GCF of 6893/930, 5710/106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6893/930, 5710/106 i.e 1/49290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6893/930, 5710/106.
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 6893/930,5710/106?
Given fractions are 6893/930,5710/106
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 6893/930,5710/106, numerators are 6893,5710
Denominators are 930,106
The GCF of 6893,5710 is 1 .
LCM of 930,106 is 49290.
The greatest common factor of 6893/930,5710/106 = [GCF of 6893,5710]/[LCM of 930,106]= 1/49290
Therefore, the GCF of 6893/930,5710/106 is 1/49290.
To find the highest common factor of 6893,5710, we have to find the factors of both numbers and list the highest common factor.
The factors of 6893 are 1, 61, 113, 6893
The factors of 5710 are 1, 2, 5, 10, 571, 1142, 2855, 5710
The HCF of 6893,5710 is 1.
Lets's calculate GCF of 6893,5710
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6893,5710 By Matching Biggest Common Factor Method
Now, list down the factors of 6893
:1,61,113,6893
Now, list down the factors of 5710
:1,2,5,10,571,1142,2855,5710
Greatest Common Factor
We found the factors 6893,5710 . The biggest common factor number is the GCF number.
So the greatest common factor 6893,5710 is 1.
Lets's calculate LCM of 930,106
| 2 | 930, 106 |
| 465, 53 |
∴ So the LCM of the given numbers is 2 x 465 x 53 = 49290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49290
Therefore, the GCF of Fractions 6893/930,5710/106 is 1/49290
Least Common Multiple of 930,106 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 930,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(930,106) x common factors =2 x 1 = 2
LCM(930,106) = ( 930 × 106 ) / 2
LCM(930,106) = 98580 / 2
LCM(930,106) = 49290
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FAQs on GCF of Fractions of 6893/930, 5710/106
1. What is the HCF of 6893,5710?
The HCF of 6893,5710 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 6893/930, 5710/106?
Answer: GCF of Numerators as per given numbers 6893/930, 5710/106 is
GCF of Numerators i.e. for 6893,5710 is 1
LCM of denominators i.e. for 930,106 is 49290.
Thus, GCF of Fractions is 1/49290.Finally, GCF of Fractions for 6893/930, 5710/106 is 1/49290.