GCF of 1942/841, 9353/4278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1942/841, 9353/4278 i.e 1/3597798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1942/841, 9353/4278.
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 1942/841,9353/4278?
Given fractions are 1942/841,9353/4278
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 1942/841,9353/4278, numerators are 1942,9353
Denominators are 841,4278
The GCF of 1942,9353 is 1 .
LCM of 841,4278 is 3597798.
The greatest common factor of 1942/841,9353/4278 = [GCF of 1942,9353]/[LCM of 841,4278]= 1/3597798
Therefore, the GCF of 1942/841,9353/4278 is 1/3597798.
To find the highest common factor of 1942,9353, we have to find the factors of both numbers and list the highest common factor.
The factors of 1942 are 1, 2, 971, 1942
The factors of 9353 are 1, 47, 199, 9353
The HCF of 1942,9353 is 1.
Lets's calculate GCF of 1942,9353
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1942,9353 By Matching Biggest Common Factor Method
Now, list down the factors of 1942
:1,2,971,1942
Now, list down the factors of 9353
:1,47,199,9353
Greatest Common Factor
We found the factors 1942,9353 . The biggest common factor number is the GCF number.
So the greatest common factor 1942,9353 is 1.
Lets's calculate LCM of 841,4278
Given numbers has no common factors except 1. So, there LCM is their product i.e 3597798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3597798
Therefore, the GCF of Fractions 1942/841,9353/4278 is 1/3597798
Least Common Multiple of 841,4278 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 841,4278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,4278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,4278) x common factors =1 x 1 = 1
LCM(841,4278) = ( 841 × 4278 ) / 1
LCM(841,4278) = 3597798 / 1
LCM(841,4278) = 3597798
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1942/841, 9353/4278
1. What is the HCF of 1942,9353?
The HCF of 1942,9353 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 1942/841, 9353/4278?
Answer: GCF of Numerators as per given numbers 1942/841, 9353/4278 is
GCF of Numerators i.e. for 1942,9353 is 1
LCM of denominators i.e. for 841,4278 is 3597798.
Thus, GCF of Fractions is 1/3597798.Finally, GCF of Fractions for 1942/841, 9353/4278 is 1/3597798.