GCF of 730/164, 5108/8900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 730/164, 5108/8900 i.e 2/364900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 730/164, 5108/8900.
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 730/164,5108/8900?
Given fractions are 730/164,5108/8900
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 730/164,5108/8900, numerators are 730,5108
Denominators are 164,8900
The GCF of 730,5108 is 2 .
LCM of 164,8900 is 364900.
The greatest common factor of 730/164,5108/8900 = [GCF of 730,5108]/[LCM of 164,8900]= 2/364900
Therefore, the GCF of 730/164,5108/8900 is 2/364900.
To find the highest common factor of 730,5108, we have to find the factors of both numbers and list the highest common factor.
The factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730
The factors of 5108 are 1, 2, 4, 1277, 2554, 5108
The HCF of 730,5108 is 2.
Lets's calculate GCF of 730,5108
| 2 | 730, 5108 |
| 365, 2554 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 730,5108 By Matching Biggest Common Factor Method
Now, list down the factors of 730
:1,2,5,10,73,146,365,730
Now, list down the factors of 5108
:1,2,4,1277,2554,5108
Greatest Common Factor
We found the factors 730,5108 . The biggest common factor number is the GCF number.
So the greatest common factor 730,5108 is 2.
Lets's calculate LCM of 164,8900
| 2 | 164, 8900 |
| 2 | 82, 4450 |
| 41, 2225 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 2225 = 364900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/364900
Therefore, the GCF of Fractions 730/164,5108/8900 is 2/364900
Least Common Multiple of 164,8900 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 164,8900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,8900) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(164,8900) x common factors =4 x 1 = 4
LCM(164,8900) = ( 164 × 8900 ) / 4
LCM(164,8900) = 1459600 / 4
LCM(164,8900) = 364900
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FAQs on GCF of Fractions of 730/164, 5108/8900
1. What is the HCF of 730,5108?
The HCF of 730,5108 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 730/164, 5108/8900?
Answer: GCF of Numerators as per given numbers 730/164, 5108/8900 is
GCF of Numerators i.e. for 730,5108 is 2
LCM of denominators i.e. for 164,8900 is 364900.
Thus, GCF of Fractions is 2/364900.Finally, GCF of Fractions for 730/164, 5108/8900 is 2/364900.