GCF of 1190/899, 2198/758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1190/899, 2198/758 i.e 14/681442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1190/899, 2198/758.
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 1190/899,2198/758?
Given fractions are 1190/899,2198/758
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 1190/899,2198/758, numerators are 1190,2198
Denominators are 899,758
The GCF of 1190,2198 is 14 .
LCM of 899,758 is 681442.
The greatest common factor of 1190/899,2198/758 = [GCF of 1190,2198]/[LCM of 899,758]= 14/681442
Therefore, the GCF of 1190/899,2198/758 is 14/681442.
To find the highest common factor of 1190,2198, we have to find the factors of both numbers and list the highest common factor.
The factors of 1190 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190
The factors of 2198 are 1, 2, 7, 14, 157, 314, 1099, 2198
The HCF of 1190,2198 is 14.
Lets's calculate GCF of 1190,2198
| 2 | 1190, 2198 |
| 7 | 595, 1099 |
| 85, 157 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 1190,2198 By Matching Biggest Common Factor Method
Now, list down the factors of 1190
:1,2,5,7,10,14,17,34,35,70,85,119,170,238,595,1190
Now, list down the factors of 2198
:1,2,7,14,157,314,1099,2198
Greatest Common Factor
We found the factors 1190,2198 . The biggest common factor number is the GCF number.
So the greatest common factor 1190,2198 is 14.
Lets's calculate LCM of 899,758
Given numbers has no common factors except 1. So, there LCM is their product i.e 681442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/681442
Therefore, the GCF of Fractions 1190/899,2198/758 is 14/681442
Least Common Multiple of 899,758 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 899,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,758) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,758) x common factors =1 x 1 = 1
LCM(899,758) = ( 899 × 758 ) / 1
LCM(899,758) = 681442 / 1
LCM(899,758) = 681442
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FAQs on GCF of Fractions of 1190/899, 2198/758
1. What is the HCF of 1190,2198?
The HCF of 1190,2198 is 14
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 1190/899, 2198/758?
Answer: GCF of Numerators as per given numbers 1190/899, 2198/758 is
GCF of Numerators i.e. for 1190,2198 is 14
LCM of denominators i.e. for 899,758 is 681442.
Thus, GCF of Fractions is 14/681442.Finally, GCF of Fractions for 1190/899, 2198/758 is 14/681442.