GCF of 5097/175, 2821/7919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5097/175, 2821/7919 i.e 1/1385825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5097/175, 2821/7919.
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 5097/175,2821/7919?
Given fractions are 5097/175,2821/7919
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 5097/175,2821/7919, numerators are 5097,2821
Denominators are 175,7919
The GCF of 5097,2821 is 1 .
LCM of 175,7919 is 1385825.
The greatest common factor of 5097/175,2821/7919 = [GCF of 5097,2821]/[LCM of 175,7919]= 1/1385825
Therefore, the GCF of 5097/175,2821/7919 is 1/1385825.
To find the highest common factor of 5097,2821, we have to find the factors of both numbers and list the highest common factor.
The factors of 5097 are 1, 3, 1699, 5097
The factors of 2821 are 1, 7, 13, 31, 91, 217, 403, 2821
The HCF of 5097,2821 is 1.
Lets's calculate GCF of 5097,2821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5097,2821 By Matching Biggest Common Factor Method
Now, list down the factors of 5097
:1,3,1699,5097
Now, list down the factors of 2821
:1,7,13,31,91,217,403,2821
Greatest Common Factor
We found the factors 5097,2821 . The biggest common factor number is the GCF number.
So the greatest common factor 5097,2821 is 1.
Lets's calculate LCM of 175,7919
Given numbers has no common factors except 1. So, there LCM is their product i.e 1385825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1385825
Therefore, the GCF of Fractions 5097/175,2821/7919 is 1/1385825
Least Common Multiple of 175,7919 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 175,7919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,7919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,7919) x common factors =1 x 1 = 1
LCM(175,7919) = ( 175 × 7919 ) / 1
LCM(175,7919) = 1385825 / 1
LCM(175,7919) = 1385825
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FAQs on GCF of Fractions of 5097/175, 2821/7919
1. What is the HCF of 5097,2821?
The HCF of 5097,2821 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 5097/175, 2821/7919?
Answer: GCF of Numerators as per given numbers 5097/175, 2821/7919 is
GCF of Numerators i.e. for 5097,2821 is 1
LCM of denominators i.e. for 175,7919 is 1385825.
Thus, GCF of Fractions is 1/1385825.Finally, GCF of Fractions for 5097/175, 2821/7919 is 1/1385825.