GCF of 3113/242, 2519/8921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3113/242, 2519/8921 i.e 11/196262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3113/242, 2519/8921.
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 3113/242,2519/8921?
Given fractions are 3113/242,2519/8921
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 3113/242,2519/8921, numerators are 3113,2519
Denominators are 242,8921
The GCF of 3113,2519 is 11 .
LCM of 242,8921 is 196262.
The greatest common factor of 3113/242,2519/8921 = [GCF of 3113,2519]/[LCM of 242,8921]= 11/196262
Therefore, the GCF of 3113/242,2519/8921 is 11/196262.
To find the highest common factor of 3113,2519, we have to find the factors of both numbers and list the highest common factor.
The factors of 3113 are 1, 11, 283, 3113
The factors of 2519 are 1, 11, 229, 2519
The HCF of 3113,2519 is 11.
Lets's calculate GCF of 3113,2519
| 11 | 3113, 2519 |
| 283, 229 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3113,2519 By Matching Biggest Common Factor Method
Now, list down the factors of 3113
:1,11,283,3113
Now, list down the factors of 2519
:1,11,229,2519
Greatest Common Factor
We found the factors 3113,2519 . The biggest common factor number is the GCF number.
So the greatest common factor 3113,2519 is 11.
Lets's calculate LCM of 242,8921
| 11 | 242, 8921 |
| 22, 811 |
∴ So the LCM of the given numbers is 11 x 22 x 811 = 196262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/196262
Therefore, the GCF of Fractions 3113/242,2519/8921 is 11/196262
Least Common Multiple of 242,8921 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 242,8921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,8921) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(242,8921) x common factors =11 x 1 = 11
LCM(242,8921) = ( 242 × 8921 ) / 11
LCM(242,8921) = 2158882 / 11
LCM(242,8921) = 196262
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FAQs on GCF of Fractions of 3113/242, 2519/8921
1. What is the HCF of 3113,2519?
The HCF of 3113,2519 is 11
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 3113/242, 2519/8921?
Answer: GCF of Numerators as per given numbers 3113/242, 2519/8921 is
GCF of Numerators i.e. for 3113,2519 is 11
LCM of denominators i.e. for 242,8921 is 196262.
Thus, GCF of Fractions is 11/196262.Finally, GCF of Fractions for 3113/242, 2519/8921 is 11/196262.