GCF of 2752/550, 7853/5758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2752/550, 7853/5758 i.e 1/1583450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2752/550, 7853/5758.
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 2752/550,7853/5758?
Given fractions are 2752/550,7853/5758
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 2752/550,7853/5758, numerators are 2752,7853
Denominators are 550,5758
The GCF of 2752,7853 is 1 .
LCM of 550,5758 is 1583450.
The greatest common factor of 2752/550,7853/5758 = [GCF of 2752,7853]/[LCM of 550,5758]= 1/1583450
Therefore, the GCF of 2752/550,7853/5758 is 1/1583450.
To find the highest common factor of 2752,7853, we have to find the factors of both numbers and list the highest common factor.
The factors of 2752 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376, 2752
The factors of 7853 are 1, 7853
The HCF of 2752,7853 is 1.
Lets's calculate GCF of 2752,7853
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2752,7853 By Matching Biggest Common Factor Method
Now, list down the factors of 2752
:1,2,4,8,16,32,43,64,86,172,344,688,1376,2752
Now, list down the factors of 7853
:1,7853
Greatest Common Factor
We found the factors 2752,7853 . The biggest common factor number is the GCF number.
So the greatest common factor 2752,7853 is 1.
Lets's calculate LCM of 550,5758
| 2 | 550, 5758 |
| 275, 2879 |
∴ So the LCM of the given numbers is 2 x 275 x 2879 = 1583450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1583450
Therefore, the GCF of Fractions 2752/550,7853/5758 is 1/1583450
Least Common Multiple of 550,5758 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 550,5758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,5758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(550,5758) x common factors =2 x 1 = 2
LCM(550,5758) = ( 550 × 5758 ) / 2
LCM(550,5758) = 3166900 / 2
LCM(550,5758) = 1583450
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2752/550, 7853/5758
1. What is the HCF of 2752,7853?
The HCF of 2752,7853 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 2752/550, 7853/5758?
Answer: GCF of Numerators as per given numbers 2752/550, 7853/5758 is
GCF of Numerators i.e. for 2752,7853 is 1
LCM of denominators i.e. for 550,5758 is 1583450.
Thus, GCF of Fractions is 1/1583450.Finally, GCF of Fractions for 2752/550, 7853/5758 is 1/1583450.