GCF of 7846/418, 9783/2657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7846/418, 9783/2657 i.e 1/1110626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7846/418, 9783/2657.
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 7846/418,9783/2657?
Given fractions are 7846/418,9783/2657
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 7846/418,9783/2657, numerators are 7846,9783
Denominators are 418,2657
The GCF of 7846,9783 is 1 .
LCM of 418,2657 is 1110626.
The greatest common factor of 7846/418,9783/2657 = [GCF of 7846,9783]/[LCM of 418,2657]= 1/1110626
Therefore, the GCF of 7846/418,9783/2657 is 1/1110626.
To find the highest common factor of 7846,9783, we have to find the factors of both numbers and list the highest common factor.
The factors of 7846 are 1, 2, 3923, 7846
The factors of 9783 are 1, 3, 9, 1087, 3261, 9783
The HCF of 7846,9783 is 1.
Lets's calculate GCF of 7846,9783
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7846,9783 By Matching Biggest Common Factor Method
Now, list down the factors of 7846
:1,2,3923,7846
Now, list down the factors of 9783
:1,3,9,1087,3261,9783
Greatest Common Factor
We found the factors 7846,9783 . The biggest common factor number is the GCF number.
So the greatest common factor 7846,9783 is 1.
Lets's calculate LCM of 418,2657
Given numbers has no common factors except 1. So, there LCM is their product i.e 1110626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1110626
Therefore, the GCF of Fractions 7846/418,9783/2657 is 1/1110626
Least Common Multiple of 418,2657 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 418,2657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,2657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(418,2657) x common factors =1 x 1 = 1
LCM(418,2657) = ( 418 × 2657 ) / 1
LCM(418,2657) = 1110626 / 1
LCM(418,2657) = 1110626
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FAQs on GCF of Fractions of 7846/418, 9783/2657
1. What is the HCF of 7846,9783?
The HCF of 7846,9783 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 7846/418, 9783/2657?
Answer: GCF of Numerators as per given numbers 7846/418, 9783/2657 is
GCF of Numerators i.e. for 7846,9783 is 1
LCM of denominators i.e. for 418,2657 is 1110626.
Thus, GCF of Fractions is 1/1110626.Finally, GCF of Fractions for 7846/418, 9783/2657 is 1/1110626.