GCF of 3426/254, 2017/1079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3426/254, 2017/1079 i.e 1/274066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3426/254, 2017/1079.
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 3426/254,2017/1079?
Given fractions are 3426/254,2017/1079
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 3426/254,2017/1079, numerators are 3426,2017
Denominators are 254,1079
The GCF of 3426,2017 is 1 .
LCM of 254,1079 is 274066.
The greatest common factor of 3426/254,2017/1079 = [GCF of 3426,2017]/[LCM of 254,1079]= 1/274066
Therefore, the GCF of 3426/254,2017/1079 is 1/274066.
To find the highest common factor of 3426,2017, we have to find the factors of both numbers and list the highest common factor.
The factors of 3426 are 1, 2, 3, 6, 571, 1142, 1713, 3426
The factors of 2017 are 1, 2017
The HCF of 3426,2017 is 1.
Lets's calculate GCF of 3426,2017
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3426,2017 By Matching Biggest Common Factor Method
Now, list down the factors of 3426
:1,2,3,6,571,1142,1713,3426
Now, list down the factors of 2017
:1,2017
Greatest Common Factor
We found the factors 3426,2017 . The biggest common factor number is the GCF number.
So the greatest common factor 3426,2017 is 1.
Lets's calculate LCM of 254,1079
Given numbers has no common factors except 1. So, there LCM is their product i.e 274066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274066
Therefore, the GCF of Fractions 3426/254,2017/1079 is 1/274066
Least Common Multiple of 254,1079 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 254,1079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,1079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,1079) x common factors =1 x 1 = 1
LCM(254,1079) = ( 254 × 1079 ) / 1
LCM(254,1079) = 274066 / 1
LCM(254,1079) = 274066
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FAQs on GCF of Fractions of 3426/254, 2017/1079
1. What is the HCF of 3426,2017?
The HCF of 3426,2017 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 3426/254, 2017/1079?
Answer: GCF of Numerators as per given numbers 3426/254, 2017/1079 is
GCF of Numerators i.e. for 3426,2017 is 1
LCM of denominators i.e. for 254,1079 is 274066.
Thus, GCF of Fractions is 1/274066.Finally, GCF of Fractions for 3426/254, 2017/1079 is 1/274066.