GCF of 6028/101, 3136/4979
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6028/101, 3136/4979 i.e 4/502879 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6028/101, 3136/4979.
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 6028/101,3136/4979?
Given fractions are 6028/101,3136/4979
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 6028/101,3136/4979, numerators are 6028,3136
Denominators are 101,4979
The GCF of 6028,3136 is 4 .
LCM of 101,4979 is 502879.
The greatest common factor of 6028/101,3136/4979 = [GCF of 6028,3136]/[LCM of 101,4979]= 4/502879
Therefore, the GCF of 6028/101,3136/4979 is 4/502879.
To find the highest common factor of 6028,3136, we have to find the factors of both numbers and list the highest common factor.
The factors of 6028 are 1, 2, 4, 11, 22, 44, 137, 274, 548, 1507, 3014, 6028
The factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136
The HCF of 6028,3136 is 4.
Lets's calculate GCF of 6028,3136
| 2 | 6028, 3136 |
| 2 | 3014, 1568 |
| 1507, 784 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6028,3136 By Matching Biggest Common Factor Method
Now, list down the factors of 6028
:1,2,4,11,22,44,137,274,548,1507,3014,6028
Now, list down the factors of 3136
:1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136
Greatest Common Factor
We found the factors 6028,3136 . The biggest common factor number is the GCF number.
So the greatest common factor 6028,3136 is 4.
Lets's calculate LCM of 101,4979
Given numbers has no common factors except 1. So, there LCM is their product i.e 502879
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/502879
Therefore, the GCF of Fractions 6028/101,3136/4979 is 4/502879
Least Common Multiple of 101,4979 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 101,4979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,4979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,4979) x common factors =1 x 1 = 1
LCM(101,4979) = ( 101 × 4979 ) / 1
LCM(101,4979) = 502879 / 1
LCM(101,4979) = 502879
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FAQs on GCF of Fractions of 6028/101, 3136/4979
1. What is the HCF of 6028,3136?
The HCF of 6028,3136 is 4
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 6028/101, 3136/4979?
Answer: GCF of Numerators as per given numbers 6028/101, 3136/4979 is
GCF of Numerators i.e. for 6028,3136 is 4
LCM of denominators i.e. for 101,4979 is 502879.
Thus, GCF of Fractions is 4/502879.Finally, GCF of Fractions for 6028/101, 3136/4979 is 4/502879.