GCF of 2728/130, 1534/3079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2728/130, 1534/3079 i.e 2/400270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2728/130, 1534/3079.
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 2728/130,1534/3079?
Given fractions are 2728/130,1534/3079
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 2728/130,1534/3079, numerators are 2728,1534
Denominators are 130,3079
The GCF of 2728,1534 is 2 .
LCM of 130,3079 is 400270.
The greatest common factor of 2728/130,1534/3079 = [GCF of 2728,1534]/[LCM of 130,3079]= 2/400270
Therefore, the GCF of 2728/130,1534/3079 is 2/400270.
To find the highest common factor of 2728,1534, we have to find the factors of both numbers and list the highest common factor.
The factors of 2728 are 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364, 2728
The factors of 1534 are 1, 2, 13, 26, 59, 118, 767, 1534
The HCF of 2728,1534 is 2.
Lets's calculate GCF of 2728,1534
| 2 | 2728, 1534 |
| 1364, 767 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2728,1534 By Matching Biggest Common Factor Method
Now, list down the factors of 2728
:1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728
Now, list down the factors of 1534
:1,2,13,26,59,118,767,1534
Greatest Common Factor
We found the factors 2728,1534 . The biggest common factor number is the GCF number.
So the greatest common factor 2728,1534 is 2.
Lets's calculate LCM of 130,3079
Given numbers has no common factors except 1. So, there LCM is their product i.e 400270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/400270
Therefore, the GCF of Fractions 2728/130,1534/3079 is 2/400270
Least Common Multiple of 130,3079 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 130,3079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,3079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,3079) x common factors =1 x 1 = 1
LCM(130,3079) = ( 130 × 3079 ) / 1
LCM(130,3079) = 400270 / 1
LCM(130,3079) = 400270
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FAQs on GCF of Fractions of 2728/130, 1534/3079
1. What is the HCF of 2728,1534?
The HCF of 2728,1534 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 2728/130, 1534/3079?
Answer: GCF of Numerators as per given numbers 2728/130, 1534/3079 is
GCF of Numerators i.e. for 2728,1534 is 2
LCM of denominators i.e. for 130,3079 is 400270.
Thus, GCF of Fractions is 2/400270.Finally, GCF of Fractions for 2728/130, 1534/3079 is 2/400270.