GCF of 1849/123, 7052/9200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1849/123, 7052/9200 i.e 43/1131600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1849/123, 7052/9200.
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 1849/123,7052/9200?
Given fractions are 1849/123,7052/9200
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 1849/123,7052/9200, numerators are 1849,7052
Denominators are 123,9200
The GCF of 1849,7052 is 43 .
LCM of 123,9200 is 1131600.
The greatest common factor of 1849/123,7052/9200 = [GCF of 1849,7052]/[LCM of 123,9200]= 43/1131600
Therefore, the GCF of 1849/123,7052/9200 is 43/1131600.
To find the highest common factor of 1849,7052, we have to find the factors of both numbers and list the highest common factor.
The factors of 1849 are 1, 43, 1849
The factors of 7052 are 1, 2, 4, 41, 43, 82, 86, 164, 172, 1763, 3526, 7052
The HCF of 1849,7052 is 43.
Lets's calculate GCF of 1849,7052
| 43 | 1849, 7052 |
| 43, 164 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 1849,7052 By Matching Biggest Common Factor Method
Now, list down the factors of 1849
:1,43,1849
Now, list down the factors of 7052
:1,2,4,41,43,82,86,164,172,1763,3526,7052
Greatest Common Factor
We found the factors 1849,7052 . The biggest common factor number is the GCF number.
So the greatest common factor 1849,7052 is 43.
Lets's calculate LCM of 123,9200
Given numbers has no common factors except 1. So, there LCM is their product i.e 1131600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/1131600
Therefore, the GCF of Fractions 1849/123,7052/9200 is 43/1131600
Least Common Multiple of 123,9200 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 123,9200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,9200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,9200) x common factors =1 x 1 = 1
LCM(123,9200) = ( 123 × 9200 ) / 1
LCM(123,9200) = 1131600 / 1
LCM(123,9200) = 1131600
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FAQs on GCF of Fractions of 1849/123, 7052/9200
1. What is the HCF of 1849,7052?
The HCF of 1849,7052 is 43
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 1849/123, 7052/9200?
Answer: GCF of Numerators as per given numbers 1849/123, 7052/9200 is
GCF of Numerators i.e. for 1849,7052 is 43
LCM of denominators i.e. for 123,9200 is 1131600.
Thus, GCF of Fractions is 43/1131600.Finally, GCF of Fractions for 1849/123, 7052/9200 is 43/1131600.