GCF of 5202/192, 5107/8157
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5202/192, 5107/8157 i.e 1/522048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5202/192, 5107/8157.
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 5202/192,5107/8157?
Given fractions are 5202/192,5107/8157
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 5202/192,5107/8157, numerators are 5202,5107
Denominators are 192,8157
The GCF of 5202,5107 is 1 .
LCM of 192,8157 is 522048.
The greatest common factor of 5202/192,5107/8157 = [GCF of 5202,5107]/[LCM of 192,8157]= 1/522048
Therefore, the GCF of 5202/192,5107/8157 is 1/522048.
To find the highest common factor of 5202,5107, we have to find the factors of both numbers and list the highest common factor.
The factors of 5202 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202
The factors of 5107 are 1, 5107
The HCF of 5202,5107 is 1.
Lets's calculate GCF of 5202,5107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5202,5107 By Matching Biggest Common Factor Method
Now, list down the factors of 5202
:1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202
Now, list down the factors of 5107
:1,5107
Greatest Common Factor
We found the factors 5202,5107 . The biggest common factor number is the GCF number.
So the greatest common factor 5202,5107 is 1.
Lets's calculate LCM of 192,8157
| 3 | 192, 8157 |
| 64, 2719 |
∴ So the LCM of the given numbers is 3 x 64 x 2719 = 522048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/522048
Therefore, the GCF of Fractions 5202/192,5107/8157 is 1/522048
Least Common Multiple of 192,8157 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 192,8157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,8157) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(192,8157) x common factors =3 x 1 = 3
LCM(192,8157) = ( 192 × 8157 ) / 3
LCM(192,8157) = 1566144 / 3
LCM(192,8157) = 522048
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FAQs on GCF of Fractions of 5202/192, 5107/8157
1. What is the HCF of 5202,5107?
The HCF of 5202,5107 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 5202/192, 5107/8157?
Answer: GCF of Numerators as per given numbers 5202/192, 5107/8157 is
GCF of Numerators i.e. for 5202,5107 is 1
LCM of denominators i.e. for 192,8157 is 522048.
Thus, GCF of Fractions is 1/522048.Finally, GCF of Fractions for 5202/192, 5107/8157 is 1/522048.