GCF of 875/526, 2718/655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 875/526, 2718/655 i.e 1/344530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 875/526, 2718/655.
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 875/526,2718/655?
Given fractions are 875/526,2718/655
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 875/526,2718/655, numerators are 875,2718
Denominators are 526,655
The GCF of 875,2718 is 1 .
LCM of 526,655 is 344530.
The greatest common factor of 875/526,2718/655 = [GCF of 875,2718]/[LCM of 526,655]= 1/344530
Therefore, the GCF of 875/526,2718/655 is 1/344530.
To find the highest common factor of 875,2718, we have to find the factors of both numbers and list the highest common factor.
The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875
The factors of 2718 are 1, 2, 3, 6, 9, 18, 151, 302, 453, 906, 1359, 2718
The HCF of 875,2718 is 1.
Lets's calculate GCF of 875,2718
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 875,2718 By Matching Biggest Common Factor Method
Now, list down the factors of 875
:1,5,7,25,35,125,175,875
Now, list down the factors of 2718
:1,2,3,6,9,18,151,302,453,906,1359,2718
Greatest Common Factor
We found the factors 875,2718 . The biggest common factor number is the GCF number.
So the greatest common factor 875,2718 is 1.
Lets's calculate LCM of 526,655
Given numbers has no common factors except 1. So, there LCM is their product i.e 344530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344530
Therefore, the GCF of Fractions 875/526,2718/655 is 1/344530
Least Common Multiple of 526,655 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 526,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(526,655) x common factors =1 x 1 = 1
LCM(526,655) = ( 526 × 655 ) / 1
LCM(526,655) = 344530 / 1
LCM(526,655) = 344530
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FAQs on GCF of Fractions of 875/526, 2718/655
1. What is the HCF of 875,2718?
The HCF of 875,2718 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 875/526, 2718/655?
Answer: GCF of Numerators as per given numbers 875/526, 2718/655 is
GCF of Numerators i.e. for 875,2718 is 1
LCM of denominators i.e. for 526,655 is 344530.
Thus, GCF of Fractions is 1/344530.Finally, GCF of Fractions for 875/526, 2718/655 is 1/344530.