GCF of 7024/586, 3540/9768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7024/586, 3540/9768 i.e 4/2862024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7024/586, 3540/9768.
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 7024/586,3540/9768?
Given fractions are 7024/586,3540/9768
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 7024/586,3540/9768, numerators are 7024,3540
Denominators are 586,9768
The GCF of 7024,3540 is 4 .
LCM of 586,9768 is 2862024.
The greatest common factor of 7024/586,3540/9768 = [GCF of 7024,3540]/[LCM of 586,9768]= 4/2862024
Therefore, the GCF of 7024/586,3540/9768 is 4/2862024.
To find the highest common factor of 7024,3540, we have to find the factors of both numbers and list the highest common factor.
The factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024
The factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540
The HCF of 7024,3540 is 4.
Lets's calculate GCF of 7024,3540
| 2 | 7024, 3540 |
| 2 | 3512, 1770 |
| 1756, 885 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7024,3540 By Matching Biggest Common Factor Method
Now, list down the factors of 7024
:1,2,4,8,16,439,878,1756,3512,7024
Now, list down the factors of 3540
:1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540
Greatest Common Factor
We found the factors 7024,3540 . The biggest common factor number is the GCF number.
So the greatest common factor 7024,3540 is 4.
Lets's calculate LCM of 586,9768
| 2 | 586, 9768 |
| 293, 4884 |
∴ So the LCM of the given numbers is 2 x 293 x 4884 = 2862024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2862024
Therefore, the GCF of Fractions 7024/586,3540/9768 is 4/2862024
Least Common Multiple of 586,9768 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 586,9768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,9768) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,9768) x common factors =2 x 1 = 2
LCM(586,9768) = ( 586 × 9768 ) / 2
LCM(586,9768) = 5724048 / 2
LCM(586,9768) = 2862024
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FAQs on GCF of Fractions of 7024/586, 3540/9768
1. What is the HCF of 7024,3540?
The HCF of 7024,3540 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 7024/586, 3540/9768?
Answer: GCF of Numerators as per given numbers 7024/586, 3540/9768 is
GCF of Numerators i.e. for 7024,3540 is 4
LCM of denominators i.e. for 586,9768 is 2862024.
Thus, GCF of Fractions is 4/2862024.Finally, GCF of Fractions for 7024/586, 3540/9768 is 4/2862024.