GCF of 6759/825, 5242/3921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6759/825, 5242/3921 i.e 1/1078275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6759/825, 5242/3921.
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 6759/825,5242/3921?
Given fractions are 6759/825,5242/3921
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 6759/825,5242/3921, numerators are 6759,5242
Denominators are 825,3921
The GCF of 6759,5242 is 1 .
LCM of 825,3921 is 1078275.
The greatest common factor of 6759/825,5242/3921 = [GCF of 6759,5242]/[LCM of 825,3921]= 1/1078275
Therefore, the GCF of 6759/825,5242/3921 is 1/1078275.
To find the highest common factor of 6759,5242, we have to find the factors of both numbers and list the highest common factor.
The factors of 6759 are 1, 3, 9, 751, 2253, 6759
The factors of 5242 are 1, 2, 2621, 5242
The HCF of 6759,5242 is 1.
Lets's calculate GCF of 6759,5242
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6759,5242 By Matching Biggest Common Factor Method
Now, list down the factors of 6759
:1,3,9,751,2253,6759
Now, list down the factors of 5242
:1,2,2621,5242
Greatest Common Factor
We found the factors 6759,5242 . The biggest common factor number is the GCF number.
So the greatest common factor 6759,5242 is 1.
Lets's calculate LCM of 825,3921
| 3 | 825, 3921 |
| 275, 1307 |
∴ So the LCM of the given numbers is 3 x 275 x 1307 = 1078275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1078275
Therefore, the GCF of Fractions 6759/825,5242/3921 is 1/1078275
Least Common Multiple of 825,3921 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 825,3921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,3921) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(825,3921) x common factors =3 x 1 = 3
LCM(825,3921) = ( 825 × 3921 ) / 3
LCM(825,3921) = 3234825 / 3
LCM(825,3921) = 1078275
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FAQs on GCF of Fractions of 6759/825, 5242/3921
1. What is the HCF of 6759,5242?
The HCF of 6759,5242 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 6759/825, 5242/3921?
Answer: GCF of Numerators as per given numbers 6759/825, 5242/3921 is
GCF of Numerators i.e. for 6759,5242 is 1
LCM of denominators i.e. for 825,3921 is 1078275.
Thus, GCF of Fractions is 1/1078275.Finally, GCF of Fractions for 6759/825, 5242/3921 is 1/1078275.