GCF of 5276/300, 6774/100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5276/300, 6774/100 i.e 2/300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5276/300, 6774/100.
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 5276/300,6774/100?
Given fractions are 5276/300,6774/100
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 5276/300,6774/100, numerators are 5276,6774
Denominators are 300,100
The GCF of 5276,6774 is 2 .
LCM of 300,100 is 300.
The greatest common factor of 5276/300,6774/100 = [GCF of 5276,6774]/[LCM of 300,100]= 2/300
Therefore, the GCF of 5276/300,6774/100 is 2/300.
To find the highest common factor of 5276,6774, we have to find the factors of both numbers and list the highest common factor.
The factors of 5276 are 1, 2, 4, 1319, 2638, 5276
The factors of 6774 are 1, 2, 3, 6, 1129, 2258, 3387, 6774
The HCF of 5276,6774 is 2.
Lets's calculate GCF of 5276,6774
| 2 | 5276, 6774 |
| 2638, 3387 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5276,6774 By Matching Biggest Common Factor Method
Now, list down the factors of 5276
:1,2,4,1319,2638,5276
Now, list down the factors of 6774
:1,2,3,6,1129,2258,3387,6774
Greatest Common Factor
We found the factors 5276,6774 . The biggest common factor number is the GCF number.
So the greatest common factor 5276,6774 is 2.
Lets's calculate LCM of 300,100
| 2 | 300, 100 |
| 2 | 150, 50 |
| 5 | 75, 25 |
| 5 | 15, 5 |
| 3, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 3 x 1 = 300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/300
Therefore, the GCF of Fractions 5276/300,6774/100 is 2/300
Least Common Multiple of 300,100 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 300,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,100) = 100
common factors(in case of two or more numbers have common factors) = 1
GCF(300,100) x common factors =100 x 1 = 100
LCM(300,100) = ( 300 × 100 ) / 100
LCM(300,100) = 30000 / 100
LCM(300,100) = 300
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FAQs on GCF of Fractions of 5276/300, 6774/100
1. What is the HCF of 5276,6774?
The HCF of 5276,6774 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 5276/300, 6774/100?
Answer: GCF of Numerators as per given numbers 5276/300, 6774/100 is
GCF of Numerators i.e. for 5276,6774 is 2
LCM of denominators i.e. for 300,100 is 300.
Thus, GCF of Fractions is 2/300.Finally, GCF of Fractions for 5276/300, 6774/100 is 2/300.