GCF of 2564/605, 3114/3105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2564/605, 3114/3105 i.e 2/375705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2564/605, 3114/3105.
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 2564/605,3114/3105?
Given fractions are 2564/605,3114/3105
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 2564/605,3114/3105, numerators are 2564,3114
Denominators are 605,3105
The GCF of 2564,3114 is 2 .
LCM of 605,3105 is 375705.
The greatest common factor of 2564/605,3114/3105 = [GCF of 2564,3114]/[LCM of 605,3105]= 2/375705
Therefore, the GCF of 2564/605,3114/3105 is 2/375705.
To find the highest common factor of 2564,3114, we have to find the factors of both numbers and list the highest common factor.
The factors of 2564 are 1, 2, 4, 641, 1282, 2564
The factors of 3114 are 1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557, 3114
The HCF of 2564,3114 is 2.
Lets's calculate GCF of 2564,3114
| 2 | 2564, 3114 |
| 1282, 1557 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2564,3114 By Matching Biggest Common Factor Method
Now, list down the factors of 2564
:1,2,4,641,1282,2564
Now, list down the factors of 3114
:1,2,3,6,9,18,173,346,519,1038,1557,3114
Greatest Common Factor
We found the factors 2564,3114 . The biggest common factor number is the GCF number.
So the greatest common factor 2564,3114 is 2.
Lets's calculate LCM of 605,3105
| 5 | 605, 3105 |
| 121, 621 |
∴ So the LCM of the given numbers is 5 x 121 x 621 = 375705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/375705
Therefore, the GCF of Fractions 2564/605,3114/3105 is 2/375705
Least Common Multiple of 605,3105 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 605,3105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,3105) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(605,3105) x common factors =5 x 1 = 5
LCM(605,3105) = ( 605 × 3105 ) / 5
LCM(605,3105) = 1878525 / 5
LCM(605,3105) = 375705
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FAQs on GCF of Fractions of 2564/605, 3114/3105
1. What is the HCF of 2564,3114?
The HCF of 2564,3114 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 2564/605, 3114/3105?
Answer: GCF of Numerators as per given numbers 2564/605, 3114/3105 is
GCF of Numerators i.e. for 2564,3114 is 2
LCM of denominators i.e. for 605,3105 is 375705.
Thus, GCF of Fractions is 2/375705.Finally, GCF of Fractions for 2564/605, 3114/3105 is 2/375705.