GCF of 5223/429, 7869/9738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5223/429, 7869/9738 i.e 3/1392534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5223/429, 7869/9738.
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 5223/429,7869/9738?
Given fractions are 5223/429,7869/9738
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 5223/429,7869/9738, numerators are 5223,7869
Denominators are 429,9738
The GCF of 5223,7869 is 3 .
LCM of 429,9738 is 1392534.
The greatest common factor of 5223/429,7869/9738 = [GCF of 5223,7869]/[LCM of 429,9738]= 3/1392534
Therefore, the GCF of 5223/429,7869/9738 is 3/1392534.
To find the highest common factor of 5223,7869, we have to find the factors of both numbers and list the highest common factor.
The factors of 5223 are 1, 3, 1741, 5223
The factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869
The HCF of 5223,7869 is 3.
Lets's calculate GCF of 5223,7869
| 3 | 5223, 7869 |
| 1741, 2623 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5223,7869 By Matching Biggest Common Factor Method
Now, list down the factors of 5223
:1,3,1741,5223
Now, list down the factors of 7869
:1,3,43,61,129,183,2623,7869
Greatest Common Factor
We found the factors 5223,7869 . The biggest common factor number is the GCF number.
So the greatest common factor 5223,7869 is 3.
Lets's calculate LCM of 429,9738
| 3 | 429, 9738 |
| 143, 3246 |
∴ So the LCM of the given numbers is 3 x 143 x 3246 = 1392534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1392534
Therefore, the GCF of Fractions 5223/429,7869/9738 is 3/1392534
Least Common Multiple of 429,9738 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 429,9738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,9738) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(429,9738) x common factors =3 x 1 = 3
LCM(429,9738) = ( 429 × 9738 ) / 3
LCM(429,9738) = 4177602 / 3
LCM(429,9738) = 1392534
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FAQs on GCF of Fractions of 5223/429, 7869/9738
1. What is the HCF of 5223,7869?
The HCF of 5223,7869 is 3
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 5223/429, 7869/9738?
Answer: GCF of Numerators as per given numbers 5223/429, 7869/9738 is
GCF of Numerators i.e. for 5223,7869 is 3
LCM of denominators i.e. for 429,9738 is 1392534.
Thus, GCF of Fractions is 3/1392534.Finally, GCF of Fractions for 5223/429, 7869/9738 is 3/1392534.