GCF of 3741/686, 9152/9279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3741/686, 9152/9279 i.e 1/6365394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3741/686, 9152/9279.
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 3741/686,9152/9279?
Given fractions are 3741/686,9152/9279
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 3741/686,9152/9279, numerators are 3741,9152
Denominators are 686,9279
The GCF of 3741,9152 is 1 .
LCM of 686,9279 is 6365394.
The greatest common factor of 3741/686,9152/9279 = [GCF of 3741,9152]/[LCM of 686,9279]= 1/6365394
Therefore, the GCF of 3741/686,9152/9279 is 1/6365394.
To find the highest common factor of 3741,9152, we have to find the factors of both numbers and list the highest common factor.
The factors of 3741 are 1, 3, 29, 43, 87, 129, 1247, 3741
The factors of 9152 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152
The HCF of 3741,9152 is 1.
Lets's calculate GCF of 3741,9152
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3741,9152 By Matching Biggest Common Factor Method
Now, list down the factors of 3741
:1,3,29,43,87,129,1247,3741
Now, list down the factors of 9152
:1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152
Greatest Common Factor
We found the factors 3741,9152 . The biggest common factor number is the GCF number.
So the greatest common factor 3741,9152 is 1.
Lets's calculate LCM of 686,9279
Given numbers has no common factors except 1. So, there LCM is their product i.e 6365394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6365394
Therefore, the GCF of Fractions 3741/686,9152/9279 is 1/6365394
Least Common Multiple of 686,9279 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 686,9279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,9279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,9279) x common factors =1 x 1 = 1
LCM(686,9279) = ( 686 × 9279 ) / 1
LCM(686,9279) = 6365394 / 1
LCM(686,9279) = 6365394
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FAQs on GCF of Fractions of 3741/686, 9152/9279
1. What is the HCF of 3741,9152?
The HCF of 3741,9152 is 1
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 3741/686, 9152/9279?
Answer: GCF of Numerators as per given numbers 3741/686, 9152/9279 is
GCF of Numerators i.e. for 3741,9152 is 1
LCM of denominators i.e. for 686,9279 is 6365394.
Thus, GCF of Fractions is 1/6365394.Finally, GCF of Fractions for 3741/686, 9152/9279 is 1/6365394.