GCF of 3550/855, 1675/299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3550/855, 1675/299 i.e 25/255645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3550/855, 1675/299.
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 3550/855,1675/299?
Given fractions are 3550/855,1675/299
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 3550/855,1675/299, numerators are 3550,1675
Denominators are 855,299
The GCF of 3550,1675 is 25 .
LCM of 855,299 is 255645.
The greatest common factor of 3550/855,1675/299 = [GCF of 3550,1675]/[LCM of 855,299]= 25/255645
Therefore, the GCF of 3550/855,1675/299 is 25/255645.
To find the highest common factor of 3550,1675, we have to find the factors of both numbers and list the highest common factor.
The factors of 3550 are 1, 2, 5, 10, 25, 50, 71, 142, 355, 710, 1775, 3550
The factors of 1675 are 1, 5, 25, 67, 335, 1675
The HCF of 3550,1675 is 25.
Lets's calculate GCF of 3550,1675
| 5 | 3550, 1675 |
| 5 | 710, 335 |
| 142, 67 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 3550,1675 By Matching Biggest Common Factor Method
Now, list down the factors of 3550
:1,2,5,10,25,50,71,142,355,710,1775,3550
Now, list down the factors of 1675
:1,5,25,67,335,1675
Greatest Common Factor
We found the factors 3550,1675 . The biggest common factor number is the GCF number.
So the greatest common factor 3550,1675 is 25.
Lets's calculate LCM of 855,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 255645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/255645
Therefore, the GCF of Fractions 3550/855,1675/299 is 25/255645
Least Common Multiple of 855,299 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 855,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(855,299) x common factors =1 x 1 = 1
LCM(855,299) = ( 855 × 299 ) / 1
LCM(855,299) = 255645 / 1
LCM(855,299) = 255645
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FAQs on GCF of Fractions of 3550/855, 1675/299
1. What is the HCF of 3550,1675?
The HCF of 3550,1675 is 25
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 3550/855, 1675/299?
Answer: GCF of Numerators as per given numbers 3550/855, 1675/299 is
GCF of Numerators i.e. for 3550,1675 is 25
LCM of denominators i.e. for 855,299 is 255645.
Thus, GCF of Fractions is 25/255645.Finally, GCF of Fractions for 3550/855, 1675/299 is 25/255645.