GCF of 2809/349, 6796/5092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2809/349, 6796/5092 i.e 1/1777108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2809/349, 6796/5092.
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 2809/349,6796/5092?
Given fractions are 2809/349,6796/5092
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 2809/349,6796/5092, numerators are 2809,6796
Denominators are 349,5092
The GCF of 2809,6796 is 1 .
LCM of 349,5092 is 1777108.
The greatest common factor of 2809/349,6796/5092 = [GCF of 2809,6796]/[LCM of 349,5092]= 1/1777108
Therefore, the GCF of 2809/349,6796/5092 is 1/1777108.
To find the highest common factor of 2809,6796, we have to find the factors of both numbers and list the highest common factor.
The factors of 2809 are 1, 53, 2809
The factors of 6796 are 1, 2, 4, 1699, 3398, 6796
The HCF of 2809,6796 is 1.
Lets's calculate GCF of 2809,6796
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2809,6796 By Matching Biggest Common Factor Method
Now, list down the factors of 2809
:1,53,2809
Now, list down the factors of 6796
:1,2,4,1699,3398,6796
Greatest Common Factor
We found the factors 2809,6796 . The biggest common factor number is the GCF number.
So the greatest common factor 2809,6796 is 1.
Lets's calculate LCM of 349,5092
Given numbers has no common factors except 1. So, there LCM is their product i.e 1777108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1777108
Therefore, the GCF of Fractions 2809/349,6796/5092 is 1/1777108
Least Common Multiple of 349,5092 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 349,5092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,5092) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,5092) x common factors =1 x 1 = 1
LCM(349,5092) = ( 349 × 5092 ) / 1
LCM(349,5092) = 1777108 / 1
LCM(349,5092) = 1777108
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FAQs on GCF of Fractions of 2809/349, 6796/5092
1. What is the HCF of 2809,6796?
The HCF of 2809,6796 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 2809/349, 6796/5092?
Answer: GCF of Numerators as per given numbers 2809/349, 6796/5092 is
GCF of Numerators i.e. for 2809,6796 is 1
LCM of denominators i.e. for 349,5092 is 1777108.
Thus, GCF of Fractions is 1/1777108.Finally, GCF of Fractions for 2809/349, 6796/5092 is 1/1777108.