GCF of 2941/472, 6840/379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2941/472, 6840/379 i.e 1/178888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2941/472, 6840/379.
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 2941/472,6840/379?
Given fractions are 2941/472,6840/379
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 2941/472,6840/379, numerators are 2941,6840
Denominators are 472,379
The GCF of 2941,6840 is 1 .
LCM of 472,379 is 178888.
The greatest common factor of 2941/472,6840/379 = [GCF of 2941,6840]/[LCM of 472,379]= 1/178888
Therefore, the GCF of 2941/472,6840/379 is 1/178888.
To find the highest common factor of 2941,6840, we have to find the factors of both numbers and list the highest common factor.
The factors of 2941 are 1, 17, 173, 2941
The factors of 6840 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 57, 60, 72, 76, 90, 95, 114, 120, 152, 171, 180, 190, 228, 285, 342, 360, 380, 456, 570, 684, 760, 855, 1140, 1368, 1710, 2280, 3420, 6840
The HCF of 2941,6840 is 1.
Lets's calculate GCF of 2941,6840
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2941,6840 By Matching Biggest Common Factor Method
Now, list down the factors of 2941
:1,17,173,2941
Now, list down the factors of 6840
:1,2,3,4,5,6,8,9,10,12,15,18,19,20,24,30,36,38,40,45,57,60,72,76,90,95,114,120,152,171,180,190,228,285,342,360,380,456,570,684,760,855,1140,1368,1710,2280,3420,6840
Greatest Common Factor
We found the factors 2941,6840 . The biggest common factor number is the GCF number.
So the greatest common factor 2941,6840 is 1.
Lets's calculate LCM of 472,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 178888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178888
Therefore, the GCF of Fractions 2941/472,6840/379 is 1/178888
Least Common Multiple of 472,379 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 472,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,379) x common factors =1 x 1 = 1
LCM(472,379) = ( 472 × 379 ) / 1
LCM(472,379) = 178888 / 1
LCM(472,379) = 178888
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FAQs on GCF of Fractions of 2941/472, 6840/379
1. What is the HCF of 2941,6840?
The HCF of 2941,6840 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 2941/472, 6840/379?
Answer: GCF of Numerators as per given numbers 2941/472, 6840/379 is
GCF of Numerators i.e. for 2941,6840 is 1
LCM of denominators i.e. for 472,379 is 178888.
Thus, GCF of Fractions is 1/178888.Finally, GCF of Fractions for 2941/472, 6840/379 is 1/178888.