GCF of 3137/998, 8050/893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3137/998, 8050/893 i.e 1/891214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3137/998, 8050/893.
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 3137/998,8050/893?
Given fractions are 3137/998,8050/893
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 3137/998,8050/893, numerators are 3137,8050
Denominators are 998,893
The GCF of 3137,8050 is 1 .
LCM of 998,893 is 891214.
The greatest common factor of 3137/998,8050/893 = [GCF of 3137,8050]/[LCM of 998,893]= 1/891214
Therefore, the GCF of 3137/998,8050/893 is 1/891214.
To find the highest common factor of 3137,8050, we have to find the factors of both numbers and list the highest common factor.
The factors of 3137 are 1, 3137
The factors of 8050 are 1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230, 322, 350, 575, 805, 1150, 1610, 4025, 8050
The HCF of 3137,8050 is 1.
Lets's calculate GCF of 3137,8050
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3137,8050 By Matching Biggest Common Factor Method
Now, list down the factors of 3137
:1,3137
Now, list down the factors of 8050
:1,2,5,7,10,14,23,25,35,46,50,70,115,161,175,230,322,350,575,805,1150,1610,4025,8050
Greatest Common Factor
We found the factors 3137,8050 . The biggest common factor number is the GCF number.
So the greatest common factor 3137,8050 is 1.
Lets's calculate LCM of 998,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 891214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/891214
Therefore, the GCF of Fractions 3137/998,8050/893 is 1/891214
Least Common Multiple of 998,893 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 998,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(998,893) x common factors =1 x 1 = 1
LCM(998,893) = ( 998 × 893 ) / 1
LCM(998,893) = 891214 / 1
LCM(998,893) = 891214
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FAQs on GCF of Fractions of 3137/998, 8050/893
1. What is the HCF of 3137,8050?
The HCF of 3137,8050 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 3137/998, 8050/893?
Answer: GCF of Numerators as per given numbers 3137/998, 8050/893 is
GCF of Numerators i.e. for 3137,8050 is 1
LCM of denominators i.e. for 998,893 is 891214.
Thus, GCF of Fractions is 1/891214.Finally, GCF of Fractions for 3137/998, 8050/893 is 1/891214.