GCF of 2982/614, 7571/297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2982/614, 7571/297 i.e 1/182358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2982/614, 7571/297.
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 2982/614,7571/297?
Given fractions are 2982/614,7571/297
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 2982/614,7571/297, numerators are 2982,7571
Denominators are 614,297
The GCF of 2982,7571 is 1 .
LCM of 614,297 is 182358.
The greatest common factor of 2982/614,7571/297 = [GCF of 2982,7571]/[LCM of 614,297]= 1/182358
Therefore, the GCF of 2982/614,7571/297 is 1/182358.
To find the highest common factor of 2982,7571, we have to find the factors of both numbers and list the highest common factor.
The factors of 2982 are 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982
The factors of 7571 are 1, 67, 113, 7571
The HCF of 2982,7571 is 1.
Lets's calculate GCF of 2982,7571
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2982,7571 By Matching Biggest Common Factor Method
Now, list down the factors of 2982
:1,2,3,6,7,14,21,42,71,142,213,426,497,994,1491,2982
Now, list down the factors of 7571
:1,67,113,7571
Greatest Common Factor
We found the factors 2982,7571 . The biggest common factor number is the GCF number.
So the greatest common factor 2982,7571 is 1.
Lets's calculate LCM of 614,297
Given numbers has no common factors except 1. So, there LCM is their product i.e 182358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182358
Therefore, the GCF of Fractions 2982/614,7571/297 is 1/182358
Least Common Multiple of 614,297 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 614,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(614,297) x common factors =1 x 1 = 1
LCM(614,297) = ( 614 × 297 ) / 1
LCM(614,297) = 182358 / 1
LCM(614,297) = 182358
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FAQs on GCF of Fractions of 2982/614, 7571/297
1. What is the HCF of 2982,7571?
The HCF of 2982,7571 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 2982/614, 7571/297?
Answer: GCF of Numerators as per given numbers 2982/614, 7571/297 is
GCF of Numerators i.e. for 2982,7571 is 1
LCM of denominators i.e. for 614,297 is 182358.
Thus, GCF of Fractions is 1/182358.Finally, GCF of Fractions for 2982/614, 7571/297 is 1/182358.