GCF of 1511/722, 8850/2704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1511/722, 8850/2704 i.e 1/976144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1511/722, 8850/2704.
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 1511/722,8850/2704?
Given fractions are 1511/722,8850/2704
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 1511/722,8850/2704, numerators are 1511,8850
Denominators are 722,2704
The GCF of 1511,8850 is 1 .
LCM of 722,2704 is 976144.
The greatest common factor of 1511/722,8850/2704 = [GCF of 1511,8850]/[LCM of 722,2704]= 1/976144
Therefore, the GCF of 1511/722,8850/2704 is 1/976144.
To find the highest common factor of 1511,8850, we have to find the factors of both numbers and list the highest common factor.
The factors of 1511 are 1, 1511
The factors of 8850 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850
The HCF of 1511,8850 is 1.
Lets's calculate GCF of 1511,8850
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1511,8850 By Matching Biggest Common Factor Method
Now, list down the factors of 1511
:1,1511
Now, list down the factors of 8850
:1,2,3,5,6,10,15,25,30,50,59,75,118,150,177,295,354,590,885,1475,1770,2950,4425,8850
Greatest Common Factor
We found the factors 1511,8850 . The biggest common factor number is the GCF number.
So the greatest common factor 1511,8850 is 1.
Lets's calculate LCM of 722,2704
| 2 | 722, 2704 |
| 361, 1352 |
∴ So the LCM of the given numbers is 2 x 361 x 1352 = 976144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/976144
Therefore, the GCF of Fractions 1511/722,8850/2704 is 1/976144
Least Common Multiple of 722,2704 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 722,2704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,2704) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,2704) x common factors =2 x 1 = 2
LCM(722,2704) = ( 722 × 2704 ) / 2
LCM(722,2704) = 1952288 / 2
LCM(722,2704) = 976144
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1511/722, 8850/2704
1. What is the HCF of 1511,8850?
The HCF of 1511,8850 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 1511/722, 8850/2704?
Answer: GCF of Numerators as per given numbers 1511/722, 8850/2704 is
GCF of Numerators i.e. for 1511,8850 is 1
LCM of denominators i.e. for 722,2704 is 976144.
Thus, GCF of Fractions is 1/976144.Finally, GCF of Fractions for 1511/722, 8850/2704 is 1/976144.