GCF of 6758/548, 5053/4775
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6758/548, 5053/4775 i.e 31/2616700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6758/548, 5053/4775.
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 6758/548,5053/4775?
Given fractions are 6758/548,5053/4775
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 6758/548,5053/4775, numerators are 6758,5053
Denominators are 548,4775
The GCF of 6758,5053 is 31 .
LCM of 548,4775 is 2616700.
The greatest common factor of 6758/548,5053/4775 = [GCF of 6758,5053]/[LCM of 548,4775]= 31/2616700
Therefore, the GCF of 6758/548,5053/4775 is 31/2616700.
To find the highest common factor of 6758,5053, we have to find the factors of both numbers and list the highest common factor.
The factors of 6758 are 1, 2, 31, 62, 109, 218, 3379, 6758
The factors of 5053 are 1, 31, 163, 5053
The HCF of 6758,5053 is 31.
Lets's calculate GCF of 6758,5053
| 31 | 6758, 5053 |
| 218, 163 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 6758,5053 By Matching Biggest Common Factor Method
Now, list down the factors of 6758
:1,2,31,62,109,218,3379,6758
Now, list down the factors of 5053
:1,31,163,5053
Greatest Common Factor
We found the factors 6758,5053 . The biggest common factor number is the GCF number.
So the greatest common factor 6758,5053 is 31.
Lets's calculate LCM of 548,4775
Given numbers has no common factors except 1. So, there LCM is their product i.e 2616700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/2616700
Therefore, the GCF of Fractions 6758/548,5053/4775 is 31/2616700
Least Common Multiple of 548,4775 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 548,4775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,4775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,4775) x common factors =1 x 1 = 1
LCM(548,4775) = ( 548 × 4775 ) / 1
LCM(548,4775) = 2616700 / 1
LCM(548,4775) = 2616700
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6758/548, 5053/4775
1. What is the HCF of 6758,5053?
The HCF of 6758,5053 is 31
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 6758/548, 5053/4775?
Answer: GCF of Numerators as per given numbers 6758/548, 5053/4775 is
GCF of Numerators i.e. for 6758,5053 is 31
LCM of denominators i.e. for 548,4775 is 2616700.
Thus, GCF of Fractions is 31/2616700.Finally, GCF of Fractions for 6758/548, 5053/4775 is 31/2616700.