GCF of 6932/291, 4307/4470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6932/291, 4307/4470 i.e 1/433590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6932/291, 4307/4470.
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 6932/291,4307/4470?
Given fractions are 6932/291,4307/4470
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 6932/291,4307/4470, numerators are 6932,4307
Denominators are 291,4470
The GCF of 6932,4307 is 1 .
LCM of 291,4470 is 433590.
The greatest common factor of 6932/291,4307/4470 = [GCF of 6932,4307]/[LCM of 291,4470]= 1/433590
Therefore, the GCF of 6932/291,4307/4470 is 1/433590.
To find the highest common factor of 6932,4307, we have to find the factors of both numbers and list the highest common factor.
The factors of 6932 are 1, 2, 4, 1733, 3466, 6932
The factors of 4307 are 1, 59, 73, 4307
The HCF of 6932,4307 is 1.
Lets's calculate GCF of 6932,4307
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6932,4307 By Matching Biggest Common Factor Method
Now, list down the factors of 6932
:1,2,4,1733,3466,6932
Now, list down the factors of 4307
:1,59,73,4307
Greatest Common Factor
We found the factors 6932,4307 . The biggest common factor number is the GCF number.
So the greatest common factor 6932,4307 is 1.
Lets's calculate LCM of 291,4470
| 3 | 291, 4470 |
| 97, 1490 |
∴ So the LCM of the given numbers is 3 x 97 x 1490 = 433590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433590
Therefore, the GCF of Fractions 6932/291,4307/4470 is 1/433590
Least Common Multiple of 291,4470 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 291,4470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,4470) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(291,4470) x common factors =3 x 1 = 3
LCM(291,4470) = ( 291 × 4470 ) / 3
LCM(291,4470) = 1300770 / 3
LCM(291,4470) = 433590
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FAQs on GCF of Fractions of 6932/291, 4307/4470
1. What is the HCF of 6932,4307?
The HCF of 6932,4307 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 6932/291, 4307/4470?
Answer: GCF of Numerators as per given numbers 6932/291, 4307/4470 is
GCF of Numerators i.e. for 6932,4307 is 1
LCM of denominators i.e. for 291,4470 is 433590.
Thus, GCF of Fractions is 1/433590.Finally, GCF of Fractions for 6932/291, 4307/4470 is 1/433590.