GCF of 35/194, 7005/3512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 35/194, 7005/3512 i.e 5/340664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/194, 7005/3512.
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 35/194,7005/3512?
Given fractions are 35/194,7005/3512
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 35/194,7005/3512, numerators are 35,7005
Denominators are 194,3512
The GCF of 35,7005 is 5 .
LCM of 194,3512 is 340664.
The greatest common factor of 35/194,7005/3512 = [GCF of 35,7005]/[LCM of 194,3512]= 5/340664
Therefore, the GCF of 35/194,7005/3512 is 5/340664.
To find the highest common factor of 35,7005, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 7005 are 1, 3, 5, 15, 467, 1401, 2335, 7005
The HCF of 35,7005 is 5.
Lets's calculate GCF of 35,7005
| 5 | 35, 7005 |
| 7, 1401 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 35,7005 By Matching Biggest Common Factor Method
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 7005
:1,3,5,15,467,1401,2335,7005
Greatest Common Factor
We found the factors 35,7005 . The biggest common factor number is the GCF number.
So the greatest common factor 35,7005 is 5.
Lets's calculate LCM of 194,3512
| 2 | 194, 3512 |
| 97, 1756 |
∴ So the LCM of the given numbers is 2 x 97 x 1756 = 340664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/340664
Therefore, the GCF of Fractions 35/194,7005/3512 is 5/340664
Least Common Multiple of 194,3512 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 194,3512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,3512) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,3512) x common factors =2 x 1 = 2
LCM(194,3512) = ( 194 × 3512 ) / 2
LCM(194,3512) = 681328 / 2
LCM(194,3512) = 340664
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FAQs on GCF of Fractions of 35/194, 7005/3512
1. What is the HCF of 35,7005?
The HCF of 35,7005 is 5
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 35/194, 7005/3512?
Answer: GCF of Numerators as per given numbers 35/194, 7005/3512 is
GCF of Numerators i.e. for 35,7005 is 5
LCM of denominators i.e. for 194,3512 is 340664.
Thus, GCF of Fractions is 5/340664.Finally, GCF of Fractions for 35/194, 7005/3512 is 5/340664.