GCF of 2120/149, 1045/542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2120/149, 1045/542 i.e 5/80758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2120/149, 1045/542.
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 2120/149,1045/542?
Given fractions are 2120/149,1045/542
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 2120/149,1045/542, numerators are 2120,1045
Denominators are 149,542
The GCF of 2120,1045 is 5 .
LCM of 149,542 is 80758.
The greatest common factor of 2120/149,1045/542 = [GCF of 2120,1045]/[LCM of 149,542]= 5/80758
Therefore, the GCF of 2120/149,1045/542 is 5/80758.
To find the highest common factor of 2120,1045, we have to find the factors of both numbers and list the highest common factor.
The factors of 2120 are 1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120
The factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045
The HCF of 2120,1045 is 5.
Lets's calculate GCF of 2120,1045
| 5 | 2120, 1045 |
| 424, 209 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2120,1045 By Matching Biggest Common Factor Method
Now, list down the factors of 2120
:1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120
Now, list down the factors of 1045
:1,5,11,19,55,95,209,1045
Greatest Common Factor
We found the factors 2120,1045 . The biggest common factor number is the GCF number.
So the greatest common factor 2120,1045 is 5.
Lets's calculate LCM of 149,542
Given numbers has no common factors except 1. So, there LCM is their product i.e 80758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/80758
Therefore, the GCF of Fractions 2120/149,1045/542 is 5/80758
Least Common Multiple of 149,542 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 149,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,542) x common factors =1 x 1 = 1
LCM(149,542) = ( 149 × 542 ) / 1
LCM(149,542) = 80758 / 1
LCM(149,542) = 80758
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FAQs on GCF of Fractions of 2120/149, 1045/542
1. What is the HCF of 2120,1045?
The HCF of 2120,1045 is 5
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 2120/149, 1045/542?
Answer: GCF of Numerators as per given numbers 2120/149, 1045/542 is
GCF of Numerators i.e. for 2120,1045 is 5
LCM of denominators i.e. for 149,542 is 80758.
Thus, GCF of Fractions is 5/80758.Finally, GCF of Fractions for 2120/149, 1045/542 is 5/80758.