GCF of 7133/880, 6135/6102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7133/880, 6135/6102 i.e 1/2684880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7133/880, 6135/6102.
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 7133/880,6135/6102?
Given fractions are 7133/880,6135/6102
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 7133/880,6135/6102, numerators are 7133,6135
Denominators are 880,6102
The GCF of 7133,6135 is 1 .
LCM of 880,6102 is 2684880.
The greatest common factor of 7133/880,6135/6102 = [GCF of 7133,6135]/[LCM of 880,6102]= 1/2684880
Therefore, the GCF of 7133/880,6135/6102 is 1/2684880.
To find the highest common factor of 7133,6135, we have to find the factors of both numbers and list the highest common factor.
The factors of 7133 are 1, 7, 1019, 7133
The factors of 6135 are 1, 3, 5, 15, 409, 1227, 2045, 6135
The HCF of 7133,6135 is 1.
Lets's calculate GCF of 7133,6135
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7133,6135 By Matching Biggest Common Factor Method
Now, list down the factors of 7133
:1,7,1019,7133
Now, list down the factors of 6135
:1,3,5,15,409,1227,2045,6135
Greatest Common Factor
We found the factors 7133,6135 . The biggest common factor number is the GCF number.
So the greatest common factor 7133,6135 is 1.
Lets's calculate LCM of 880,6102
| 2 | 880, 6102 |
| 440, 3051 |
∴ So the LCM of the given numbers is 2 x 440 x 3051 = 2684880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2684880
Therefore, the GCF of Fractions 7133/880,6135/6102 is 1/2684880
Least Common Multiple of 880,6102 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 880,6102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,6102) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(880,6102) x common factors =2 x 1 = 2
LCM(880,6102) = ( 880 × 6102 ) / 2
LCM(880,6102) = 5369760 / 2
LCM(880,6102) = 2684880
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FAQs on GCF of Fractions of 7133/880, 6135/6102
1. What is the HCF of 7133,6135?
The HCF of 7133,6135 is 1
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 7133/880, 6135/6102?
Answer: GCF of Numerators as per given numbers 7133/880, 6135/6102 is
GCF of Numerators i.e. for 7133,6135 is 1
LCM of denominators i.e. for 880,6102 is 2684880.
Thus, GCF of Fractions is 1/2684880.Finally, GCF of Fractions for 7133/880, 6135/6102 is 1/2684880.