GCF of 5362/857, 7717/3506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5362/857, 7717/3506 i.e 1/3004642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5362/857, 7717/3506.
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 5362/857,7717/3506?
Given fractions are 5362/857,7717/3506
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 5362/857,7717/3506, numerators are 5362,7717
Denominators are 857,3506
The GCF of 5362,7717 is 1 .
LCM of 857,3506 is 3004642.
The greatest common factor of 5362/857,7717/3506 = [GCF of 5362,7717]/[LCM of 857,3506]= 1/3004642
Therefore, the GCF of 5362/857,7717/3506 is 1/3004642.
To find the highest common factor of 5362,7717, we have to find the factors of both numbers and list the highest common factor.
The factors of 5362 are 1, 2, 7, 14, 383, 766, 2681, 5362
The factors of 7717 are 1, 7717
The HCF of 5362,7717 is 1.
Lets's calculate GCF of 5362,7717
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5362,7717 By Matching Biggest Common Factor Method
Now, list down the factors of 5362
:1,2,7,14,383,766,2681,5362
Now, list down the factors of 7717
:1,7717
Greatest Common Factor
We found the factors 5362,7717 . The biggest common factor number is the GCF number.
So the greatest common factor 5362,7717 is 1.
Lets's calculate LCM of 857,3506
Given numbers has no common factors except 1. So, there LCM is their product i.e 3004642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3004642
Therefore, the GCF of Fractions 5362/857,7717/3506 is 1/3004642
Least Common Multiple of 857,3506 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 857,3506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,3506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,3506) x common factors =1 x 1 = 1
LCM(857,3506) = ( 857 × 3506 ) / 1
LCM(857,3506) = 3004642 / 1
LCM(857,3506) = 3004642
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FAQs on GCF of Fractions of 5362/857, 7717/3506
1. What is the HCF of 5362,7717?
The HCF of 5362,7717 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 5362/857, 7717/3506?
Answer: GCF of Numerators as per given numbers 5362/857, 7717/3506 is
GCF of Numerators i.e. for 5362,7717 is 1
LCM of denominators i.e. for 857,3506 is 3004642.
Thus, GCF of Fractions is 1/3004642.Finally, GCF of Fractions for 5362/857, 7717/3506 is 1/3004642.