GCF of 3155/375, 2120/484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3155/375, 2120/484 i.e 5/181500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3155/375, 2120/484.
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 3155/375,2120/484?
Given fractions are 3155/375,2120/484
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 3155/375,2120/484, numerators are 3155,2120
Denominators are 375,484
The GCF of 3155,2120 is 5 .
LCM of 375,484 is 181500.
The greatest common factor of 3155/375,2120/484 = [GCF of 3155,2120]/[LCM of 375,484]= 5/181500
Therefore, the GCF of 3155/375,2120/484 is 5/181500.
To find the highest common factor of 3155,2120, we have to find the factors of both numbers and list the highest common factor.
The factors of 3155 are 1, 5, 631, 3155
The factors of 2120 are 1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120
The HCF of 3155,2120 is 5.
Lets's calculate GCF of 3155,2120
| 5 | 3155, 2120 |
| 631, 424 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3155,2120 By Matching Biggest Common Factor Method
Now, list down the factors of 3155
:1,5,631,3155
Now, list down the factors of 2120
:1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120
Greatest Common Factor
We found the factors 3155,2120 . The biggest common factor number is the GCF number.
So the greatest common factor 3155,2120 is 5.
Lets's calculate LCM of 375,484
Given numbers has no common factors except 1. So, there LCM is their product i.e 181500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/181500
Therefore, the GCF of Fractions 3155/375,2120/484 is 5/181500
Least Common Multiple of 375,484 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 375,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,484) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(375,484) x common factors =1 x 1 = 1
LCM(375,484) = ( 375 × 484 ) / 1
LCM(375,484) = 181500 / 1
LCM(375,484) = 181500
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FAQs on GCF of Fractions of 3155/375, 2120/484
1. What is the HCF of 3155,2120?
The HCF of 3155,2120 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 3155/375, 2120/484?
Answer: GCF of Numerators as per given numbers 3155/375, 2120/484 is
GCF of Numerators i.e. for 3155,2120 is 5
LCM of denominators i.e. for 375,484 is 181500.
Thus, GCF of Fractions is 5/181500.Finally, GCF of Fractions for 3155/375, 2120/484 is 5/181500.