GCF of 2477/197, 8702/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2477/197, 8702/741 i.e 1/145977 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2477/197, 8702/741.
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 2477/197,8702/741?
Given fractions are 2477/197,8702/741
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 2477/197,8702/741, numerators are 2477,8702
Denominators are 197,741
The GCF of 2477,8702 is 1 .
LCM of 197,741 is 145977.
The greatest common factor of 2477/197,8702/741 = [GCF of 2477,8702]/[LCM of 197,741]= 1/145977
Therefore, the GCF of 2477/197,8702/741 is 1/145977.
To find the highest common factor of 2477,8702, we have to find the factors of both numbers and list the highest common factor.
The factors of 2477 are 1, 2477
The factors of 8702 are 1, 2, 19, 38, 229, 458, 4351, 8702
The HCF of 2477,8702 is 1.
Lets's calculate GCF of 2477,8702
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2477,8702 By Matching Biggest Common Factor Method
Now, list down the factors of 2477
:1,2477
Now, list down the factors of 8702
:1,2,19,38,229,458,4351,8702
Greatest Common Factor
We found the factors 2477,8702 . The biggest common factor number is the GCF number.
So the greatest common factor 2477,8702 is 1.
Lets's calculate LCM of 197,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 145977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145977
Therefore, the GCF of Fractions 2477/197,8702/741 is 1/145977
Least Common Multiple of 197,741 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 197,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,741) x common factors =1 x 1 = 1
LCM(197,741) = ( 197 × 741 ) / 1
LCM(197,741) = 145977 / 1
LCM(197,741) = 145977
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FAQs on GCF of Fractions of 2477/197, 8702/741
1. What is the HCF of 2477,8702?
The HCF of 2477,8702 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 2477/197, 8702/741?
Answer: GCF of Numerators as per given numbers 2477/197, 8702/741 is
GCF of Numerators i.e. for 2477,8702 is 1
LCM of denominators i.e. for 197,741 is 145977.
Thus, GCF of Fractions is 1/145977.Finally, GCF of Fractions for 2477/197, 8702/741 is 1/145977.