GCF of 2888/460, 3128/1624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2888/460, 3128/1624 i.e 8/186760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2888/460, 3128/1624.
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 2888/460,3128/1624?
Given fractions are 2888/460,3128/1624
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 2888/460,3128/1624, numerators are 2888,3128
Denominators are 460,1624
The GCF of 2888,3128 is 8 .
LCM of 460,1624 is 186760.
The greatest common factor of 2888/460,3128/1624 = [GCF of 2888,3128]/[LCM of 460,1624]= 8/186760
Therefore, the GCF of 2888/460,3128/1624 is 8/186760.
To find the highest common factor of 2888,3128, we have to find the factors of both numbers and list the highest common factor.
The factors of 2888 are 1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444, 2888
The factors of 3128 are 1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128
The HCF of 2888,3128 is 8.
Lets's calculate GCF of 2888,3128
| 2 | 2888, 3128 |
| 2 | 1444, 1564 |
| 2 | 722, 782 |
| 361, 391 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2888,3128 By Matching Biggest Common Factor Method
Now, list down the factors of 2888
:1,2,4,8,19,38,76,152,361,722,1444,2888
Now, list down the factors of 3128
:1,2,4,8,17,23,34,46,68,92,136,184,391,782,1564,3128
Greatest Common Factor
We found the factors 2888,3128 . The biggest common factor number is the GCF number.
So the greatest common factor 2888,3128 is 8.
Lets's calculate LCM of 460,1624
| 2 | 460, 1624 |
| 2 | 230, 812 |
| 115, 406 |
∴ So the LCM of the given numbers is 2 x 2 x 115 x 406 = 186760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/186760
Therefore, the GCF of Fractions 2888/460,3128/1624 is 8/186760
Least Common Multiple of 460,1624 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 460,1624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,1624) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(460,1624) x common factors =4 x 1 = 4
LCM(460,1624) = ( 460 × 1624 ) / 4
LCM(460,1624) = 747040 / 4
LCM(460,1624) = 186760
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FAQs on GCF of Fractions of 2888/460, 3128/1624
1. What is the HCF of 2888,3128?
The HCF of 2888,3128 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 2888/460, 3128/1624?
Answer: GCF of Numerators as per given numbers 2888/460, 3128/1624 is
GCF of Numerators i.e. for 2888,3128 is 8
LCM of denominators i.e. for 460,1624 is 186760.
Thus, GCF of Fractions is 8/186760.Finally, GCF of Fractions for 2888/460, 3128/1624 is 8/186760.