GCF of 5380/100, 9926/179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5380/100, 9926/179 i.e 2/17900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5380/100, 9926/179.
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 5380/100,9926/179?
Given fractions are 5380/100,9926/179
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 5380/100,9926/179, numerators are 5380,9926
Denominators are 100,179
The GCF of 5380,9926 is 2 .
LCM of 100,179 is 17900.
The greatest common factor of 5380/100,9926/179 = [GCF of 5380,9926]/[LCM of 100,179]= 2/17900
Therefore, the GCF of 5380/100,9926/179 is 2/17900.
To find the highest common factor of 5380,9926, we have to find the factors of both numbers and list the highest common factor.
The factors of 5380 are 1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345, 2690, 5380
The factors of 9926 are 1, 2, 7, 14, 709, 1418, 4963, 9926
The HCF of 5380,9926 is 2.
Lets's calculate GCF of 5380,9926
| 2 | 5380, 9926 |
| 2690, 4963 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5380,9926 By Matching Biggest Common Factor Method
Now, list down the factors of 5380
:1,2,4,5,10,20,269,538,1076,1345,2690,5380
Now, list down the factors of 9926
:1,2,7,14,709,1418,4963,9926
Greatest Common Factor
We found the factors 5380,9926 . The biggest common factor number is the GCF number.
So the greatest common factor 5380,9926 is 2.
Lets's calculate LCM of 100,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 17900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17900
Therefore, the GCF of Fractions 5380/100,9926/179 is 2/17900
Least Common Multiple of 100,179 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 100,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(100,179) x common factors =1 x 1 = 1
LCM(100,179) = ( 100 × 179 ) / 1
LCM(100,179) = 17900 / 1
LCM(100,179) = 17900
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FAQs on GCF of Fractions of 5380/100, 9926/179
1. What is the HCF of 5380,9926?
The HCF of 5380,9926 is 2
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 5380/100, 9926/179?
Answer: GCF of Numerators as per given numbers 5380/100, 9926/179 is
GCF of Numerators i.e. for 5380,9926 is 2
LCM of denominators i.e. for 100,179 is 17900.
Thus, GCF of Fractions is 2/17900.Finally, GCF of Fractions for 5380/100, 9926/179 is 2/17900.