GCF of 6867/556, 1114/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6867/556, 1114/319 i.e 1/177364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6867/556, 1114/319.
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 6867/556,1114/319?
Given fractions are 6867/556,1114/319
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 6867/556,1114/319, numerators are 6867,1114
Denominators are 556,319
The GCF of 6867,1114 is 1 .
LCM of 556,319 is 177364.
The greatest common factor of 6867/556,1114/319 = [GCF of 6867,1114]/[LCM of 556,319]= 1/177364
Therefore, the GCF of 6867/556,1114/319 is 1/177364.
To find the highest common factor of 6867,1114, we have to find the factors of both numbers and list the highest common factor.
The factors of 6867 are 1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867
The factors of 1114 are 1, 2, 557, 1114
The HCF of 6867,1114 is 1.
Lets's calculate GCF of 6867,1114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6867,1114 By Matching Biggest Common Factor Method
Now, list down the factors of 6867
:1,3,7,9,21,63,109,327,763,981,2289,6867
Now, list down the factors of 1114
:1,2,557,1114
Greatest Common Factor
We found the factors 6867,1114 . The biggest common factor number is the GCF number.
So the greatest common factor 6867,1114 is 1.
Lets's calculate LCM of 556,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 177364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177364
Therefore, the GCF of Fractions 6867/556,1114/319 is 1/177364
Least Common Multiple of 556,319 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 556,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(556,319) x common factors =1 x 1 = 1
LCM(556,319) = ( 556 × 319 ) / 1
LCM(556,319) = 177364 / 1
LCM(556,319) = 177364
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FAQs on GCF of Fractions of 6867/556, 1114/319
1. What is the HCF of 6867,1114?
The HCF of 6867,1114 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 6867/556, 1114/319?
Answer: GCF of Numerators as per given numbers 6867/556, 1114/319 is
GCF of Numerators i.e. for 6867,1114 is 1
LCM of denominators i.e. for 556,319 is 177364.
Thus, GCF of Fractions is 1/177364.Finally, GCF of Fractions for 6867/556, 1114/319 is 1/177364.