GCF of 2840/969, 3540/5015
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2840/969, 3540/5015 i.e 20/285855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2840/969, 3540/5015.
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 2840/969,3540/5015?
Given fractions are 2840/969,3540/5015
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 2840/969,3540/5015, numerators are 2840,3540
Denominators are 969,5015
The GCF of 2840,3540 is 20 .
LCM of 969,5015 is 285855.
The greatest common factor of 2840/969,3540/5015 = [GCF of 2840,3540]/[LCM of 969,5015]= 20/285855
Therefore, the GCF of 2840/969,3540/5015 is 20/285855.
To find the highest common factor of 2840,3540, we have to find the factors of both numbers and list the highest common factor.
The factors of 2840 are 1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840
The factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540
The HCF of 2840,3540 is 20.
Lets's calculate GCF of 2840,3540
| 2 | 2840, 3540 |
| 2 | 1420, 1770 |
| 5 | 710, 885 |
| 142, 177 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 2840,3540 By Matching Biggest Common Factor Method
Now, list down the factors of 2840
:1,2,4,5,8,10,20,40,71,142,284,355,568,710,1420,2840
Now, list down the factors of 3540
:1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540
Greatest Common Factor
We found the factors 2840,3540 . The biggest common factor number is the GCF number.
So the greatest common factor 2840,3540 is 20.
Lets's calculate LCM of 969,5015
| 17 | 969, 5015 |
| 57, 295 |
∴ So the LCM of the given numbers is 17 x 57 x 295 = 285855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/285855
Therefore, the GCF of Fractions 2840/969,3540/5015 is 20/285855
Least Common Multiple of 969,5015 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 969,5015 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,5015) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(969,5015) x common factors =17 x 1 = 17
LCM(969,5015) = ( 969 × 5015 ) / 17
LCM(969,5015) = 4859535 / 17
LCM(969,5015) = 285855
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FAQs on GCF of Fractions of 2840/969, 3540/5015
1. What is the HCF of 2840,3540?
The HCF of 2840,3540 is 20
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 2840/969, 3540/5015?
Answer: GCF of Numerators as per given numbers 2840/969, 3540/5015 is
GCF of Numerators i.e. for 2840,3540 is 20
LCM of denominators i.e. for 969,5015 is 285855.
Thus, GCF of Fractions is 20/285855.Finally, GCF of Fractions for 2840/969, 3540/5015 is 20/285855.