GCF of 265/68, 524/22, 213/11
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 265/68, 524/22, 213/11 i.e 1/748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 265/68, 524/22, 213/11.
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 265/68,524/22,213/11?
Given fractions are 265/68,524/22,213/11
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 265/68,524/22,213/11, numerators are 265,524,213
Denominators are 68,22,11
The GCF of 265,524,213 is 1 .
LCM of 68,22,11 is 748.
The greatest common factor of 265/68,524/22,213/11 = [GCF of 265,524,213]/[LCM of 68,22,11]= 1/748
Therefore, the GCF of 265/68,524/22,213/11 is 1/748.
To find the highest common factor of 265,524,213, we have to find the factors of both numbers and list the highest common factor.
The factors of 265 are 1, 5, 53, 265
The factors of 524 are 1, 2, 4, 131, 262, 524
The factors of 213 are 1, 3, 71, 213
The HCF of 265,524,213 is 1.
Lets's calculate GCF of 265,524,213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 265,524,213 By Matching Biggest Common Factor Method
Now, list down the factors of 265
:1,5,53,265
Now, list down the factors of 524
:1,2,4,131,262,524
Now, list down the factors of 213
:1,3,71,213
Greatest Common Factor
We found the factors 265,524,213 . The biggest common factor number is the GCF number.
So the greatest common factor 265,524,213 is 1.
Lets's calculate LCM of 68,22,11
| 2 | 68, 22, 11 |
| 11 | 34, 11, 11 |
| 34, 1, 1 |
∴ So the LCM of the given numbers is 2 x 11 x 34 x 1 x 1 = 748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/748
Therefore, the GCF of Fractions 265/68,524/22,213/11 is 1/748
Least Common Multiple of 68,22,11 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 68,22,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,22,11) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(68,22,11) x common factors =1 x 22 = 22
LCM(68,22,11) = ( 68 × 22 × 11 ) / 22
LCM(68,22,11) = 16456 / 22
LCM(68,22,11) = 748
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FAQs on GCF of Fractions of 265/68, 524/22, 213/11
1. What is the HCF of 265,524,213?
The HCF of 265,524,213 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 265/68, 524/22, 213/11?
Answer: GCF of Numerators as per given numbers 265/68, 524/22, 213/11 is
GCF of Numerators i.e. for 265,524,213 is 1
LCM of denominators i.e. for 68,22,11 is 748.
Thus, GCF of Fractions is 1/748.Finally, GCF of Fractions for 265/68, 524/22, 213/11 is 1/748.