GCF of 4710/556, 4506/8039
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4710/556, 4506/8039 i.e 6/4469684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4710/556, 4506/8039.
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 4710/556,4506/8039?
Given fractions are 4710/556,4506/8039
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 4710/556,4506/8039, numerators are 4710,4506
Denominators are 556,8039
The GCF of 4710,4506 is 6 .
LCM of 556,8039 is 4469684.
The greatest common factor of 4710/556,4506/8039 = [GCF of 4710,4506]/[LCM of 556,8039]= 6/4469684
Therefore, the GCF of 4710/556,4506/8039 is 6/4469684.
To find the highest common factor of 4710,4506, we have to find the factors of both numbers and list the highest common factor.
The factors of 4710 are 1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710
The factors of 4506 are 1, 2, 3, 6, 751, 1502, 2253, 4506
The HCF of 4710,4506 is 6.
Lets's calculate GCF of 4710,4506
| 2 | 4710, 4506 |
| 3 | 2355, 2253 |
| 785, 751 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4710,4506 By Matching Biggest Common Factor Method
Now, list down the factors of 4710
:1,2,3,5,6,10,15,30,157,314,471,785,942,1570,2355,4710
Now, list down the factors of 4506
:1,2,3,6,751,1502,2253,4506
Greatest Common Factor
We found the factors 4710,4506 . The biggest common factor number is the GCF number.
So the greatest common factor 4710,4506 is 6.
Lets's calculate LCM of 556,8039
Given numbers has no common factors except 1. So, there LCM is their product i.e 4469684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4469684
Therefore, the GCF of Fractions 4710/556,4506/8039 is 6/4469684
Least Common Multiple of 556,8039 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 556,8039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,8039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(556,8039) x common factors =1 x 1 = 1
LCM(556,8039) = ( 556 × 8039 ) / 1
LCM(556,8039) = 4469684 / 1
LCM(556,8039) = 4469684
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FAQs on GCF of Fractions of 4710/556, 4506/8039
1. What is the HCF of 4710,4506?
The HCF of 4710,4506 is 6
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 4710/556, 4506/8039?
Answer: GCF of Numerators as per given numbers 4710/556, 4506/8039 is
GCF of Numerators i.e. for 4710,4506 is 6
LCM of denominators i.e. for 556,8039 is 4469684.
Thus, GCF of Fractions is 6/4469684.Finally, GCF of Fractions for 4710/556, 4506/8039 is 6/4469684.