GCF of 3674/835, 1580/3141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3674/835, 1580/3141 i.e 2/2622735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3674/835, 1580/3141.
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 3674/835,1580/3141?
Given fractions are 3674/835,1580/3141
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 3674/835,1580/3141, numerators are 3674,1580
Denominators are 835,3141
The GCF of 3674,1580 is 2 .
LCM of 835,3141 is 2622735.
The greatest common factor of 3674/835,1580/3141 = [GCF of 3674,1580]/[LCM of 835,3141]= 2/2622735
Therefore, the GCF of 3674/835,1580/3141 is 2/2622735.
To find the highest common factor of 3674,1580, we have to find the factors of both numbers and list the highest common factor.
The factors of 3674 are 1, 2, 11, 22, 167, 334, 1837, 3674
The factors of 1580 are 1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580
The HCF of 3674,1580 is 2.
Lets's calculate GCF of 3674,1580
| 2 | 3674, 1580 |
| 1837, 790 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3674,1580 By Matching Biggest Common Factor Method
Now, list down the factors of 3674
:1,2,11,22,167,334,1837,3674
Now, list down the factors of 1580
:1,2,4,5,10,20,79,158,316,395,790,1580
Greatest Common Factor
We found the factors 3674,1580 . The biggest common factor number is the GCF number.
So the greatest common factor 3674,1580 is 2.
Lets's calculate LCM of 835,3141
Given numbers has no common factors except 1. So, there LCM is their product i.e 2622735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2622735
Therefore, the GCF of Fractions 3674/835,1580/3141 is 2/2622735
Least Common Multiple of 835,3141 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 835,3141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,3141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,3141) x common factors =1 x 1 = 1
LCM(835,3141) = ( 835 × 3141 ) / 1
LCM(835,3141) = 2622735 / 1
LCM(835,3141) = 2622735
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FAQs on GCF of Fractions of 3674/835, 1580/3141
1. What is the HCF of 3674,1580?
The HCF of 3674,1580 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 3674/835, 1580/3141?
Answer: GCF of Numerators as per given numbers 3674/835, 1580/3141 is
GCF of Numerators i.e. for 3674,1580 is 2
LCM of denominators i.e. for 835,3141 is 2622735.
Thus, GCF of Fractions is 2/2622735.Finally, GCF of Fractions for 3674/835, 1580/3141 is 2/2622735.