GCF of 2123/477, 1067/9527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2123/477, 1067/9527 i.e 11/4544379 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2123/477, 1067/9527.
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 2123/477,1067/9527?
Given fractions are 2123/477,1067/9527
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 2123/477,1067/9527, numerators are 2123,1067
Denominators are 477,9527
The GCF of 2123,1067 is 11 .
LCM of 477,9527 is 4544379.
The greatest common factor of 2123/477,1067/9527 = [GCF of 2123,1067]/[LCM of 477,9527]= 11/4544379
Therefore, the GCF of 2123/477,1067/9527 is 11/4544379.
To find the highest common factor of 2123,1067, we have to find the factors of both numbers and list the highest common factor.
The factors of 2123 are 1, 11, 193, 2123
The factors of 1067 are 1, 11, 97, 1067
The HCF of 2123,1067 is 11.
Lets's calculate GCF of 2123,1067
| 11 | 2123, 1067 |
| 193, 97 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2123,1067 By Matching Biggest Common Factor Method
Now, list down the factors of 2123
:1,11,193,2123
Now, list down the factors of 1067
:1,11,97,1067
Greatest Common Factor
We found the factors 2123,1067 . The biggest common factor number is the GCF number.
So the greatest common factor 2123,1067 is 11.
Lets's calculate LCM of 477,9527
Given numbers has no common factors except 1. So, there LCM is their product i.e 4544379
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4544379
Therefore, the GCF of Fractions 2123/477,1067/9527 is 11/4544379
Least Common Multiple of 477,9527 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 477,9527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,9527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,9527) x common factors =1 x 1 = 1
LCM(477,9527) = ( 477 × 9527 ) / 1
LCM(477,9527) = 4544379 / 1
LCM(477,9527) = 4544379
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FAQs on GCF of Fractions of 2123/477, 1067/9527
1. What is the HCF of 2123,1067?
The HCF of 2123,1067 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 2123/477, 1067/9527?
Answer: GCF of Numerators as per given numbers 2123/477, 1067/9527 is
GCF of Numerators i.e. for 2123,1067 is 11
LCM of denominators i.e. for 477,9527 is 4544379.
Thus, GCF of Fractions is 11/4544379.Finally, GCF of Fractions for 2123/477, 1067/9527 is 11/4544379.