947,1894,3788
Greatest Common Factor
We found the factors 9022,3788 . The biggest common factor number is the GCF number.
So the greatest common factor 9022,3788 is 2.
Lets's calculate LCM of 308,3292
| 2 | 308, 3292 |
| 2 | 154, 1646 |
| 77, 823 |
∴ So the LCM of the given numbers is 2 x 2 x 77 x 823 = 253484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/253484
Therefore, the GCF of Fractions 9022/308,3788/3292 is 2/253484
Least Common Multiple of 308,3292 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 308,3292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,3292) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(308,3292) x common factors =4 x 1 = 4
LCM(308,3292) = ( 308 × 3292 ) / 4
LCM(308,3292) = 1013936 / 4
LCM(308,3292) = 253484
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FAQs on GCF of Fractions of 9022/308, 3788/3292
1. What is the HCF of 9022,3788?
The HCF of 9022,3788 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 9022/308, 3788/3292?
Answer: GCF of Numerators as per given numbers 9022/308, 3788/3292 is
GCF of Numerators i.e. for 9022,3788 is 2
LCM of denominators i.e. for 308,3292 is 253484.
Thus, GCF of Fractions is 2/253484.Finally, GCF of Fractions for 9022/308, 3788/3292 is 2/253484.