GCF of 3580/738, 1034/2383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3580/738, 1034/2383 i.e 2/1758654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3580/738, 1034/2383.
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 3580/738,1034/2383?
Given fractions are 3580/738,1034/2383
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 3580/738,1034/2383, numerators are 3580,1034
Denominators are 738,2383
The GCF of 3580,1034 is 2 .
LCM of 738,2383 is 1758654.
The greatest common factor of 3580/738,1034/2383 = [GCF of 3580,1034]/[LCM of 738,2383]= 2/1758654
Therefore, the GCF of 3580/738,1034/2383 is 2/1758654.
To find the highest common factor of 3580,1034, we have to find the factors of both numbers and list the highest common factor.
The factors of 3580 are 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790, 3580
The factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034
The HCF of 3580,1034 is 2.
Lets's calculate GCF of 3580,1034
| 2 | 3580, 1034 |
| 1790, 517 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3580,1034 By Matching Biggest Common Factor Method
Now, list down the factors of 3580
:1,2,4,5,10,20,179,358,716,895,1790,3580
Now, list down the factors of 1034
:1,2,11,22,47,94,517,1034
Greatest Common Factor
We found the factors 3580,1034 . The biggest common factor number is the GCF number.
So the greatest common factor 3580,1034 is 2.
Lets's calculate LCM of 738,2383
Given numbers has no common factors except 1. So, there LCM is their product i.e 1758654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1758654
Therefore, the GCF of Fractions 3580/738,1034/2383 is 2/1758654
Least Common Multiple of 738,2383 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 738,2383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,2383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(738,2383) x common factors =1 x 1 = 1
LCM(738,2383) = ( 738 × 2383 ) / 1
LCM(738,2383) = 1758654 / 1
LCM(738,2383) = 1758654
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FAQs on GCF of Fractions of 3580/738, 1034/2383
1. What is the HCF of 3580,1034?
The HCF of 3580,1034 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 3580/738, 1034/2383?
Answer: GCF of Numerators as per given numbers 3580/738, 1034/2383 is
GCF of Numerators i.e. for 3580,1034 is 2
LCM of denominators i.e. for 738,2383 is 1758654.
Thus, GCF of Fractions is 2/1758654.Finally, GCF of Fractions for 3580/738, 1034/2383 is 2/1758654.