GCF of 4276/130, 7533/130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4276/130, 7533/130 i.e 1/130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4276/130, 7533/130.
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 4276/130,7533/130?
Given fractions are 4276/130,7533/130
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 4276/130,7533/130, numerators are 4276,7533
Denominators are 130,130
The GCF of 4276,7533 is 1 .
LCM of 130,130 is 130.
The greatest common factor of 4276/130,7533/130 = [GCF of 4276,7533]/[LCM of 130,130]= 1/130
Therefore, the GCF of 4276/130,7533/130 is 1/130.
To find the highest common factor of 4276,7533, we have to find the factors of both numbers and list the highest common factor.
The factors of 4276 are 1, 2, 4, 1069, 2138, 4276
The factors of 7533 are 1, 3, 9, 27, 31, 81, 93, 243, 279, 837, 2511, 7533
The HCF of 4276,7533 is 1.
Lets's calculate GCF of 4276,7533
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4276,7533 By Matching Biggest Common Factor Method
Now, list down the factors of 4276
:1,2,4,1069,2138,4276
Now, list down the factors of 7533
:1,3,9,27,31,81,93,243,279,837,2511,7533
Greatest Common Factor
We found the factors 4276,7533 . The biggest common factor number is the GCF number.
So the greatest common factor 4276,7533 is 1.
Lets's calculate LCM of 130,130
| 2 | 130, 130 |
| 5 | 65, 65 |
| 13 | 13, 13 |
| 1, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 1 = 130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130
Therefore, the GCF of Fractions 4276/130,7533/130 is 1/130
Least Common Multiple of 130,130 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 130,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,130) = 130
common factors(in case of two or more numbers have common factors) = 1
GCF(130,130) x common factors =130 x 1 = 130
LCM(130,130) = ( 130 × 130 ) / 130
LCM(130,130) = 16900 / 130
LCM(130,130) = 130
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FAQs on GCF of Fractions of 4276/130, 7533/130
1. What is the HCF of 4276,7533?
The HCF of 4276,7533 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 4276/130, 7533/130?
Answer: GCF of Numerators as per given numbers 4276/130, 7533/130 is
GCF of Numerators i.e. for 4276,7533 is 1
LCM of denominators i.e. for 130,130 is 130.
Thus, GCF of Fractions is 1/130.Finally, GCF of Fractions for 4276/130, 7533/130 is 1/130.