GCF of 2777/284, 6975/5189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2777/284, 6975/5189 i.e 1/1473676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2777/284, 6975/5189.
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 2777/284,6975/5189?
Given fractions are 2777/284,6975/5189
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 2777/284,6975/5189, numerators are 2777,6975
Denominators are 284,5189
The GCF of 2777,6975 is 1 .
LCM of 284,5189 is 1473676.
The greatest common factor of 2777/284,6975/5189 = [GCF of 2777,6975]/[LCM of 284,5189]= 1/1473676
Therefore, the GCF of 2777/284,6975/5189 is 1/1473676.
To find the highest common factor of 2777,6975, we have to find the factors of both numbers and list the highest common factor.
The factors of 2777 are 1, 2777
The factors of 6975 are 1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975
The HCF of 2777,6975 is 1.
Lets's calculate GCF of 2777,6975
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2777,6975 By Matching Biggest Common Factor Method
Now, list down the factors of 2777
:1,2777
Now, list down the factors of 6975
:1,3,5,9,15,25,31,45,75,93,155,225,279,465,775,1395,2325,6975
Greatest Common Factor
We found the factors 2777,6975 . The biggest common factor number is the GCF number.
So the greatest common factor 2777,6975 is 1.
Lets's calculate LCM of 284,5189
Given numbers has no common factors except 1. So, there LCM is their product i.e 1473676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1473676
Therefore, the GCF of Fractions 2777/284,6975/5189 is 1/1473676
Least Common Multiple of 284,5189 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 284,5189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,5189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,5189) x common factors =1 x 1 = 1
LCM(284,5189) = ( 284 × 5189 ) / 1
LCM(284,5189) = 1473676 / 1
LCM(284,5189) = 1473676
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FAQs on GCF of Fractions of 2777/284, 6975/5189
1. What is the HCF of 2777,6975?
The HCF of 2777,6975 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 2777/284, 6975/5189?
Answer: GCF of Numerators as per given numbers 2777/284, 6975/5189 is
GCF of Numerators i.e. for 2777,6975 is 1
LCM of denominators i.e. for 284,5189 is 1473676.
Thus, GCF of Fractions is 1/1473676.Finally, GCF of Fractions for 2777/284, 6975/5189 is 1/1473676.