GCF of 6929/654, 6393/284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6929/654, 6393/284 i.e 1/92868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6929/654, 6393/284.
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 6929/654,6393/284?
Given fractions are 6929/654,6393/284
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 6929/654,6393/284, numerators are 6929,6393
Denominators are 654,284
The GCF of 6929,6393 is 1 .
LCM of 654,284 is 92868.
The greatest common factor of 6929/654,6393/284 = [GCF of 6929,6393]/[LCM of 654,284]= 1/92868
Therefore, the GCF of 6929/654,6393/284 is 1/92868.
To find the highest common factor of 6929,6393, we have to find the factors of both numbers and list the highest common factor.
The factors of 6929 are 1, 13, 41, 169, 533, 6929
The factors of 6393 are 1, 3, 2131, 6393
The HCF of 6929,6393 is 1.
Lets's calculate GCF of 6929,6393
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6929,6393 By Matching Biggest Common Factor Method
Now, list down the factors of 6929
:1,13,41,169,533,6929
Now, list down the factors of 6393
:1,3,2131,6393
Greatest Common Factor
We found the factors 6929,6393 . The biggest common factor number is the GCF number.
So the greatest common factor 6929,6393 is 1.
Lets's calculate LCM of 654,284
| 2 | 654, 284 |
| 327, 142 |
∴ So the LCM of the given numbers is 2 x 327 x 142 = 92868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92868
Therefore, the GCF of Fractions 6929/654,6393/284 is 1/92868
Least Common Multiple of 654,284 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 654,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,284) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,284) x common factors =2 x 1 = 2
LCM(654,284) = ( 654 × 284 ) / 2
LCM(654,284) = 185736 / 2
LCM(654,284) = 92868
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FAQs on GCF of Fractions of 6929/654, 6393/284
1. What is the HCF of 6929,6393?
The HCF of 6929,6393 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 6929/654, 6393/284?
Answer: GCF of Numerators as per given numbers 6929/654, 6393/284 is
GCF of Numerators i.e. for 6929,6393 is 1
LCM of denominators i.e. for 654,284 is 92868.
Thus, GCF of Fractions is 1/92868.Finally, GCF of Fractions for 6929/654, 6393/284 is 1/92868.