GCF of 6824/297, 3447/130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6824/297, 3447/130 i.e 1/38610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6824/297, 3447/130.
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 6824/297,3447/130?
Given fractions are 6824/297,3447/130
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 6824/297,3447/130, numerators are 6824,3447
Denominators are 297,130
The GCF of 6824,3447 is 1 .
LCM of 297,130 is 38610.
The greatest common factor of 6824/297,3447/130 = [GCF of 6824,3447]/[LCM of 297,130]= 1/38610
Therefore, the GCF of 6824/297,3447/130 is 1/38610.
To find the highest common factor of 6824,3447, we have to find the factors of both numbers and list the highest common factor.
The factors of 6824 are 1, 2, 4, 8, 853, 1706, 3412, 6824
The factors of 3447 are 1, 3, 9, 383, 1149, 3447
The HCF of 6824,3447 is 1.
Lets's calculate GCF of 6824,3447
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6824,3447 By Matching Biggest Common Factor Method
Now, list down the factors of 6824
:1,2,4,8,853,1706,3412,6824
Now, list down the factors of 3447
:1,3,9,383,1149,3447
Greatest Common Factor
We found the factors 6824,3447 . The biggest common factor number is the GCF number.
So the greatest common factor 6824,3447 is 1.
Lets's calculate LCM of 297,130
Given numbers has no common factors except 1. So, there LCM is their product i.e 38610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38610
Therefore, the GCF of Fractions 6824/297,3447/130 is 1/38610
Least Common Multiple of 297,130 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 297,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(297,130) x common factors =1 x 1 = 1
LCM(297,130) = ( 297 × 130 ) / 1
LCM(297,130) = 38610 / 1
LCM(297,130) = 38610
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FAQs on GCF of Fractions of 6824/297, 3447/130
1. What is the HCF of 6824,3447?
The HCF of 6824,3447 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 6824/297, 3447/130?
Answer: GCF of Numerators as per given numbers 6824/297, 3447/130 is
GCF of Numerators i.e. for 6824,3447 is 1
LCM of denominators i.e. for 297,130 is 38610.
Thus, GCF of Fractions is 1/38610.Finally, GCF of Fractions for 6824/297, 3447/130 is 1/38610.