GCF of 5297/598, 3450/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5297/598, 3450/114 i.e 1/34086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5297/598, 3450/114.
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 5297/598,3450/114?
Given fractions are 5297/598,3450/114
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 5297/598,3450/114, numerators are 5297,3450
Denominators are 598,114
The GCF of 5297,3450 is 1 .
LCM of 598,114 is 34086.
The greatest common factor of 5297/598,3450/114 = [GCF of 5297,3450]/[LCM of 598,114]= 1/34086
Therefore, the GCF of 5297/598,3450/114 is 1/34086.
To find the highest common factor of 5297,3450, we have to find the factors of both numbers and list the highest common factor.
The factors of 5297 are 1, 5297
The factors of 3450 are 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450
The HCF of 5297,3450 is 1.
Lets's calculate GCF of 5297,3450
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5297,3450 By Matching Biggest Common Factor Method
Now, list down the factors of 5297
:1,5297
Now, list down the factors of 3450
:1,2,3,5,6,10,15,23,25,30,46,50,69,75,115,138,150,230,345,575,690,1150,1725,3450
Greatest Common Factor
We found the factors 5297,3450 . The biggest common factor number is the GCF number.
So the greatest common factor 5297,3450 is 1.
Lets's calculate LCM of 598,114
| 2 | 598, 114 |
| 299, 57 |
∴ So the LCM of the given numbers is 2 x 299 x 57 = 34086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34086
Therefore, the GCF of Fractions 5297/598,3450/114 is 1/34086
Least Common Multiple of 598,114 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 598,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,114) x common factors =2 x 1 = 2
LCM(598,114) = ( 598 × 114 ) / 2
LCM(598,114) = 68172 / 2
LCM(598,114) = 34086
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FAQs on GCF of Fractions of 5297/598, 3450/114
1. What is the HCF of 5297,3450?
The HCF of 5297,3450 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 5297/598, 3450/114?
Answer: GCF of Numerators as per given numbers 5297/598, 3450/114 is
GCF of Numerators i.e. for 5297,3450 is 1
LCM of denominators i.e. for 598,114 is 34086.
Thus, GCF of Fractions is 1/34086.Finally, GCF of Fractions for 5297/598, 3450/114 is 1/34086.