GCF of 3500/178, 3304/1699
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3500/178, 3304/1699 i.e 28/302422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3500/178, 3304/1699.
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 3500/178,3304/1699?
Given fractions are 3500/178,3304/1699
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 3500/178,3304/1699, numerators are 3500,3304
Denominators are 178,1699
The GCF of 3500,3304 is 28 .
LCM of 178,1699 is 302422.
The greatest common factor of 3500/178,3304/1699 = [GCF of 3500,3304]/[LCM of 178,1699]= 28/302422
Therefore, the GCF of 3500/178,3304/1699 is 28/302422.
To find the highest common factor of 3500,3304, we have to find the factors of both numbers and list the highest common factor.
The factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500
The factors of 3304 are 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304
The HCF of 3500,3304 is 28.
Lets's calculate GCF of 3500,3304
| 2 | 3500, 3304 |
| 2 | 1750, 1652 |
| 7 | 875, 826 |
| 125, 118 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 3500,3304 By Matching Biggest Common Factor Method
Now, list down the factors of 3500
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,125,140,175,250,350,500,700,875,1750,3500
Now, list down the factors of 3304
:1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304
Greatest Common Factor
We found the factors 3500,3304 . The biggest common factor number is the GCF number.
So the greatest common factor 3500,3304 is 28.
Lets's calculate LCM of 178,1699
Given numbers has no common factors except 1. So, there LCM is their product i.e 302422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/302422
Therefore, the GCF of Fractions 3500/178,3304/1699 is 28/302422
Least Common Multiple of 178,1699 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 178,1699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,1699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(178,1699) x common factors =1 x 1 = 1
LCM(178,1699) = ( 178 × 1699 ) / 1
LCM(178,1699) = 302422 / 1
LCM(178,1699) = 302422
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FAQs on GCF of Fractions of 3500/178, 3304/1699
1. What is the HCF of 3500,3304?
The HCF of 3500,3304 is 28
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 3500/178, 3304/1699?
Answer: GCF of Numerators as per given numbers 3500/178, 3304/1699 is
GCF of Numerators i.e. for 3500,3304 is 28
LCM of denominators i.e. for 178,1699 is 302422.
Thus, GCF of Fractions is 28/302422.Finally, GCF of Fractions for 3500/178, 3304/1699 is 28/302422.