GCF of 2658/304, 2688/5617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2658/304, 2688/5617 i.e 6/1707568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2658/304, 2688/5617.
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 2658/304,2688/5617?
Given fractions are 2658/304,2688/5617
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 2658/304,2688/5617, numerators are 2658,2688
Denominators are 304,5617
The GCF of 2658,2688 is 6 .
LCM of 304,5617 is 1707568.
The greatest common factor of 2658/304,2688/5617 = [GCF of 2658,2688]/[LCM of 304,5617]= 6/1707568
Therefore, the GCF of 2658/304,2688/5617 is 6/1707568.
To find the highest common factor of 2658,2688, we have to find the factors of both numbers and list the highest common factor.
The factors of 2658 are 1, 2, 3, 6, 443, 886, 1329, 2658
The factors of 2688 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 336, 384, 448, 672, 896, 1344, 2688
The HCF of 2658,2688 is 6.
Lets's calculate GCF of 2658,2688
| 2 | 2658, 2688 |
| 3 | 1329, 1344 |
| 443, 448 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2658,2688 By Matching Biggest Common Factor Method
Now, list down the factors of 2658
:1,2,3,6,443,886,1329,2658
Now, list down the factors of 2688
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,336,384,448,672,896,1344,2688
Greatest Common Factor
We found the factors 2658,2688 . The biggest common factor number is the GCF number.
So the greatest common factor 2658,2688 is 6.
Lets's calculate LCM of 304,5617
Given numbers has no common factors except 1. So, there LCM is their product i.e 1707568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1707568
Therefore, the GCF of Fractions 2658/304,2688/5617 is 6/1707568
Least Common Multiple of 304,5617 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 304,5617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,5617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,5617) x common factors =1 x 1 = 1
LCM(304,5617) = ( 304 × 5617 ) / 1
LCM(304,5617) = 1707568 / 1
LCM(304,5617) = 1707568
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FAQs on GCF of Fractions of 2658/304, 2688/5617
1. What is the HCF of 2658,2688?
The HCF of 2658,2688 is 6
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 2658/304, 2688/5617?
Answer: GCF of Numerators as per given numbers 2658/304, 2688/5617 is
GCF of Numerators i.e. for 2658,2688 is 6
LCM of denominators i.e. for 304,5617 is 1707568.
Thus, GCF of Fractions is 6/1707568.Finally, GCF of Fractions for 2658/304, 2688/5617 is 6/1707568.