GCF of 6757/557, 3495/6958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6757/557, 3495/6958 i.e 233/3875606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6757/557, 3495/6958.
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 6757/557,3495/6958?
Given fractions are 6757/557,3495/6958
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 6757/557,3495/6958, numerators are 6757,3495
Denominators are 557,6958
The GCF of 6757,3495 is 233 .
LCM of 557,6958 is 3875606.
The greatest common factor of 6757/557,3495/6958 = [GCF of 6757,3495]/[LCM of 557,6958]= 233/3875606
Therefore, the GCF of 6757/557,3495/6958 is 233/3875606.
To find the highest common factor of 6757,3495, we have to find the factors of both numbers and list the highest common factor.
The factors of 6757 are 1, 29, 233, 6757
The factors of 3495 are 1, 3, 5, 15, 233, 699, 1165, 3495
The HCF of 6757,3495 is 233.
Lets's calculate GCF of 6757,3495
| 233 | 6757, 3495 |
| 29, 15 |
∴ So the GCF of the given numbers is 233 = 233
Greatest Common Factor of 6757,3495 By Matching Biggest Common Factor Method
Now, list down the factors of 6757
:1,29,233,6757
Now, list down the factors of 3495
:1,3,5,15,233,699,1165,3495
Greatest Common Factor
We found the factors 6757,3495 . The biggest common factor number is the GCF number.
So the greatest common factor 6757,3495 is 233.
Lets's calculate LCM of 557,6958
Given numbers has no common factors except 1. So, there LCM is their product i.e 3875606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 233/3875606
Therefore, the GCF of Fractions 6757/557,3495/6958 is 233/3875606
Least Common Multiple of 557,6958 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 557,6958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,6958) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,6958) x common factors =1 x 1 = 1
LCM(557,6958) = ( 557 × 6958 ) / 1
LCM(557,6958) = 3875606 / 1
LCM(557,6958) = 3875606
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FAQs on GCF of Fractions of 6757/557, 3495/6958
1. What is the HCF of 6757,3495?
The HCF of 6757,3495 is 233
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 6757/557, 3495/6958?
Answer: GCF of Numerators as per given numbers 6757/557, 3495/6958 is
GCF of Numerators i.e. for 6757,3495 is 233
LCM of denominators i.e. for 557,6958 is 3875606.
Thus, GCF of Fractions is 233/3875606.Finally, GCF of Fractions for 6757/557, 3495/6958 is 233/3875606.