GCF of 4278/706, 4961/9893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4278/706, 4961/9893 i.e 1/6984458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4278/706, 4961/9893.
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 4278/706,4961/9893?
Given fractions are 4278/706,4961/9893
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 4278/706,4961/9893, numerators are 4278,4961
Denominators are 706,9893
The GCF of 4278,4961 is 1 .
LCM of 706,9893 is 6984458.
The greatest common factor of 4278/706,4961/9893 = [GCF of 4278,4961]/[LCM of 706,9893]= 1/6984458
Therefore, the GCF of 4278/706,4961/9893 is 1/6984458.
To find the highest common factor of 4278,4961, we have to find the factors of both numbers and list the highest common factor.
The factors of 4278 are 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139, 4278
The factors of 4961 are 1, 11, 41, 121, 451, 4961
The HCF of 4278,4961 is 1.
Lets's calculate GCF of 4278,4961
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4278,4961 By Matching Biggest Common Factor Method
Now, list down the factors of 4278
:1,2,3,6,23,31,46,62,69,93,138,186,713,1426,2139,4278
Now, list down the factors of 4961
:1,11,41,121,451,4961
Greatest Common Factor
We found the factors 4278,4961 . The biggest common factor number is the GCF number.
So the greatest common factor 4278,4961 is 1.
Lets's calculate LCM of 706,9893
Given numbers has no common factors except 1. So, there LCM is their product i.e 6984458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6984458
Therefore, the GCF of Fractions 4278/706,4961/9893 is 1/6984458
Least Common Multiple of 706,9893 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 706,9893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,9893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(706,9893) x common factors =1 x 1 = 1
LCM(706,9893) = ( 706 × 9893 ) / 1
LCM(706,9893) = 6984458 / 1
LCM(706,9893) = 6984458
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FAQs on GCF of Fractions of 4278/706, 4961/9893
1. What is the HCF of 4278,4961?
The HCF of 4278,4961 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 4278/706, 4961/9893?
Answer: GCF of Numerators as per given numbers 4278/706, 4961/9893 is
GCF of Numerators i.e. for 4278,4961 is 1
LCM of denominators i.e. for 706,9893 is 6984458.
Thus, GCF of Fractions is 1/6984458.Finally, GCF of Fractions for 4278/706, 4961/9893 is 1/6984458.