GCF of 5159/450, 9880/1394
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5159/450, 9880/1394 i.e 1/313650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5159/450, 9880/1394.
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 5159/450,9880/1394?
Given fractions are 5159/450,9880/1394
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 5159/450,9880/1394, numerators are 5159,9880
Denominators are 450,1394
The GCF of 5159,9880 is 1 .
LCM of 450,1394 is 313650.
The greatest common factor of 5159/450,9880/1394 = [GCF of 5159,9880]/[LCM of 450,1394]= 1/313650
Therefore, the GCF of 5159/450,9880/1394 is 1/313650.
To find the highest common factor of 5159,9880, we have to find the factors of both numbers and list the highest common factor.
The factors of 5159 are 1, 7, 11, 67, 77, 469, 737, 5159
The factors of 9880 are 1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880
The HCF of 5159,9880 is 1.
Lets's calculate GCF of 5159,9880
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5159,9880 By Matching Biggest Common Factor Method
Now, list down the factors of 5159
:1,7,11,67,77,469,737,5159
Now, list down the factors of 9880
:1,2,4,5,8,10,13,19,20,26,38,40,52,65,76,95,104,130,152,190,247,260,380,494,520,760,988,1235,1976,2470,4940,9880
Greatest Common Factor
We found the factors 5159,9880 . The biggest common factor number is the GCF number.
So the greatest common factor 5159,9880 is 1.
Lets's calculate LCM of 450,1394
| 2 | 450, 1394 |
| 225, 697 |
∴ So the LCM of the given numbers is 2 x 225 x 697 = 313650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313650
Therefore, the GCF of Fractions 5159/450,9880/1394 is 1/313650
Least Common Multiple of 450,1394 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 450,1394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,1394) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(450,1394) x common factors =2 x 1 = 2
LCM(450,1394) = ( 450 × 1394 ) / 2
LCM(450,1394) = 627300 / 2
LCM(450,1394) = 313650
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FAQs on GCF of Fractions of 5159/450, 9880/1394
1. What is the HCF of 5159,9880?
The HCF of 5159,9880 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 5159/450, 9880/1394?
Answer: GCF of Numerators as per given numbers 5159/450, 9880/1394 is
GCF of Numerators i.e. for 5159,9880 is 1
LCM of denominators i.e. for 450,1394 is 313650.
Thus, GCF of Fractions is 1/313650.Finally, GCF of Fractions for 5159/450, 9880/1394 is 1/313650.