GCF of 2177/498, 3761/6519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2177/498, 3761/6519 i.e 1/1082154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2177/498, 3761/6519.
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 2177/498,3761/6519?
Given fractions are 2177/498,3761/6519
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 2177/498,3761/6519, numerators are 2177,3761
Denominators are 498,6519
The GCF of 2177,3761 is 1 .
LCM of 498,6519 is 1082154.
The greatest common factor of 2177/498,3761/6519 = [GCF of 2177,3761]/[LCM of 498,6519]= 1/1082154
Therefore, the GCF of 2177/498,3761/6519 is 1/1082154.
To find the highest common factor of 2177,3761, we have to find the factors of both numbers and list the highest common factor.
The factors of 2177 are 1, 7, 311, 2177
The factors of 3761 are 1, 3761
The HCF of 2177,3761 is 1.
Lets's calculate GCF of 2177,3761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2177,3761 By Matching Biggest Common Factor Method
Now, list down the factors of 2177
:1,7,311,2177
Now, list down the factors of 3761
:1,3761
Greatest Common Factor
We found the factors 2177,3761 . The biggest common factor number is the GCF number.
So the greatest common factor 2177,3761 is 1.
Lets's calculate LCM of 498,6519
| 3 | 498, 6519 |
| 166, 2173 |
∴ So the LCM of the given numbers is 3 x 166 x 2173 = 1082154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1082154
Therefore, the GCF of Fractions 2177/498,3761/6519 is 1/1082154
Least Common Multiple of 498,6519 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 498,6519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,6519) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(498,6519) x common factors =3 x 1 = 3
LCM(498,6519) = ( 498 × 6519 ) / 3
LCM(498,6519) = 3246462 / 3
LCM(498,6519) = 1082154
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FAQs on GCF of Fractions of 2177/498, 3761/6519
1. What is the HCF of 2177,3761?
The HCF of 2177,3761 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 2177/498, 3761/6519?
Answer: GCF of Numerators as per given numbers 2177/498, 3761/6519 is
GCF of Numerators i.e. for 2177,3761 is 1
LCM of denominators i.e. for 498,6519 is 1082154.
Thus, GCF of Fractions is 1/1082154.Finally, GCF of Fractions for 2177/498, 3761/6519 is 1/1082154.