GCF of 2887/507, 7718/4244
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2887/507, 7718/4244 i.e 1/2151708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2887/507, 7718/4244.
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 2887/507,7718/4244?
Given fractions are 2887/507,7718/4244
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 2887/507,7718/4244, numerators are 2887,7718
Denominators are 507,4244
The GCF of 2887,7718 is 1 .
LCM of 507,4244 is 2151708.
The greatest common factor of 2887/507,7718/4244 = [GCF of 2887,7718]/[LCM of 507,4244]= 1/2151708
Therefore, the GCF of 2887/507,7718/4244 is 1/2151708.
To find the highest common factor of 2887,7718, we have to find the factors of both numbers and list the highest common factor.
The factors of 2887 are 1, 2887
The factors of 7718 are 1, 2, 17, 34, 227, 454, 3859, 7718
The HCF of 2887,7718 is 1.
Lets's calculate GCF of 2887,7718
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2887,7718 By Matching Biggest Common Factor Method
Now, list down the factors of 2887
:1,2887
Now, list down the factors of 7718
:1,2,17,34,227,454,3859,7718
Greatest Common Factor
We found the factors 2887,7718 . The biggest common factor number is the GCF number.
So the greatest common factor 2887,7718 is 1.
Lets's calculate LCM of 507,4244
Given numbers has no common factors except 1. So, there LCM is their product i.e 2151708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2151708
Therefore, the GCF of Fractions 2887/507,7718/4244 is 1/2151708
Least Common Multiple of 507,4244 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 507,4244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,4244) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,4244) x common factors =1 x 1 = 1
LCM(507,4244) = ( 507 × 4244 ) / 1
LCM(507,4244) = 2151708 / 1
LCM(507,4244) = 2151708
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FAQs on GCF of Fractions of 2887/507, 7718/4244
1. What is the HCF of 2887,7718?
The HCF of 2887,7718 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 2887/507, 7718/4244?
Answer: GCF of Numerators as per given numbers 2887/507, 7718/4244 is
GCF of Numerators i.e. for 2887,7718 is 1
LCM of denominators i.e. for 507,4244 is 2151708.
Thus, GCF of Fractions is 1/2151708.Finally, GCF of Fractions for 2887/507, 7718/4244 is 1/2151708.