GCF of 7048/333, 9932/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7048/333, 9932/767 i.e 4/255411 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7048/333, 9932/767.
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 7048/333,9932/767?
Given fractions are 7048/333,9932/767
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 7048/333,9932/767, numerators are 7048,9932
Denominators are 333,767
The GCF of 7048,9932 is 4 .
LCM of 333,767 is 255411.
The greatest common factor of 7048/333,9932/767 = [GCF of 7048,9932]/[LCM of 333,767]= 4/255411
Therefore, the GCF of 7048/333,9932/767 is 4/255411.
To find the highest common factor of 7048,9932, we have to find the factors of both numbers and list the highest common factor.
The factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048
The factors of 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932
The HCF of 7048,9932 is 4.
Lets's calculate GCF of 7048,9932
| 2 | 7048, 9932 |
| 2 | 3524, 4966 |
| 1762, 2483 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7048,9932 By Matching Biggest Common Factor Method
Now, list down the factors of 7048
:1,2,4,8,881,1762,3524,7048
Now, list down the factors of 9932
:1,2,4,13,26,52,191,382,764,2483,4966,9932
Greatest Common Factor
We found the factors 7048,9932 . The biggest common factor number is the GCF number.
So the greatest common factor 7048,9932 is 4.
Lets's calculate LCM of 333,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 255411
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/255411
Therefore, the GCF of Fractions 7048/333,9932/767 is 4/255411
Least Common Multiple of 333,767 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 333,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(333,767) x common factors =1 x 1 = 1
LCM(333,767) = ( 333 × 767 ) / 1
LCM(333,767) = 255411 / 1
LCM(333,767) = 255411
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7048/333, 9932/767
1. What is the HCF of 7048,9932?
The HCF of 7048,9932 is 4
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 7048/333, 9932/767?
Answer: GCF of Numerators as per given numbers 7048/333, 9932/767 is
GCF of Numerators i.e. for 7048,9932 is 4
LCM of denominators i.e. for 333,767 is 255411.
Thus, GCF of Fractions is 4/255411.Finally, GCF of Fractions for 7048/333, 9932/767 is 4/255411.