GCF of 7028/583, 1460/7320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7028/583, 1460/7320 i.e 4/4267560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7028/583, 1460/7320.
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 7028/583,1460/7320?
Given fractions are 7028/583,1460/7320
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 7028/583,1460/7320, numerators are 7028,1460
Denominators are 583,7320
The GCF of 7028,1460 is 4 .
LCM of 583,7320 is 4267560.
The greatest common factor of 7028/583,1460/7320 = [GCF of 7028,1460]/[LCM of 583,7320]= 4/4267560
Therefore, the GCF of 7028/583,1460/7320 is 4/4267560.
To find the highest common factor of 7028,1460, we have to find the factors of both numbers and list the highest common factor.
The factors of 7028 are 1, 2, 4, 7, 14, 28, 251, 502, 1004, 1757, 3514, 7028
The factors of 1460 are 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460
The HCF of 7028,1460 is 4.
Lets's calculate GCF of 7028,1460
| 2 | 7028, 1460 |
| 2 | 3514, 730 |
| 1757, 365 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7028,1460 By Matching Biggest Common Factor Method
Now, list down the factors of 7028
:1,2,4,7,14,28,251,502,1004,1757,3514,7028
Now, list down the factors of 1460
:1,2,4,5,10,20,73,146,292,365,730,1460
Greatest Common Factor
We found the factors 7028,1460 . The biggest common factor number is the GCF number.
So the greatest common factor 7028,1460 is 4.
Lets's calculate LCM of 583,7320
Given numbers has no common factors except 1. So, there LCM is their product i.e 4267560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4267560
Therefore, the GCF of Fractions 7028/583,1460/7320 is 4/4267560
Least Common Multiple of 583,7320 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 583,7320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,7320) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,7320) x common factors =1 x 1 = 1
LCM(583,7320) = ( 583 × 7320 ) / 1
LCM(583,7320) = 4267560 / 1
LCM(583,7320) = 4267560
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FAQs on GCF of Fractions of 7028/583, 1460/7320
1. What is the HCF of 7028,1460?
The HCF of 7028,1460 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 7028/583, 1460/7320?
Answer: GCF of Numerators as per given numbers 7028/583, 1460/7320 is
GCF of Numerators i.e. for 7028,1460 is 4
LCM of denominators i.e. for 583,7320 is 4267560.
Thus, GCF of Fractions is 4/4267560.Finally, GCF of Fractions for 7028/583, 1460/7320 is 4/4267560.