GCF of 4130/726, 2128/4605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4130/726, 2128/4605 i.e 14/1114410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4130/726, 2128/4605.
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 4130/726,2128/4605?
Given fractions are 4130/726,2128/4605
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 4130/726,2128/4605, numerators are 4130,2128
Denominators are 726,4605
The GCF of 4130,2128 is 14 .
LCM of 726,4605 is 1114410.
The greatest common factor of 4130/726,2128/4605 = [GCF of 4130,2128]/[LCM of 726,4605]= 14/1114410
Therefore, the GCF of 4130/726,2128/4605 is 14/1114410.
To find the highest common factor of 4130,2128, we have to find the factors of both numbers and list the highest common factor.
The factors of 4130 are 1, 2, 5, 7, 10, 14, 35, 59, 70, 118, 295, 413, 590, 826, 2065, 4130
The factors of 2128 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 56, 76, 112, 133, 152, 266, 304, 532, 1064, 2128
The HCF of 4130,2128 is 14.
Lets's calculate GCF of 4130,2128
| 2 | 4130, 2128 |
| 7 | 2065, 1064 |
| 295, 152 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4130,2128 By Matching Biggest Common Factor Method
Now, list down the factors of 4130
:1,2,5,7,10,14,35,59,70,118,295,413,590,826,2065,4130
Now, list down the factors of 2128
:1,2,4,7,8,14,16,19,28,38,56,76,112,133,152,266,304,532,1064,2128
Greatest Common Factor
We found the factors 4130,2128 . The biggest common factor number is the GCF number.
So the greatest common factor 4130,2128 is 14.
Lets's calculate LCM of 726,4605
| 3 | 726, 4605 |
| 242, 1535 |
∴ So the LCM of the given numbers is 3 x 242 x 1535 = 1114410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1114410
Therefore, the GCF of Fractions 4130/726,2128/4605 is 14/1114410
Least Common Multiple of 726,4605 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 726,4605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,4605) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(726,4605) x common factors =3 x 1 = 3
LCM(726,4605) = ( 726 × 4605 ) / 3
LCM(726,4605) = 3343230 / 3
LCM(726,4605) = 1114410
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FAQs on GCF of Fractions of 4130/726, 2128/4605
1. What is the HCF of 4130,2128?
The HCF of 4130,2128 is 14
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 4130/726, 2128/4605?
Answer: GCF of Numerators as per given numbers 4130/726, 2128/4605 is
GCF of Numerators i.e. for 4130,2128 is 14
LCM of denominators i.e. for 726,4605 is 1114410.
Thus, GCF of Fractions is 14/1114410.Finally, GCF of Fractions for 4130/726, 2128/4605 is 14/1114410.