GCF of 1199/892, 2208/585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1199/892, 2208/585 i.e 1/521820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1199/892, 2208/585.
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 1199/892,2208/585?
Given fractions are 1199/892,2208/585
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 1199/892,2208/585, numerators are 1199,2208
Denominators are 892,585
The GCF of 1199,2208 is 1 .
LCM of 892,585 is 521820.
The greatest common factor of 1199/892,2208/585 = [GCF of 1199,2208]/[LCM of 892,585]= 1/521820
Therefore, the GCF of 1199/892,2208/585 is 1/521820.
To find the highest common factor of 1199,2208, we have to find the factors of both numbers and list the highest common factor.
The factors of 1199 are 1, 11, 109, 1199
The factors of 2208 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104, 2208
The HCF of 1199,2208 is 1.
Lets's calculate GCF of 1199,2208
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1199,2208 By Matching Biggest Common Factor Method
Now, list down the factors of 1199
:1,11,109,1199
Now, list down the factors of 2208
:1,2,3,4,6,8,12,16,23,24,32,46,48,69,92,96,138,184,276,368,552,736,1104,2208
Greatest Common Factor
We found the factors 1199,2208 . The biggest common factor number is the GCF number.
So the greatest common factor 1199,2208 is 1.
Lets's calculate LCM of 892,585
Given numbers has no common factors except 1. So, there LCM is their product i.e 521820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/521820
Therefore, the GCF of Fractions 1199/892,2208/585 is 1/521820
Least Common Multiple of 892,585 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 892,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(892,585) x common factors =1 x 1 = 1
LCM(892,585) = ( 892 × 585 ) / 1
LCM(892,585) = 521820 / 1
LCM(892,585) = 521820
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FAQs on GCF of Fractions of 1199/892, 2208/585
1. What is the HCF of 1199,2208?
The HCF of 1199,2208 is 1
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 1199/892, 2208/585?
Answer: GCF of Numerators as per given numbers 1199/892, 2208/585 is
GCF of Numerators i.e. for 1199,2208 is 1
LCM of denominators i.e. for 892,585 is 521820.
Thus, GCF of Fractions is 1/521820.Finally, GCF of Fractions for 1199/892, 2208/585 is 1/521820.