GCF of 4710/68, 8129/587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4710/68, 8129/587 i.e 1/39916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4710/68, 8129/587.
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 4710/68,8129/587?
Given fractions are 4710/68,8129/587
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 4710/68,8129/587, numerators are 4710,8129
Denominators are 68,587
The GCF of 4710,8129 is 1 .
LCM of 68,587 is 39916.
The greatest common factor of 4710/68,8129/587 = [GCF of 4710,8129]/[LCM of 68,587]= 1/39916
Therefore, the GCF of 4710/68,8129/587 is 1/39916.
To find the highest common factor of 4710,8129, 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 8129 are 1, 11, 739, 8129
The HCF of 4710,8129 is 1.
Lets's calculate GCF of 4710,8129
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4710,8129 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 8129
:1,11,739,8129
Greatest Common Factor
We found the factors 4710,8129 . The biggest common factor number is the GCF number.
So the greatest common factor 4710,8129 is 1.
Lets's calculate LCM of 68,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 39916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39916
Therefore, the GCF of Fractions 4710/68,8129/587 is 1/39916
Least Common Multiple of 68,587 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 68,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,587) x common factors =1 x 1 = 1
LCM(68,587) = ( 68 × 587 ) / 1
LCM(68,587) = 39916 / 1
LCM(68,587) = 39916
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FAQs on GCF of Fractions of 4710/68, 8129/587
1. What is the HCF of 4710,8129?
The HCF of 4710,8129 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 4710/68, 8129/587?
Answer: GCF of Numerators as per given numbers 4710/68, 8129/587 is
GCF of Numerators i.e. for 4710,8129 is 1
LCM of denominators i.e. for 68,587 is 39916.
Thus, GCF of Fractions is 1/39916.Finally, GCF of Fractions for 4710/68, 8129/587 is 1/39916.