GCF of 2722/270, 5267/9753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2722/270, 5267/9753 i.e 1/877770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2722/270, 5267/9753.
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 2722/270,5267/9753?
Given fractions are 2722/270,5267/9753
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 2722/270,5267/9753, numerators are 2722,5267
Denominators are 270,9753
The GCF of 2722,5267 is 1 .
LCM of 270,9753 is 877770.
The greatest common factor of 2722/270,5267/9753 = [GCF of 2722,5267]/[LCM of 270,9753]= 1/877770
Therefore, the GCF of 2722/270,5267/9753 is 1/877770.
To find the highest common factor of 2722,5267, we have to find the factors of both numbers and list the highest common factor.
The factors of 2722 are 1, 2, 1361, 2722
The factors of 5267 are 1, 23, 229, 5267
The HCF of 2722,5267 is 1.
Lets's calculate GCF of 2722,5267
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2722,5267 By Matching Biggest Common Factor Method
Now, list down the factors of 2722
:1,2,1361,2722
Now, list down the factors of 5267
:1,23,229,5267
Greatest Common Factor
We found the factors 2722,5267 . The biggest common factor number is the GCF number.
So the greatest common factor 2722,5267 is 1.
Lets's calculate LCM of 270,9753
| 3 | 270, 9753 |
| 90, 3251 |
∴ So the LCM of the given numbers is 3 x 90 x 3251 = 877770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/877770
Therefore, the GCF of Fractions 2722/270,5267/9753 is 1/877770
Least Common Multiple of 270,9753 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 270,9753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,9753) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(270,9753) x common factors =3 x 1 = 3
LCM(270,9753) = ( 270 × 9753 ) / 3
LCM(270,9753) = 2633310 / 3
LCM(270,9753) = 877770
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FAQs on GCF of Fractions of 2722/270, 5267/9753
1. What is the HCF of 2722,5267?
The HCF of 2722,5267 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 2722/270, 5267/9753?
Answer: GCF of Numerators as per given numbers 2722/270, 5267/9753 is
GCF of Numerators i.e. for 2722,5267 is 1
LCM of denominators i.e. for 270,9753 is 877770.
Thus, GCF of Fractions is 1/877770.Finally, GCF of Fractions for 2722/270, 5267/9753 is 1/877770.