GCF of 4803/656, 3508/6051
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4803/656, 3508/6051 i.e 1/3969456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4803/656, 3508/6051.
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 4803/656,3508/6051?
Given fractions are 4803/656,3508/6051
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 4803/656,3508/6051, numerators are 4803,3508
Denominators are 656,6051
The GCF of 4803,3508 is 1 .
LCM of 656,6051 is 3969456.
The greatest common factor of 4803/656,3508/6051 = [GCF of 4803,3508]/[LCM of 656,6051]= 1/3969456
Therefore, the GCF of 4803/656,3508/6051 is 1/3969456.
To find the highest common factor of 4803,3508, we have to find the factors of both numbers and list the highest common factor.
The factors of 4803 are 1, 3, 1601, 4803
The factors of 3508 are 1, 2, 4, 877, 1754, 3508
The HCF of 4803,3508 is 1.
Lets's calculate GCF of 4803,3508
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4803,3508 By Matching Biggest Common Factor Method
Now, list down the factors of 4803
:1,3,1601,4803
Now, list down the factors of 3508
:1,2,4,877,1754,3508
Greatest Common Factor
We found the factors 4803,3508 . The biggest common factor number is the GCF number.
So the greatest common factor 4803,3508 is 1.
Lets's calculate LCM of 656,6051
Given numbers has no common factors except 1. So, there LCM is their product i.e 3969456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3969456
Therefore, the GCF of Fractions 4803/656,3508/6051 is 1/3969456
Least Common Multiple of 656,6051 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 656,6051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,6051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,6051) x common factors =1 x 1 = 1
LCM(656,6051) = ( 656 × 6051 ) / 1
LCM(656,6051) = 3969456 / 1
LCM(656,6051) = 3969456
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FAQs on GCF of Fractions of 4803/656, 3508/6051
1. What is the HCF of 4803,3508?
The HCF of 4803,3508 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 4803/656, 3508/6051?
Answer: GCF of Numerators as per given numbers 4803/656, 3508/6051 is
GCF of Numerators i.e. for 4803,3508 is 1
LCM of denominators i.e. for 656,6051 is 3969456.
Thus, GCF of Fractions is 1/3969456.Finally, GCF of Fractions for 4803/656, 3508/6051 is 1/3969456.