GCF of 2587/168, 1748/584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2587/168, 1748/584 i.e 1/12264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2587/168, 1748/584.
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 2587/168,1748/584?
Given fractions are 2587/168,1748/584
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 2587/168,1748/584, numerators are 2587,1748
Denominators are 168,584
The GCF of 2587,1748 is 1 .
LCM of 168,584 is 12264.
The greatest common factor of 2587/168,1748/584 = [GCF of 2587,1748]/[LCM of 168,584]= 1/12264
Therefore, the GCF of 2587/168,1748/584 is 1/12264.
To find the highest common factor of 2587,1748, we have to find the factors of both numbers and list the highest common factor.
The factors of 2587 are 1, 13, 199, 2587
The factors of 1748 are 1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748
The HCF of 2587,1748 is 1.
Lets's calculate GCF of 2587,1748
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2587,1748 By Matching Biggest Common Factor Method
Now, list down the factors of 2587
:1,13,199,2587
Now, list down the factors of 1748
:1,2,4,19,23,38,46,76,92,437,874,1748
Greatest Common Factor
We found the factors 2587,1748 . The biggest common factor number is the GCF number.
So the greatest common factor 2587,1748 is 1.
Lets's calculate LCM of 168,584
| 2 | 168, 584 |
| 2 | 84, 292 |
| 2 | 42, 146 |
| 21, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 21 x 73 = 12264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12264
Therefore, the GCF of Fractions 2587/168,1748/584 is 1/12264
Least Common Multiple of 168,584 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 168,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,584) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(168,584) x common factors =8 x 1 = 8
LCM(168,584) = ( 168 × 584 ) / 8
LCM(168,584) = 98112 / 8
LCM(168,584) = 12264
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FAQs on GCF of Fractions of 2587/168, 1748/584
1. What is the HCF of 2587,1748?
The HCF of 2587,1748 is 1
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 2587/168, 1748/584?
Answer: GCF of Numerators as per given numbers 2587/168, 1748/584 is
GCF of Numerators i.e. for 2587,1748 is 1
LCM of denominators i.e. for 168,584 is 12264.
Thus, GCF of Fractions is 1/12264.Finally, GCF of Fractions for 2587/168, 1748/584 is 1/12264.