GCF of 6544/647, 1478/276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6544/647, 1478/276 i.e 2/178572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6544/647, 1478/276.
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 6544/647,1478/276?
Given fractions are 6544/647,1478/276
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 6544/647,1478/276, numerators are 6544,1478
Denominators are 647,276
The GCF of 6544,1478 is 2 .
LCM of 647,276 is 178572.
The greatest common factor of 6544/647,1478/276 = [GCF of 6544,1478]/[LCM of 647,276]= 2/178572
Therefore, the GCF of 6544/647,1478/276 is 2/178572.
To find the highest common factor of 6544,1478, we have to find the factors of both numbers and list the highest common factor.
The factors of 6544 are 1, 2, 4, 8, 16, 409, 818, 1636, 3272, 6544
The factors of 1478 are 1, 2, 739, 1478
The HCF of 6544,1478 is 2.
Lets's calculate GCF of 6544,1478
| 2 | 6544, 1478 |
| 3272, 739 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6544,1478 By Matching Biggest Common Factor Method
Now, list down the factors of 6544
:1,2,4,8,16,409,818,1636,3272,6544
Now, list down the factors of 1478
:1,2,739,1478
Greatest Common Factor
We found the factors 6544,1478 . The biggest common factor number is the GCF number.
So the greatest common factor 6544,1478 is 2.
Lets's calculate LCM of 647,276
Given numbers has no common factors except 1. So, there LCM is their product i.e 178572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/178572
Therefore, the GCF of Fractions 6544/647,1478/276 is 2/178572
Least Common Multiple of 647,276 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 647,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,276) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,276) x common factors =1 x 1 = 1
LCM(647,276) = ( 647 × 276 ) / 1
LCM(647,276) = 178572 / 1
LCM(647,276) = 178572
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6544/647, 1478/276
1. What is the HCF of 6544,1478?
The HCF of 6544,1478 is 2
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 6544/647, 1478/276?
Answer: GCF of Numerators as per given numbers 6544/647, 1478/276 is
GCF of Numerators i.e. for 6544,1478 is 2
LCM of denominators i.e. for 647,276 is 178572.
Thus, GCF of Fractions is 2/178572.Finally, GCF of Fractions for 6544/647, 1478/276 is 2/178572.