GCF of 2655/680, 5351/7843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2655/680, 5351/7843 i.e 1/5333240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2655/680, 5351/7843.
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 2655/680,5351/7843?
Given fractions are 2655/680,5351/7843
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 2655/680,5351/7843, numerators are 2655,5351
Denominators are 680,7843
The GCF of 2655,5351 is 1 .
LCM of 680,7843 is 5333240.
The greatest common factor of 2655/680,5351/7843 = [GCF of 2655,5351]/[LCM of 680,7843]= 1/5333240
Therefore, the GCF of 2655/680,5351/7843 is 1/5333240.
To find the highest common factor of 2655,5351, we have to find the factors of both numbers and list the highest common factor.
The factors of 2655 are 1, 3, 5, 9, 15, 45, 59, 177, 295, 531, 885, 2655
The factors of 5351 are 1, 5351
The HCF of 2655,5351 is 1.
Lets's calculate GCF of 2655,5351
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2655,5351 By Matching Biggest Common Factor Method
Now, list down the factors of 2655
:1,3,5,9,15,45,59,177,295,531,885,2655
Now, list down the factors of 5351
:1,5351
Greatest Common Factor
We found the factors 2655,5351 . The biggest common factor number is the GCF number.
So the greatest common factor 2655,5351 is 1.
Lets's calculate LCM of 680,7843
Given numbers has no common factors except 1. So, there LCM is their product i.e 5333240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5333240
Therefore, the GCF of Fractions 2655/680,5351/7843 is 1/5333240
Least Common Multiple of 680,7843 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 680,7843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,7843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(680,7843) x common factors =1 x 1 = 1
LCM(680,7843) = ( 680 × 7843 ) / 1
LCM(680,7843) = 5333240 / 1
LCM(680,7843) = 5333240
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2655/680, 5351/7843
1. What is the HCF of 2655,5351?
The HCF of 2655,5351 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 2655/680, 5351/7843?
Answer: GCF of Numerators as per given numbers 2655/680, 5351/7843 is
GCF of Numerators i.e. for 2655,5351 is 1
LCM of denominators i.e. for 680,7843 is 5333240.
Thus, GCF of Fractions is 1/5333240.Finally, GCF of Fractions for 2655/680, 5351/7843 is 1/5333240.