GCF of 3057/409, 7009/278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3057/409, 7009/278 i.e 1/113702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3057/409, 7009/278.
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 3057/409,7009/278?
Given fractions are 3057/409,7009/278
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 3057/409,7009/278, numerators are 3057,7009
Denominators are 409,278
The GCF of 3057,7009 is 1 .
LCM of 409,278 is 113702.
The greatest common factor of 3057/409,7009/278 = [GCF of 3057,7009]/[LCM of 409,278]= 1/113702
Therefore, the GCF of 3057/409,7009/278 is 1/113702.
To find the highest common factor of 3057,7009, we have to find the factors of both numbers and list the highest common factor.
The factors of 3057 are 1, 3, 1019, 3057
The factors of 7009 are 1, 43, 163, 7009
The HCF of 3057,7009 is 1.
Lets's calculate GCF of 3057,7009
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3057,7009 By Matching Biggest Common Factor Method
Now, list down the factors of 3057
:1,3,1019,3057
Now, list down the factors of 7009
:1,43,163,7009
Greatest Common Factor
We found the factors 3057,7009 . The biggest common factor number is the GCF number.
So the greatest common factor 3057,7009 is 1.
Lets's calculate LCM of 409,278
Given numbers has no common factors except 1. So, there LCM is their product i.e 113702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113702
Therefore, the GCF of Fractions 3057/409,7009/278 is 1/113702
Least Common Multiple of 409,278 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 409,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,278) x common factors =1 x 1 = 1
LCM(409,278) = ( 409 × 278 ) / 1
LCM(409,278) = 113702 / 1
LCM(409,278) = 113702
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FAQs on GCF of Fractions of 3057/409, 7009/278
1. What is the HCF of 3057,7009?
The HCF of 3057,7009 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 3057/409, 7009/278?
Answer: GCF of Numerators as per given numbers 3057/409, 7009/278 is
GCF of Numerators i.e. for 3057,7009 is 1
LCM of denominators i.e. for 409,278 is 113702.
Thus, GCF of Fractions is 1/113702.Finally, GCF of Fractions for 3057/409, 7009/278 is 1/113702.