GCF of 9499/689, 2852/8223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9499/689, 2852/8223 i.e 23/5665647 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9499/689, 2852/8223.
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 9499/689,2852/8223?
Given fractions are 9499/689,2852/8223
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 9499/689,2852/8223, numerators are 9499,2852
Denominators are 689,8223
The GCF of 9499,2852 is 23 .
LCM of 689,8223 is 5665647.
The greatest common factor of 9499/689,2852/8223 = [GCF of 9499,2852]/[LCM of 689,8223]= 23/5665647
Therefore, the GCF of 9499/689,2852/8223 is 23/5665647.
To find the highest common factor of 9499,2852, we have to find the factors of both numbers and list the highest common factor.
The factors of 9499 are 1, 7, 23, 59, 161, 413, 1357, 9499
The factors of 2852 are 1, 2, 4, 23, 31, 46, 62, 92, 124, 713, 1426, 2852
The HCF of 9499,2852 is 23.
Lets's calculate GCF of 9499,2852
| 23 | 9499, 2852 |
| 413, 124 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 9499,2852 By Matching Biggest Common Factor Method
Now, list down the factors of 9499
:1,7,23,59,161,413,1357,9499
Now, list down the factors of 2852
:1,2,4,23,31,46,62,92,124,713,1426,2852
Greatest Common Factor
We found the factors 9499,2852 . The biggest common factor number is the GCF number.
So the greatest common factor 9499,2852 is 23.
Lets's calculate LCM of 689,8223
Given numbers has no common factors except 1. So, there LCM is their product i.e 5665647
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/5665647
Therefore, the GCF of Fractions 9499/689,2852/8223 is 23/5665647
Least Common Multiple of 689,8223 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 689,8223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,8223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,8223) x common factors =1 x 1 = 1
LCM(689,8223) = ( 689 × 8223 ) / 1
LCM(689,8223) = 5665647 / 1
LCM(689,8223) = 5665647
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FAQs on GCF of Fractions of 9499/689, 2852/8223
1. What is the HCF of 9499,2852?
The HCF of 9499,2852 is 23
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 9499/689, 2852/8223?
Answer: GCF of Numerators as per given numbers 9499/689, 2852/8223 is
GCF of Numerators i.e. for 9499,2852 is 23
LCM of denominators i.e. for 689,8223 is 5665647.
Thus, GCF of Fractions is 23/5665647.Finally, GCF of Fractions for 9499/689, 2852/8223 is 23/5665647.