GCF of 7030/273, 6869/108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7030/273, 6869/108 i.e 1/9828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7030/273, 6869/108.
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 7030/273,6869/108?
Given fractions are 7030/273,6869/108
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 7030/273,6869/108, numerators are 7030,6869
Denominators are 273,108
The GCF of 7030,6869 is 1 .
LCM of 273,108 is 9828.
The greatest common factor of 7030/273,6869/108 = [GCF of 7030,6869]/[LCM of 273,108]= 1/9828
Therefore, the GCF of 7030/273,6869/108 is 1/9828.
To find the highest common factor of 7030,6869, we have to find the factors of both numbers and list the highest common factor.
The factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030
The factors of 6869 are 1, 6869
The HCF of 7030,6869 is 1.
Lets's calculate GCF of 7030,6869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7030,6869 By Matching Biggest Common Factor Method
Now, list down the factors of 7030
:1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030
Now, list down the factors of 6869
:1,6869
Greatest Common Factor
We found the factors 7030,6869 . The biggest common factor number is the GCF number.
So the greatest common factor 7030,6869 is 1.
Lets's calculate LCM of 273,108
| 3 | 273, 108 |
| 91, 36 |
∴ So the LCM of the given numbers is 3 x 91 x 36 = 9828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9828
Therefore, the GCF of Fractions 7030/273,6869/108 is 1/9828
Least Common Multiple of 273,108 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 273,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,108) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(273,108) x common factors =3 x 1 = 3
LCM(273,108) = ( 273 × 108 ) / 3
LCM(273,108) = 29484 / 3
LCM(273,108) = 9828
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FAQs on GCF of Fractions of 7030/273, 6869/108
1. What is the HCF of 7030,6869?
The HCF of 7030,6869 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 7030/273, 6869/108?
Answer: GCF of Numerators as per given numbers 7030/273, 6869/108 is
GCF of Numerators i.e. for 7030,6869 is 1
LCM of denominators i.e. for 273,108 is 9828.
Thus, GCF of Fractions is 1/9828.Finally, GCF of Fractions for 7030/273, 6869/108 is 1/9828.