GCF of 1039/826, 5590/2570
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1039/826, 5590/2570 i.e 1/1061410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1039/826, 5590/2570.
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 1039/826,5590/2570?
Given fractions are 1039/826,5590/2570
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 1039/826,5590/2570, numerators are 1039,5590
Denominators are 826,2570
The GCF of 1039,5590 is 1 .
LCM of 826,2570 is 1061410.
The greatest common factor of 1039/826,5590/2570 = [GCF of 1039,5590]/[LCM of 826,2570]= 1/1061410
Therefore, the GCF of 1039/826,5590/2570 is 1/1061410.
To find the highest common factor of 1039,5590, we have to find the factors of both numbers and list the highest common factor.
The factors of 1039 are 1, 1039
The factors of 5590 are 1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795, 5590
The HCF of 1039,5590 is 1.
Lets's calculate GCF of 1039,5590
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1039,5590 By Matching Biggest Common Factor Method
Now, list down the factors of 1039
:1,1039
Now, list down the factors of 5590
:1,2,5,10,13,26,43,65,86,130,215,430,559,1118,2795,5590
Greatest Common Factor
We found the factors 1039,5590 . The biggest common factor number is the GCF number.
So the greatest common factor 1039,5590 is 1.
Lets's calculate LCM of 826,2570
| 2 | 826, 2570 |
| 413, 1285 |
∴ So the LCM of the given numbers is 2 x 413 x 1285 = 1061410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1061410
Therefore, the GCF of Fractions 1039/826,5590/2570 is 1/1061410
Least Common Multiple of 826,2570 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 826,2570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,2570) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(826,2570) x common factors =2 x 1 = 2
LCM(826,2570) = ( 826 × 2570 ) / 2
LCM(826,2570) = 2122820 / 2
LCM(826,2570) = 1061410
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FAQs on GCF of Fractions of 1039/826, 5590/2570
1. What is the HCF of 1039,5590?
The HCF of 1039,5590 is 1
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 1039/826, 5590/2570?
Answer: GCF of Numerators as per given numbers 1039/826, 5590/2570 is
GCF of Numerators i.e. for 1039,5590 is 1
LCM of denominators i.e. for 826,2570 is 1061410.
Thus, GCF of Fractions is 1/1061410.Finally, GCF of Fractions for 1039/826, 5590/2570 is 1/1061410.