GCF of 3518/180, 5420/2355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3518/180, 5420/2355 i.e 2/28260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3518/180, 5420/2355.
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 3518/180,5420/2355?
Given fractions are 3518/180,5420/2355
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 3518/180,5420/2355, numerators are 3518,5420
Denominators are 180,2355
The GCF of 3518,5420 is 2 .
LCM of 180,2355 is 28260.
The greatest common factor of 3518/180,5420/2355 = [GCF of 3518,5420]/[LCM of 180,2355]= 2/28260
Therefore, the GCF of 3518/180,5420/2355 is 2/28260.
To find the highest common factor of 3518,5420, we have to find the factors of both numbers and list the highest common factor.
The factors of 3518 are 1, 2, 1759, 3518
The factors of 5420 are 1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420
The HCF of 3518,5420 is 2.
Lets's calculate GCF of 3518,5420
| 2 | 3518, 5420 |
| 1759, 2710 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3518,5420 By Matching Biggest Common Factor Method
Now, list down the factors of 3518
:1,2,1759,3518
Now, list down the factors of 5420
:1,2,4,5,10,20,271,542,1084,1355,2710,5420
Greatest Common Factor
We found the factors 3518,5420 . The biggest common factor number is the GCF number.
So the greatest common factor 3518,5420 is 2.
Lets's calculate LCM of 180,2355
| 3 | 180, 2355 |
| 5 | 60, 785 |
| 12, 157 |
∴ So the LCM of the given numbers is 3 x 5 x 12 x 157 = 28260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28260
Therefore, the GCF of Fractions 3518/180,5420/2355 is 2/28260
Least Common Multiple of 180,2355 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 180,2355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,2355) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(180,2355) x common factors =15 x 1 = 15
LCM(180,2355) = ( 180 × 2355 ) / 15
LCM(180,2355) = 423900 / 15
LCM(180,2355) = 28260
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FAQs on GCF of Fractions of 3518/180, 5420/2355
1. What is the HCF of 3518,5420?
The HCF of 3518,5420 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 3518/180, 5420/2355?
Answer: GCF of Numerators as per given numbers 3518/180, 5420/2355 is
GCF of Numerators i.e. for 3518,5420 is 2
LCM of denominators i.e. for 180,2355 is 28260.
Thus, GCF of Fractions is 2/28260.Finally, GCF of Fractions for 3518/180, 5420/2355 is 2/28260.