GCF of 2917/839, 5757/5090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2917/839, 5757/5090 i.e 1/4270510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2917/839, 5757/5090.
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 2917/839,5757/5090?
Given fractions are 2917/839,5757/5090
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 2917/839,5757/5090, numerators are 2917,5757
Denominators are 839,5090
The GCF of 2917,5757 is 1 .
LCM of 839,5090 is 4270510.
The greatest common factor of 2917/839,5757/5090 = [GCF of 2917,5757]/[LCM of 839,5090]= 1/4270510
Therefore, the GCF of 2917/839,5757/5090 is 1/4270510.
To find the highest common factor of 2917,5757, we have to find the factors of both numbers and list the highest common factor.
The factors of 2917 are 1, 2917
The factors of 5757 are 1, 3, 19, 57, 101, 303, 1919, 5757
The HCF of 2917,5757 is 1.
Lets's calculate GCF of 2917,5757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2917,5757 By Matching Biggest Common Factor Method
Now, list down the factors of 2917
:1,2917
Now, list down the factors of 5757
:1,3,19,57,101,303,1919,5757
Greatest Common Factor
We found the factors 2917,5757 . The biggest common factor number is the GCF number.
So the greatest common factor 2917,5757 is 1.
Lets's calculate LCM of 839,5090
Given numbers has no common factors except 1. So, there LCM is their product i.e 4270510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4270510
Therefore, the GCF of Fractions 2917/839,5757/5090 is 1/4270510
Least Common Multiple of 839,5090 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 839,5090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,5090) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,5090) x common factors =1 x 1 = 1
LCM(839,5090) = ( 839 × 5090 ) / 1
LCM(839,5090) = 4270510 / 1
LCM(839,5090) = 4270510
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2917/839, 5757/5090
1. What is the HCF of 2917,5757?
The HCF of 2917,5757 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 2917/839, 5757/5090?
Answer: GCF of Numerators as per given numbers 2917/839, 5757/5090 is
GCF of Numerators i.e. for 2917,5757 is 1
LCM of denominators i.e. for 839,5090 is 4270510.
Thus, GCF of Fractions is 1/4270510.Finally, GCF of Fractions for 2917/839, 5757/5090 is 1/4270510.