GCF of 2688/220, 5089/4937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2688/220, 5089/4937 i.e 7/1086140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2688/220, 5089/4937.
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 2688/220,5089/4937?
Given fractions are 2688/220,5089/4937
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 2688/220,5089/4937, numerators are 2688,5089
Denominators are 220,4937
The GCF of 2688,5089 is 7 .
LCM of 220,4937 is 1086140.
The greatest common factor of 2688/220,5089/4937 = [GCF of 2688,5089]/[LCM of 220,4937]= 7/1086140
Therefore, the GCF of 2688/220,5089/4937 is 7/1086140.
To find the highest common factor of 2688,5089, we have to find the factors of both numbers and list the highest common factor.
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 factors of 5089 are 1, 7, 727, 5089
The HCF of 2688,5089 is 7.
Lets's calculate GCF of 2688,5089
| 7 | 2688, 5089 |
| 384, 727 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2688,5089 By Matching Biggest Common Factor Method
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
Now, list down the factors of 5089
:1,7,727,5089
Greatest Common Factor
We found the factors 2688,5089 . The biggest common factor number is the GCF number.
So the greatest common factor 2688,5089 is 7.
Lets's calculate LCM of 220,4937
Given numbers has no common factors except 1. So, there LCM is their product i.e 1086140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1086140
Therefore, the GCF of Fractions 2688/220,5089/4937 is 7/1086140
Least Common Multiple of 220,4937 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 220,4937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,4937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,4937) x common factors =1 x 1 = 1
LCM(220,4937) = ( 220 × 4937 ) / 1
LCM(220,4937) = 1086140 / 1
LCM(220,4937) = 1086140
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FAQs on GCF of Fractions of 2688/220, 5089/4937
1. What is the HCF of 2688,5089?
The HCF of 2688,5089 is 7
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 2688/220, 5089/4937?
Answer: GCF of Numerators as per given numbers 2688/220, 5089/4937 is
GCF of Numerators i.e. for 2688,5089 is 7
LCM of denominators i.e. for 220,4937 is 1086140.
Thus, GCF of Fractions is 7/1086140.Finally, GCF of Fractions for 2688/220, 5089/4937 is 7/1086140.