GCF of 3395/155, 7007/202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3395/155, 7007/202 i.e 7/31310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3395/155, 7007/202.
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 3395/155,7007/202?
Given fractions are 3395/155,7007/202
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 3395/155,7007/202, numerators are 3395,7007
Denominators are 155,202
The GCF of 3395,7007 is 7 .
LCM of 155,202 is 31310.
The greatest common factor of 3395/155,7007/202 = [GCF of 3395,7007]/[LCM of 155,202]= 7/31310
Therefore, the GCF of 3395/155,7007/202 is 7/31310.
To find the highest common factor of 3395,7007, we have to find the factors of both numbers and list the highest common factor.
The factors of 3395 are 1, 5, 7, 35, 97, 485, 679, 3395
The factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007
The HCF of 3395,7007 is 7.
Lets's calculate GCF of 3395,7007
| 7 | 3395, 7007 |
| 485, 1001 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3395,7007 By Matching Biggest Common Factor Method
Now, list down the factors of 3395
:1,5,7,35,97,485,679,3395
Now, list down the factors of 7007
:1,7,11,13,49,77,91,143,539,637,1001,7007
Greatest Common Factor
We found the factors 3395,7007 . The biggest common factor number is the GCF number.
So the greatest common factor 3395,7007 is 7.
Lets's calculate LCM of 155,202
Given numbers has no common factors except 1. So, there LCM is their product i.e 31310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/31310
Therefore, the GCF of Fractions 3395/155,7007/202 is 7/31310
Least Common Multiple of 155,202 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 155,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,202) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,202) x common factors =1 x 1 = 1
LCM(155,202) = ( 155 × 202 ) / 1
LCM(155,202) = 31310 / 1
LCM(155,202) = 31310
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FAQs on GCF of Fractions of 3395/155, 7007/202
1. What is the HCF of 3395,7007?
The HCF of 3395,7007 is 7
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 3395/155, 7007/202?
Answer: GCF of Numerators as per given numbers 3395/155, 7007/202 is
GCF of Numerators i.e. for 3395,7007 is 7
LCM of denominators i.e. for 155,202 is 31310.
Thus, GCF of Fractions is 7/31310.Finally, GCF of Fractions for 3395/155, 7007/202 is 7/31310.