GCF of 6395/166, 7002/5300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6395/166, 7002/5300 i.e 1/439900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6395/166, 7002/5300.
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 6395/166,7002/5300?
Given fractions are 6395/166,7002/5300
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 6395/166,7002/5300, numerators are 6395,7002
Denominators are 166,5300
The GCF of 6395,7002 is 1 .
LCM of 166,5300 is 439900.
The greatest common factor of 6395/166,7002/5300 = [GCF of 6395,7002]/[LCM of 166,5300]= 1/439900
Therefore, the GCF of 6395/166,7002/5300 is 1/439900.
To find the highest common factor of 6395,7002, we have to find the factors of both numbers and list the highest common factor.
The factors of 6395 are 1, 5, 1279, 6395
The factors of 7002 are 1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002
The HCF of 6395,7002 is 1.
Lets's calculate GCF of 6395,7002
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6395,7002 By Matching Biggest Common Factor Method
Now, list down the factors of 6395
:1,5,1279,6395
Now, list down the factors of 7002
:1,2,3,6,9,18,389,778,1167,2334,3501,7002
Greatest Common Factor
We found the factors 6395,7002 . The biggest common factor number is the GCF number.
So the greatest common factor 6395,7002 is 1.
Lets's calculate LCM of 166,5300
| 2 | 166, 5300 |
| 83, 2650 |
∴ So the LCM of the given numbers is 2 x 83 x 2650 = 439900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/439900
Therefore, the GCF of Fractions 6395/166,7002/5300 is 1/439900
Least Common Multiple of 166,5300 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 166,5300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,5300) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,5300) x common factors =2 x 1 = 2
LCM(166,5300) = ( 166 × 5300 ) / 2
LCM(166,5300) = 879800 / 2
LCM(166,5300) = 439900
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FAQs on GCF of Fractions of 6395/166, 7002/5300
1. What is the HCF of 6395,7002?
The HCF of 6395,7002 is 1
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 6395/166, 7002/5300?
Answer: GCF of Numerators as per given numbers 6395/166, 7002/5300 is
GCF of Numerators i.e. for 6395,7002 is 1
LCM of denominators i.e. for 166,5300 is 439900.
Thus, GCF of Fractions is 1/439900.Finally, GCF of Fractions for 6395/166, 7002/5300 is 1/439900.