GCF of 1850/735, 1308/1774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1850/735, 1308/1774 i.e 2/1303890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1850/735, 1308/1774.
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 1850/735,1308/1774?
Given fractions are 1850/735,1308/1774
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 1850/735,1308/1774, numerators are 1850,1308
Denominators are 735,1774
The GCF of 1850,1308 is 2 .
LCM of 735,1774 is 1303890.
The greatest common factor of 1850/735,1308/1774 = [GCF of 1850,1308]/[LCM of 735,1774]= 2/1303890
Therefore, the GCF of 1850/735,1308/1774 is 2/1303890.
To find the highest common factor of 1850,1308, we have to find the factors of both numbers and list the highest common factor.
The factors of 1850 are 1, 2, 5, 10, 25, 37, 50, 74, 185, 370, 925, 1850
The factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308
The HCF of 1850,1308 is 2.
Lets's calculate GCF of 1850,1308
| 2 | 1850, 1308 |
| 925, 654 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1850,1308 By Matching Biggest Common Factor Method
Now, list down the factors of 1850
:1,2,5,10,25,37,50,74,185,370,925,1850
Now, list down the factors of 1308
:1,2,3,4,6,12,109,218,327,436,654,1308
Greatest Common Factor
We found the factors 1850,1308 . The biggest common factor number is the GCF number.
So the greatest common factor 1850,1308 is 2.
Lets's calculate LCM of 735,1774
Given numbers has no common factors except 1. So, there LCM is their product i.e 1303890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1303890
Therefore, the GCF of Fractions 1850/735,1308/1774 is 2/1303890
Least Common Multiple of 735,1774 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 735,1774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,1774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(735,1774) x common factors =1 x 1 = 1
LCM(735,1774) = ( 735 × 1774 ) / 1
LCM(735,1774) = 1303890 / 1
LCM(735,1774) = 1303890
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FAQs on GCF of Fractions of 1850/735, 1308/1774
1. What is the HCF of 1850,1308?
The HCF of 1850,1308 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 1850/735, 1308/1774?
Answer: GCF of Numerators as per given numbers 1850/735, 1308/1774 is
GCF of Numerators i.e. for 1850,1308 is 2
LCM of denominators i.e. for 735,1774 is 1303890.
Thus, GCF of Fractions is 2/1303890.Finally, GCF of Fractions for 1850/735, 1308/1774 is 2/1303890.