GCF of 6833/105, 5278/2752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6833/105, 5278/2752 i.e 1/288960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6833/105, 5278/2752.
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 6833/105,5278/2752?
Given fractions are 6833/105,5278/2752
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 6833/105,5278/2752, numerators are 6833,5278
Denominators are 105,2752
The GCF of 6833,5278 is 1 .
LCM of 105,2752 is 288960.
The greatest common factor of 6833/105,5278/2752 = [GCF of 6833,5278]/[LCM of 105,2752]= 1/288960
Therefore, the GCF of 6833/105,5278/2752 is 1/288960.
To find the highest common factor of 6833,5278, we have to find the factors of both numbers and list the highest common factor.
The factors of 6833 are 1, 6833
The factors of 5278 are 1, 2, 7, 13, 14, 26, 29, 58, 91, 182, 203, 377, 406, 754, 2639, 5278
The HCF of 6833,5278 is 1.
Lets's calculate GCF of 6833,5278
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6833,5278 By Matching Biggest Common Factor Method
Now, list down the factors of 6833
:1,6833
Now, list down the factors of 5278
:1,2,7,13,14,26,29,58,91,182,203,377,406,754,2639,5278
Greatest Common Factor
We found the factors 6833,5278 . The biggest common factor number is the GCF number.
So the greatest common factor 6833,5278 is 1.
Lets's calculate LCM of 105,2752
Given numbers has no common factors except 1. So, there LCM is their product i.e 288960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288960
Therefore, the GCF of Fractions 6833/105,5278/2752 is 1/288960
Least Common Multiple of 105,2752 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 105,2752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,2752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(105,2752) x common factors =1 x 1 = 1
LCM(105,2752) = ( 105 × 2752 ) / 1
LCM(105,2752) = 288960 / 1
LCM(105,2752) = 288960
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FAQs on GCF of Fractions of 6833/105, 5278/2752
1. What is the HCF of 6833,5278?
The HCF of 6833,5278 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 6833/105, 5278/2752?
Answer: GCF of Numerators as per given numbers 6833/105, 5278/2752 is
GCF of Numerators i.e. for 6833,5278 is 1
LCM of denominators i.e. for 105,2752 is 288960.
Thus, GCF of Fractions is 1/288960.Finally, GCF of Fractions for 6833/105, 5278/2752 is 1/288960.