GCF of 3928/235, 6757/290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3928/235, 6757/290 i.e 1/13630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3928/235, 6757/290.
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 3928/235,6757/290?
Given fractions are 3928/235,6757/290
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 3928/235,6757/290, numerators are 3928,6757
Denominators are 235,290
The GCF of 3928,6757 is 1 .
LCM of 235,290 is 13630.
The greatest common factor of 3928/235,6757/290 = [GCF of 3928,6757]/[LCM of 235,290]= 1/13630
Therefore, the GCF of 3928/235,6757/290 is 1/13630.
To find the highest common factor of 3928,6757, we have to find the factors of both numbers and list the highest common factor.
The factors of 3928 are 1, 2, 4, 8, 491, 982, 1964, 3928
The factors of 6757 are 1, 29, 233, 6757
The HCF of 3928,6757 is 1.
Lets's calculate GCF of 3928,6757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3928,6757 By Matching Biggest Common Factor Method
Now, list down the factors of 3928
:1,2,4,8,491,982,1964,3928
Now, list down the factors of 6757
:1,29,233,6757
Greatest Common Factor
We found the factors 3928,6757 . The biggest common factor number is the GCF number.
So the greatest common factor 3928,6757 is 1.
Lets's calculate LCM of 235,290
| 5 | 235, 290 |
| 47, 58 |
∴ So the LCM of the given numbers is 5 x 47 x 58 = 13630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13630
Therefore, the GCF of Fractions 3928/235,6757/290 is 1/13630
Least Common Multiple of 235,290 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 235,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,290) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(235,290) x common factors =5 x 1 = 5
LCM(235,290) = ( 235 × 290 ) / 5
LCM(235,290) = 68150 / 5
LCM(235,290) = 13630
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FAQs on GCF of Fractions of 3928/235, 6757/290
1. What is the HCF of 3928,6757?
The HCF of 3928,6757 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 3928/235, 6757/290?
Answer: GCF of Numerators as per given numbers 3928/235, 6757/290 is
GCF of Numerators i.e. for 3928,6757 is 1
LCM of denominators i.e. for 235,290 is 13630.
Thus, GCF of Fractions is 1/13630.Finally, GCF of Fractions for 3928/235, 6757/290 is 1/13630.