GCF of 9130/391, 3432/801
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9130/391, 3432/801 i.e 22/313191 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9130/391, 3432/801.
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 9130/391,3432/801?
Given fractions are 9130/391,3432/801
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 9130/391,3432/801, numerators are 9130,3432
Denominators are 391,801
The GCF of 9130,3432 is 22 .
LCM of 391,801 is 313191.
The greatest common factor of 9130/391,3432/801 = [GCF of 9130,3432]/[LCM of 391,801]= 22/313191
Therefore, the GCF of 9130/391,3432/801 is 22/313191.
To find the highest common factor of 9130,3432, we have to find the factors of both numbers and list the highest common factor.
The factors of 9130 are 1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130
The factors of 3432 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716, 3432
The HCF of 9130,3432 is 22.
Lets's calculate GCF of 9130,3432
| 2 | 9130, 3432 |
| 11 | 4565, 1716 |
| 415, 156 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 9130,3432 By Matching Biggest Common Factor Method
Now, list down the factors of 9130
:1,2,5,10,11,22,55,83,110,166,415,830,913,1826,4565,9130
Now, list down the factors of 3432
:1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432
Greatest Common Factor
We found the factors 9130,3432 . The biggest common factor number is the GCF number.
So the greatest common factor 9130,3432 is 22.
Lets's calculate LCM of 391,801
Given numbers has no common factors except 1. So, there LCM is their product i.e 313191
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/313191
Therefore, the GCF of Fractions 9130/391,3432/801 is 22/313191
Least Common Multiple of 391,801 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 391,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,801) x common factors =1 x 1 = 1
LCM(391,801) = ( 391 × 801 ) / 1
LCM(391,801) = 313191 / 1
LCM(391,801) = 313191
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FAQs on GCF of Fractions of 9130/391, 3432/801
1. What is the HCF of 9130,3432?
The HCF of 9130,3432 is 22
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 9130/391, 3432/801?
Answer: GCF of Numerators as per given numbers 9130/391, 3432/801 is
GCF of Numerators i.e. for 9130,3432 is 22
LCM of denominators i.e. for 391,801 is 313191.
Thus, GCF of Fractions is 22/313191.Finally, GCF of Fractions for 9130/391, 3432/801 is 22/313191.