GCF of 2667/705, 8779/548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2667/705, 8779/548 i.e 1/386340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2667/705, 8779/548.
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 2667/705,8779/548?
Given fractions are 2667/705,8779/548
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 2667/705,8779/548, numerators are 2667,8779
Denominators are 705,548
The GCF of 2667,8779 is 1 .
LCM of 705,548 is 386340.
The greatest common factor of 2667/705,8779/548 = [GCF of 2667,8779]/[LCM of 705,548]= 1/386340
Therefore, the GCF of 2667/705,8779/548 is 1/386340.
To find the highest common factor of 2667,8779, we have to find the factors of both numbers and list the highest common factor.
The factors of 2667 are 1, 3, 7, 21, 127, 381, 889, 2667
The factors of 8779 are 1, 8779
The HCF of 2667,8779 is 1.
Lets's calculate GCF of 2667,8779
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2667,8779 By Matching Biggest Common Factor Method
Now, list down the factors of 2667
:1,3,7,21,127,381,889,2667
Now, list down the factors of 8779
:1,8779
Greatest Common Factor
We found the factors 2667,8779 . The biggest common factor number is the GCF number.
So the greatest common factor 2667,8779 is 1.
Lets's calculate LCM of 705,548
Given numbers has no common factors except 1. So, there LCM is their product i.e 386340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386340
Therefore, the GCF of Fractions 2667/705,8779/548 is 1/386340
Least Common Multiple of 705,548 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 705,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,548) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,548) x common factors =1 x 1 = 1
LCM(705,548) = ( 705 × 548 ) / 1
LCM(705,548) = 386340 / 1
LCM(705,548) = 386340
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FAQs on GCF of Fractions of 2667/705, 8779/548
1. What is the HCF of 2667,8779?
The HCF of 2667,8779 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 2667/705, 8779/548?
Answer: GCF of Numerators as per given numbers 2667/705, 8779/548 is
GCF of Numerators i.e. for 2667,8779 is 1
LCM of denominators i.e. for 705,548 is 386340.
Thus, GCF of Fractions is 1/386340.Finally, GCF of Fractions for 2667/705, 8779/548 is 1/386340.