GCF of 7277/217, 3049/8980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7277/217, 3049/8980 i.e 1/1948660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7277/217, 3049/8980.
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 7277/217,3049/8980?
Given fractions are 7277/217,3049/8980
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 7277/217,3049/8980, numerators are 7277,3049
Denominators are 217,8980
The GCF of 7277,3049 is 1 .
LCM of 217,8980 is 1948660.
The greatest common factor of 7277/217,3049/8980 = [GCF of 7277,3049]/[LCM of 217,8980]= 1/1948660
Therefore, the GCF of 7277/217,3049/8980 is 1/1948660.
To find the highest common factor of 7277,3049, we have to find the factors of both numbers and list the highest common factor.
The factors of 7277 are 1, 19, 383, 7277
The factors of 3049 are 1, 3049
The HCF of 7277,3049 is 1.
Lets's calculate GCF of 7277,3049
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7277,3049 By Matching Biggest Common Factor Method
Now, list down the factors of 7277
:1,19,383,7277
Now, list down the factors of 3049
:1,3049
Greatest Common Factor
We found the factors 7277,3049 . The biggest common factor number is the GCF number.
So the greatest common factor 7277,3049 is 1.
Lets's calculate LCM of 217,8980
Given numbers has no common factors except 1. So, there LCM is their product i.e 1948660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1948660
Therefore, the GCF of Fractions 7277/217,3049/8980 is 1/1948660
Least Common Multiple of 217,8980 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 217,8980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,8980) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,8980) x common factors =1 x 1 = 1
LCM(217,8980) = ( 217 × 8980 ) / 1
LCM(217,8980) = 1948660 / 1
LCM(217,8980) = 1948660
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7277/217, 3049/8980
1. What is the HCF of 7277,3049?
The HCF of 7277,3049 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 7277/217, 3049/8980?
Answer: GCF of Numerators as per given numbers 7277/217, 3049/8980 is
GCF of Numerators i.e. for 7277,3049 is 1
LCM of denominators i.e. for 217,8980 is 1948660.
Thus, GCF of Fractions is 1/1948660.Finally, GCF of Fractions for 7277/217, 3049/8980 is 1/1948660.