GCF of 9121/783, 6805/3732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9121/783, 6805/3732 i.e 1/974052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9121/783, 6805/3732.
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 9121/783,6805/3732?
Given fractions are 9121/783,6805/3732
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 9121/783,6805/3732, numerators are 9121,6805
Denominators are 783,3732
The GCF of 9121,6805 is 1 .
LCM of 783,3732 is 974052.
The greatest common factor of 9121/783,6805/3732 = [GCF of 9121,6805]/[LCM of 783,3732]= 1/974052
Therefore, the GCF of 9121/783,6805/3732 is 1/974052.
To find the highest common factor of 9121,6805, we have to find the factors of both numbers and list the highest common factor.
The factors of 9121 are 1, 7, 1303, 9121
The factors of 6805 are 1, 5, 1361, 6805
The HCF of 9121,6805 is 1.
Lets's calculate GCF of 9121,6805
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9121,6805 By Matching Biggest Common Factor Method
Now, list down the factors of 9121
:1,7,1303,9121
Now, list down the factors of 6805
:1,5,1361,6805
Greatest Common Factor
We found the factors 9121,6805 . The biggest common factor number is the GCF number.
So the greatest common factor 9121,6805 is 1.
Lets's calculate LCM of 783,3732
| 3 | 783, 3732 |
| 261, 1244 |
∴ So the LCM of the given numbers is 3 x 261 x 1244 = 974052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/974052
Therefore, the GCF of Fractions 9121/783,6805/3732 is 1/974052
Least Common Multiple of 783,3732 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 783,3732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,3732) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(783,3732) x common factors =3 x 1 = 3
LCM(783,3732) = ( 783 × 3732 ) / 3
LCM(783,3732) = 2922156 / 3
LCM(783,3732) = 974052
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FAQs on GCF of Fractions of 9121/783, 6805/3732
1. What is the HCF of 9121,6805?
The HCF of 9121,6805 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 9121/783, 6805/3732?
Answer: GCF of Numerators as per given numbers 9121/783, 6805/3732 is
GCF of Numerators i.e. for 9121,6805 is 1
LCM of denominators i.e. for 783,3732 is 974052.
Thus, GCF of Fractions is 1/974052.Finally, GCF of Fractions for 9121/783, 6805/3732 is 1/974052.