GCF of 7878/559, 2269/6993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7878/559, 2269/6993 i.e 1/3909087 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7878/559, 2269/6993.
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 7878/559,2269/6993?
Given fractions are 7878/559,2269/6993
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 7878/559,2269/6993, numerators are 7878,2269
Denominators are 559,6993
The GCF of 7878,2269 is 1 .
LCM of 559,6993 is 3909087.
The greatest common factor of 7878/559,2269/6993 = [GCF of 7878,2269]/[LCM of 559,6993]= 1/3909087
Therefore, the GCF of 7878/559,2269/6993 is 1/3909087.
To find the highest common factor of 7878,2269, we have to find the factors of both numbers and list the highest common factor.
The factors of 7878 are 1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878
The factors of 2269 are 1, 2269
The HCF of 7878,2269 is 1.
Lets's calculate GCF of 7878,2269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7878,2269 By Matching Biggest Common Factor Method
Now, list down the factors of 7878
:1,2,3,6,13,26,39,78,101,202,303,606,1313,2626,3939,7878
Now, list down the factors of 2269
:1,2269
Greatest Common Factor
We found the factors 7878,2269 . The biggest common factor number is the GCF number.
So the greatest common factor 7878,2269 is 1.
Lets's calculate LCM of 559,6993
Given numbers has no common factors except 1. So, there LCM is their product i.e 3909087
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3909087
Therefore, the GCF of Fractions 7878/559,2269/6993 is 1/3909087
Least Common Multiple of 559,6993 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 559,6993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,6993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,6993) x common factors =1 x 1 = 1
LCM(559,6993) = ( 559 × 6993 ) / 1
LCM(559,6993) = 3909087 / 1
LCM(559,6993) = 3909087
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FAQs on GCF of Fractions of 7878/559, 2269/6993
1. What is the HCF of 7878,2269?
The HCF of 7878,2269 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 7878/559, 2269/6993?
Answer: GCF of Numerators as per given numbers 7878/559, 2269/6993 is
GCF of Numerators i.e. for 7878,2269 is 1
LCM of denominators i.e. for 559,6993 is 3909087.
Thus, GCF of Fractions is 1/3909087.Finally, GCF of Fractions for 7878/559, 2269/6993 is 1/3909087.