GCF of 2941/427, 7973/8536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2941/427, 7973/8536 i.e 17/3644872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2941/427, 7973/8536.
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 2941/427,7973/8536?
Given fractions are 2941/427,7973/8536
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 2941/427,7973/8536, numerators are 2941,7973
Denominators are 427,8536
The GCF of 2941,7973 is 17 .
LCM of 427,8536 is 3644872.
The greatest common factor of 2941/427,7973/8536 = [GCF of 2941,7973]/[LCM of 427,8536]= 17/3644872
Therefore, the GCF of 2941/427,7973/8536 is 17/3644872.
To find the highest common factor of 2941,7973, 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 7973 are 1, 7, 17, 67, 119, 469, 1139, 7973
The HCF of 2941,7973 is 17.
Lets's calculate GCF of 2941,7973
| 17 | 2941, 7973 |
| 173, 469 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 2941,7973 By Matching Biggest Common Factor Method
Now, list down the factors of 2941
:1,17,173,2941
Now, list down the factors of 7973
:1,7,17,67,119,469,1139,7973
Greatest Common Factor
We found the factors 2941,7973 . The biggest common factor number is the GCF number.
So the greatest common factor 2941,7973 is 17.
Lets's calculate LCM of 427,8536
Given numbers has no common factors except 1. So, there LCM is their product i.e 3644872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/3644872
Therefore, the GCF of Fractions 2941/427,7973/8536 is 17/3644872
Least Common Multiple of 427,8536 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 427,8536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,8536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,8536) x common factors =1 x 1 = 1
LCM(427,8536) = ( 427 × 8536 ) / 1
LCM(427,8536) = 3644872 / 1
LCM(427,8536) = 3644872
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FAQs on GCF of Fractions of 2941/427, 7973/8536
1. What is the HCF of 2941,7973?
The HCF of 2941,7973 is 17
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 2941/427, 7973/8536?
Answer: GCF of Numerators as per given numbers 2941/427, 7973/8536 is
GCF of Numerators i.e. for 2941,7973 is 17
LCM of denominators i.e. for 427,8536 is 3644872.
Thus, GCF of Fractions is 17/3644872.Finally, GCF of Fractions for 2941/427, 7973/8536 is 17/3644872.