GCF of 7775/893, 5343/1420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7775/893, 5343/1420 i.e 1/1268060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7775/893, 5343/1420.
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 7775/893,5343/1420?
Given fractions are 7775/893,5343/1420
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 7775/893,5343/1420, numerators are 7775,5343
Denominators are 893,1420
The GCF of 7775,5343 is 1 .
LCM of 893,1420 is 1268060.
The greatest common factor of 7775/893,5343/1420 = [GCF of 7775,5343]/[LCM of 893,1420]= 1/1268060
Therefore, the GCF of 7775/893,5343/1420 is 1/1268060.
To find the highest common factor of 7775,5343, we have to find the factors of both numbers and list the highest common factor.
The factors of 7775 are 1, 5, 25, 311, 1555, 7775
The factors of 5343 are 1, 3, 13, 39, 137, 411, 1781, 5343
The HCF of 7775,5343 is 1.
Lets's calculate GCF of 7775,5343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7775,5343 By Matching Biggest Common Factor Method
Now, list down the factors of 7775
:1,5,25,311,1555,7775
Now, list down the factors of 5343
:1,3,13,39,137,411,1781,5343
Greatest Common Factor
We found the factors 7775,5343 . The biggest common factor number is the GCF number.
So the greatest common factor 7775,5343 is 1.
Lets's calculate LCM of 893,1420
Given numbers has no common factors except 1. So, there LCM is their product i.e 1268060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1268060
Therefore, the GCF of Fractions 7775/893,5343/1420 is 1/1268060
Least Common Multiple of 893,1420 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 893,1420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,1420) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,1420) x common factors =1 x 1 = 1
LCM(893,1420) = ( 893 × 1420 ) / 1
LCM(893,1420) = 1268060 / 1
LCM(893,1420) = 1268060
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7775/893, 5343/1420
1. What is the HCF of 7775,5343?
The HCF of 7775,5343 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 7775/893, 5343/1420?
Answer: GCF of Numerators as per given numbers 7775/893, 5343/1420 is
GCF of Numerators i.e. for 7775,5343 is 1
LCM of denominators i.e. for 893,1420 is 1268060.
Thus, GCF of Fractions is 1/1268060.Finally, GCF of Fractions for 7775/893, 5343/1420 is 1/1268060.