GCF of 3157/299, 2029/7142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3157/299, 2029/7142 i.e 1/2135458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3157/299, 2029/7142.
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 3157/299,2029/7142?
Given fractions are 3157/299,2029/7142
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 3157/299,2029/7142, numerators are 3157,2029
Denominators are 299,7142
The GCF of 3157,2029 is 1 .
LCM of 299,7142 is 2135458.
The greatest common factor of 3157/299,2029/7142 = [GCF of 3157,2029]/[LCM of 299,7142]= 1/2135458
Therefore, the GCF of 3157/299,2029/7142 is 1/2135458.
To find the highest common factor of 3157,2029, we have to find the factors of both numbers and list the highest common factor.
The factors of 3157 are 1, 7, 11, 41, 77, 287, 451, 3157
The factors of 2029 are 1, 2029
The HCF of 3157,2029 is 1.
Lets's calculate GCF of 3157,2029
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3157,2029 By Matching Biggest Common Factor Method
Now, list down the factors of 3157
:1,7,11,41,77,287,451,3157
Now, list down the factors of 2029
:1,2029
Greatest Common Factor
We found the factors 3157,2029 . The biggest common factor number is the GCF number.
So the greatest common factor 3157,2029 is 1.
Lets's calculate LCM of 299,7142
Given numbers has no common factors except 1. So, there LCM is their product i.e 2135458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2135458
Therefore, the GCF of Fractions 3157/299,2029/7142 is 1/2135458
Least Common Multiple of 299,7142 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 299,7142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,7142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,7142) x common factors =1 x 1 = 1
LCM(299,7142) = ( 299 × 7142 ) / 1
LCM(299,7142) = 2135458 / 1
LCM(299,7142) = 2135458
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FAQs on GCF of Fractions of 3157/299, 2029/7142
1. What is the HCF of 3157,2029?
The HCF of 3157,2029 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 3157/299, 2029/7142?
Answer: GCF of Numerators as per given numbers 3157/299, 2029/7142 is
GCF of Numerators i.e. for 3157,2029 is 1
LCM of denominators i.e. for 299,7142 is 2135458.
Thus, GCF of Fractions is 1/2135458.Finally, GCF of Fractions for 3157/299, 2029/7142 is 1/2135458.