GCF of 2750/717, 7071/897
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2750/717, 7071/897 i.e 1/214383 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2750/717, 7071/897.
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 2750/717,7071/897?
Given fractions are 2750/717,7071/897
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 2750/717,7071/897, numerators are 2750,7071
Denominators are 717,897
The GCF of 2750,7071 is 1 .
LCM of 717,897 is 214383.
The greatest common factor of 2750/717,7071/897 = [GCF of 2750,7071]/[LCM of 717,897]= 1/214383
Therefore, the GCF of 2750/717,7071/897 is 1/214383.
To find the highest common factor of 2750,7071, we have to find the factors of both numbers and list the highest common factor.
The factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750
The factors of 7071 are 1, 3, 2357, 7071
The HCF of 2750,7071 is 1.
Lets's calculate GCF of 2750,7071
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2750,7071 By Matching Biggest Common Factor Method
Now, list down the factors of 2750
:1,2,5,10,11,22,25,50,55,110,125,250,275,550,1375,2750
Now, list down the factors of 7071
:1,3,2357,7071
Greatest Common Factor
We found the factors 2750,7071 . The biggest common factor number is the GCF number.
So the greatest common factor 2750,7071 is 1.
Lets's calculate LCM of 717,897
| 3 | 717, 897 |
| 239, 299 |
∴ So the LCM of the given numbers is 3 x 239 x 299 = 214383
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214383
Therefore, the GCF of Fractions 2750/717,7071/897 is 1/214383
Least Common Multiple of 717,897 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 717,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,897) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,897) x common factors =3 x 1 = 3
LCM(717,897) = ( 717 × 897 ) / 3
LCM(717,897) = 643149 / 3
LCM(717,897) = 214383
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FAQs on GCF of Fractions of 2750/717, 7071/897
1. What is the HCF of 2750,7071?
The HCF of 2750,7071 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 2750/717, 7071/897?
Answer: GCF of Numerators as per given numbers 2750/717, 7071/897 is
GCF of Numerators i.e. for 2750,7071 is 1
LCM of denominators i.e. for 717,897 is 214383.
Thus, GCF of Fractions is 1/214383.Finally, GCF of Fractions for 2750/717, 7071/897 is 1/214383.