GCF of 7048/317, 1304/1472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7048/317, 1304/1472 i.e 8/466624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7048/317, 1304/1472.
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 7048/317,1304/1472?
Given fractions are 7048/317,1304/1472
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 7048/317,1304/1472, numerators are 7048,1304
Denominators are 317,1472
The GCF of 7048,1304 is 8 .
LCM of 317,1472 is 466624.
The greatest common factor of 7048/317,1304/1472 = [GCF of 7048,1304]/[LCM of 317,1472]= 8/466624
Therefore, the GCF of 7048/317,1304/1472 is 8/466624.
To find the highest common factor of 7048,1304, 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 1304 are 1, 2, 4, 8, 163, 326, 652, 1304
The HCF of 7048,1304 is 8.
Lets's calculate GCF of 7048,1304
| 2 | 7048, 1304 |
| 2 | 3524, 652 |
| 2 | 1762, 326 |
| 881, 163 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7048,1304 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 1304
:1,2,4,8,163,326,652,1304
Greatest Common Factor
We found the factors 7048,1304 . The biggest common factor number is the GCF number.
So the greatest common factor 7048,1304 is 8.
Lets's calculate LCM of 317,1472
Given numbers has no common factors except 1. So, there LCM is their product i.e 466624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/466624
Therefore, the GCF of Fractions 7048/317,1304/1472 is 8/466624
Least Common Multiple of 317,1472 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 317,1472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,1472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,1472) x common factors =1 x 1 = 1
LCM(317,1472) = ( 317 × 1472 ) / 1
LCM(317,1472) = 466624 / 1
LCM(317,1472) = 466624
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FAQs on GCF of Fractions of 7048/317, 1304/1472
1. What is the HCF of 7048,1304?
The HCF of 7048,1304 is 8
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 7048/317, 1304/1472?
Answer: GCF of Numerators as per given numbers 7048/317, 1304/1472 is
GCF of Numerators i.e. for 7048,1304 is 8
LCM of denominators i.e. for 317,1472 is 466624.
Thus, GCF of Fractions is 8/466624.Finally, GCF of Fractions for 7048/317, 1304/1472 is 8/466624.