GCF of 5076/605, 2890/431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5076/605, 2890/431 i.e 2/260755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5076/605, 2890/431.
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 5076/605,2890/431?
Given fractions are 5076/605,2890/431
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 5076/605,2890/431, numerators are 5076,2890
Denominators are 605,431
The GCF of 5076,2890 is 2 .
LCM of 605,431 is 260755.
The greatest common factor of 5076/605,2890/431 = [GCF of 5076,2890]/[LCM of 605,431]= 2/260755
Therefore, the GCF of 5076/605,2890/431 is 2/260755.
To find the highest common factor of 5076,2890, we have to find the factors of both numbers and list the highest common factor.
The factors of 5076 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076
The factors of 2890 are 1, 2, 5, 10, 17, 34, 85, 170, 289, 578, 1445, 2890
The HCF of 5076,2890 is 2.
Lets's calculate GCF of 5076,2890
| 2 | 5076, 2890 |
| 2538, 1445 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5076,2890 By Matching Biggest Common Factor Method
Now, list down the factors of 5076
:1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076
Now, list down the factors of 2890
:1,2,5,10,17,34,85,170,289,578,1445,2890
Greatest Common Factor
We found the factors 5076,2890 . The biggest common factor number is the GCF number.
So the greatest common factor 5076,2890 is 2.
Lets's calculate LCM of 605,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 260755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/260755
Therefore, the GCF of Fractions 5076/605,2890/431 is 2/260755
Least Common Multiple of 605,431 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 605,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,431) x common factors =1 x 1 = 1
LCM(605,431) = ( 605 × 431 ) / 1
LCM(605,431) = 260755 / 1
LCM(605,431) = 260755
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FAQs on GCF of Fractions of 5076/605, 2890/431
1. What is the HCF of 5076,2890?
The HCF of 5076,2890 is 2
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 5076/605, 2890/431?
Answer: GCF of Numerators as per given numbers 5076/605, 2890/431 is
GCF of Numerators i.e. for 5076,2890 is 2
LCM of denominators i.e. for 605,431 is 260755.
Thus, GCF of Fractions is 2/260755.Finally, GCF of Fractions for 5076/605, 2890/431 is 2/260755.