GCF of 9691/921, 9294/3154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9691/921, 9294/3154 i.e 1/2904834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9691/921, 9294/3154.
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 9691/921,9294/3154?
Given fractions are 9691/921,9294/3154
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 9691/921,9294/3154, numerators are 9691,9294
Denominators are 921,3154
The GCF of 9691,9294 is 1 .
LCM of 921,3154 is 2904834.
The greatest common factor of 9691/921,9294/3154 = [GCF of 9691,9294]/[LCM of 921,3154]= 1/2904834
Therefore, the GCF of 9691/921,9294/3154 is 1/2904834.
To find the highest common factor of 9691,9294, we have to find the factors of both numbers and list the highest common factor.
The factors of 9691 are 1, 11, 881, 9691
The factors of 9294 are 1, 2, 3, 6, 1549, 3098, 4647, 9294
The HCF of 9691,9294 is 1.
Lets's calculate GCF of 9691,9294
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9691,9294 By Matching Biggest Common Factor Method
Now, list down the factors of 9691
:1,11,881,9691
Now, list down the factors of 9294
:1,2,3,6,1549,3098,4647,9294
Greatest Common Factor
We found the factors 9691,9294 . The biggest common factor number is the GCF number.
So the greatest common factor 9691,9294 is 1.
Lets's calculate LCM of 921,3154
Given numbers has no common factors except 1. So, there LCM is their product i.e 2904834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2904834
Therefore, the GCF of Fractions 9691/921,9294/3154 is 1/2904834
Least Common Multiple of 921,3154 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 921,3154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,3154) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,3154) x common factors =1 x 1 = 1
LCM(921,3154) = ( 921 × 3154 ) / 1
LCM(921,3154) = 2904834 / 1
LCM(921,3154) = 2904834
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9691/921, 9294/3154
1. What is the HCF of 9691,9294?
The HCF of 9691,9294 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 9691/921, 9294/3154?
Answer: GCF of Numerators as per given numbers 9691/921, 9294/3154 is
GCF of Numerators i.e. for 9691,9294 is 1
LCM of denominators i.e. for 921,3154 is 2904834.
Thus, GCF of Fractions is 1/2904834.Finally, GCF of Fractions for 9691/921, 9294/3154 is 1/2904834.