GCF of 1028/680, 9262/4576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1028/680, 9262/4576 i.e 2/388960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1028/680, 9262/4576.
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 1028/680,9262/4576?
Given fractions are 1028/680,9262/4576
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 1028/680,9262/4576, numerators are 1028,9262
Denominators are 680,4576
The GCF of 1028,9262 is 2 .
LCM of 680,4576 is 388960.
The greatest common factor of 1028/680,9262/4576 = [GCF of 1028,9262]/[LCM of 680,4576]= 2/388960
Therefore, the GCF of 1028/680,9262/4576 is 2/388960.
To find the highest common factor of 1028,9262, we have to find the factors of both numbers and list the highest common factor.
The factors of 1028 are 1, 2, 4, 257, 514, 1028
The factors of 9262 are 1, 2, 11, 22, 421, 842, 4631, 9262
The HCF of 1028,9262 is 2.
Lets's calculate GCF of 1028,9262
| 2 | 1028, 9262 |
| 514, 4631 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1028,9262 By Matching Biggest Common Factor Method
Now, list down the factors of 1028
:1,2,4,257,514,1028
Now, list down the factors of 9262
:1,2,11,22,421,842,4631,9262
Greatest Common Factor
We found the factors 1028,9262 . The biggest common factor number is the GCF number.
So the greatest common factor 1028,9262 is 2.
Lets's calculate LCM of 680,4576
| 2 | 680, 4576 |
| 2 | 340, 2288 |
| 2 | 170, 1144 |
| 85, 572 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 85 x 572 = 388960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/388960
Therefore, the GCF of Fractions 1028/680,9262/4576 is 2/388960
Least Common Multiple of 680,4576 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 680,4576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,4576) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(680,4576) x common factors =8 x 1 = 8
LCM(680,4576) = ( 680 × 4576 ) / 8
LCM(680,4576) = 3111680 / 8
LCM(680,4576) = 388960
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FAQs on GCF of Fractions of 1028/680, 9262/4576
1. What is the HCF of 1028,9262?
The HCF of 1028,9262 is 2
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 1028/680, 9262/4576?
Answer: GCF of Numerators as per given numbers 1028/680, 9262/4576 is
GCF of Numerators i.e. for 1028,9262 is 2
LCM of denominators i.e. for 680,4576 is 388960.
Thus, GCF of Fractions is 2/388960.Finally, GCF of Fractions for 1028/680, 9262/4576 is 2/388960.