GCF of 2298/138, 5300/452
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2298/138, 5300/452 i.e 2/31188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2298/138, 5300/452.
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 2298/138,5300/452?
Given fractions are 2298/138,5300/452
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 2298/138,5300/452, numerators are 2298,5300
Denominators are 138,452
The GCF of 2298,5300 is 2 .
LCM of 138,452 is 31188.
The greatest common factor of 2298/138,5300/452 = [GCF of 2298,5300]/[LCM of 138,452]= 2/31188
Therefore, the GCF of 2298/138,5300/452 is 2/31188.
To find the highest common factor of 2298,5300, we have to find the factors of both numbers and list the highest common factor.
The factors of 2298 are 1, 2, 3, 6, 383, 766, 1149, 2298
The factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300
The HCF of 2298,5300 is 2.
Lets's calculate GCF of 2298,5300
| 2 | 2298, 5300 |
| 1149, 2650 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2298,5300 By Matching Biggest Common Factor Method
Now, list down the factors of 2298
:1,2,3,6,383,766,1149,2298
Now, list down the factors of 5300
:1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300
Greatest Common Factor
We found the factors 2298,5300 . The biggest common factor number is the GCF number.
So the greatest common factor 2298,5300 is 2.
Lets's calculate LCM of 138,452
| 2 | 138, 452 |
| 69, 226 |
∴ So the LCM of the given numbers is 2 x 69 x 226 = 31188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31188
Therefore, the GCF of Fractions 2298/138,5300/452 is 2/31188
Least Common Multiple of 138,452 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 138,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,452) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,452) x common factors =2 x 1 = 2
LCM(138,452) = ( 138 × 452 ) / 2
LCM(138,452) = 62376 / 2
LCM(138,452) = 31188
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FAQs on GCF of Fractions of 2298/138, 5300/452
1. What is the HCF of 2298,5300?
The HCF of 2298,5300 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 2298/138, 5300/452?
Answer: GCF of Numerators as per given numbers 2298/138, 5300/452 is
GCF of Numerators i.e. for 2298,5300 is 2
LCM of denominators i.e. for 138,452 is 31188.
Thus, GCF of Fractions is 2/31188.Finally, GCF of Fractions for 2298/138, 5300/452 is 2/31188.