GCF of 2590/285, 4312/3519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2590/285, 4312/3519 i.e 14/334305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2590/285, 4312/3519.
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 2590/285,4312/3519?
Given fractions are 2590/285,4312/3519
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 2590/285,4312/3519, numerators are 2590,4312
Denominators are 285,3519
The GCF of 2590,4312 is 14 .
LCM of 285,3519 is 334305.
The greatest common factor of 2590/285,4312/3519 = [GCF of 2590,4312]/[LCM of 285,3519]= 14/334305
Therefore, the GCF of 2590/285,4312/3519 is 14/334305.
To find the highest common factor of 2590,4312, we have to find the factors of both numbers and list the highest common factor.
The factors of 2590 are 1, 2, 5, 7, 10, 14, 35, 37, 70, 74, 185, 259, 370, 518, 1295, 2590
The factors of 4312 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 392, 539, 616, 1078, 2156, 4312
The HCF of 2590,4312 is 14.
Lets's calculate GCF of 2590,4312
| 2 | 2590, 4312 |
| 7 | 1295, 2156 |
| 185, 308 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 2590,4312 By Matching Biggest Common Factor Method
Now, list down the factors of 2590
:1,2,5,7,10,14,35,37,70,74,185,259,370,518,1295,2590
Now, list down the factors of 4312
:1,2,4,7,8,11,14,22,28,44,49,56,77,88,98,154,196,308,392,539,616,1078,2156,4312
Greatest Common Factor
We found the factors 2590,4312 . The biggest common factor number is the GCF number.
So the greatest common factor 2590,4312 is 14.
Lets's calculate LCM of 285,3519
| 3 | 285, 3519 |
| 95, 1173 |
∴ So the LCM of the given numbers is 3 x 95 x 1173 = 334305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/334305
Therefore, the GCF of Fractions 2590/285,4312/3519 is 14/334305
Least Common Multiple of 285,3519 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 285,3519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,3519) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(285,3519) x common factors =3 x 1 = 3
LCM(285,3519) = ( 285 × 3519 ) / 3
LCM(285,3519) = 1002915 / 3
LCM(285,3519) = 334305
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FAQs on GCF of Fractions of 2590/285, 4312/3519
1. What is the HCF of 2590,4312?
The HCF of 2590,4312 is 14
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 2590/285, 4312/3519?
Answer: GCF of Numerators as per given numbers 2590/285, 4312/3519 is
GCF of Numerators i.e. for 2590,4312 is 14
LCM of denominators i.e. for 285,3519 is 334305.
Thus, GCF of Fractions is 14/334305.Finally, GCF of Fractions for 2590/285, 4312/3519 is 14/334305.