GCF of 7048/181, 2324/5738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7048/181, 2324/5738 i.e 4/1038578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7048/181, 2324/5738.
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 7048/181,2324/5738?
Given fractions are 7048/181,2324/5738
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 7048/181,2324/5738, numerators are 7048,2324
Denominators are 181,5738
The GCF of 7048,2324 is 4 .
LCM of 181,5738 is 1038578.
The greatest common factor of 7048/181,2324/5738 = [GCF of 7048,2324]/[LCM of 181,5738]= 4/1038578
Therefore, the GCF of 7048/181,2324/5738 is 4/1038578.
To find the highest common factor of 7048,2324, 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 2324 are 1, 2, 4, 7, 14, 28, 83, 166, 332, 581, 1162, 2324
The HCF of 7048,2324 is 4.
Lets's calculate GCF of 7048,2324
| 2 | 7048, 2324 |
| 2 | 3524, 1162 |
| 1762, 581 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7048,2324 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 2324
:1,2,4,7,14,28,83,166,332,581,1162,2324
Greatest Common Factor
We found the factors 7048,2324 . The biggest common factor number is the GCF number.
So the greatest common factor 7048,2324 is 4.
Lets's calculate LCM of 181,5738
Given numbers has no common factors except 1. So, there LCM is their product i.e 1038578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1038578
Therefore, the GCF of Fractions 7048/181,2324/5738 is 4/1038578
Least Common Multiple of 181,5738 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 181,5738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,5738) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,5738) x common factors =1 x 1 = 1
LCM(181,5738) = ( 181 × 5738 ) / 1
LCM(181,5738) = 1038578 / 1
LCM(181,5738) = 1038578
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FAQs on GCF of Fractions of 7048/181, 2324/5738
1. What is the HCF of 7048,2324?
The HCF of 7048,2324 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 7048/181, 2324/5738?
Answer: GCF of Numerators as per given numbers 7048/181, 2324/5738 is
GCF of Numerators i.e. for 7048,2324 is 4
LCM of denominators i.e. for 181,5738 is 1038578.
Thus, GCF of Fractions is 4/1038578.Finally, GCF of Fractions for 7048/181, 2324/5738 is 4/1038578.