GCF of 5680/755, 2930/3288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5680/755, 2930/3288 i.e 10/2482440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5680/755, 2930/3288.
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 5680/755,2930/3288?
Given fractions are 5680/755,2930/3288
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 5680/755,2930/3288, numerators are 5680,2930
Denominators are 755,3288
The GCF of 5680,2930 is 10 .
LCM of 755,3288 is 2482440.
The greatest common factor of 5680/755,2930/3288 = [GCF of 5680,2930]/[LCM of 755,3288]= 10/2482440
Therefore, the GCF of 5680/755,2930/3288 is 10/2482440.
To find the highest common factor of 5680,2930, we have to find the factors of both numbers and list the highest common factor.
The factors of 5680 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 71, 80, 142, 284, 355, 568, 710, 1136, 1420, 2840, 5680
The factors of 2930 are 1, 2, 5, 10, 293, 586, 1465, 2930
The HCF of 5680,2930 is 10.
Lets's calculate GCF of 5680,2930
| 2 | 5680, 2930 |
| 5 | 2840, 1465 |
| 568, 293 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5680,2930 By Matching Biggest Common Factor Method
Now, list down the factors of 5680
:1,2,4,5,8,10,16,20,40,71,80,142,284,355,568,710,1136,1420,2840,5680
Now, list down the factors of 2930
:1,2,5,10,293,586,1465,2930
Greatest Common Factor
We found the factors 5680,2930 . The biggest common factor number is the GCF number.
So the greatest common factor 5680,2930 is 10.
Lets's calculate LCM of 755,3288
Given numbers has no common factors except 1. So, there LCM is their product i.e 2482440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2482440
Therefore, the GCF of Fractions 5680/755,2930/3288 is 10/2482440
Least Common Multiple of 755,3288 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 755,3288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,3288) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,3288) x common factors =1 x 1 = 1
LCM(755,3288) = ( 755 × 3288 ) / 1
LCM(755,3288) = 2482440 / 1
LCM(755,3288) = 2482440
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FAQs on GCF of Fractions of 5680/755, 2930/3288
1. What is the HCF of 5680,2930?
The HCF of 5680,2930 is 10
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 5680/755, 2930/3288?
Answer: GCF of Numerators as per given numbers 5680/755, 2930/3288 is
GCF of Numerators i.e. for 5680,2930 is 10
LCM of denominators i.e. for 755,3288 is 2482440.
Thus, GCF of Fractions is 10/2482440.Finally, GCF of Fractions for 5680/755, 2930/3288 is 10/2482440.