GCF of 4684/195, 7059/7411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4684/195, 7059/7411 i.e 1/1445145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4684/195, 7059/7411.
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 4684/195,7059/7411?
Given fractions are 4684/195,7059/7411
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 4684/195,7059/7411, numerators are 4684,7059
Denominators are 195,7411
The GCF of 4684,7059 is 1 .
LCM of 195,7411 is 1445145.
The greatest common factor of 4684/195,7059/7411 = [GCF of 4684,7059]/[LCM of 195,7411]= 1/1445145
Therefore, the GCF of 4684/195,7059/7411 is 1/1445145.
To find the highest common factor of 4684,7059, we have to find the factors of both numbers and list the highest common factor.
The factors of 4684 are 1, 2, 4, 1171, 2342, 4684
The factors of 7059 are 1, 3, 13, 39, 181, 543, 2353, 7059
The HCF of 4684,7059 is 1.
Lets's calculate GCF of 4684,7059
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4684,7059 By Matching Biggest Common Factor Method
Now, list down the factors of 4684
:1,2,4,1171,2342,4684
Now, list down the factors of 7059
:1,3,13,39,181,543,2353,7059
Greatest Common Factor
We found the factors 4684,7059 . The biggest common factor number is the GCF number.
So the greatest common factor 4684,7059 is 1.
Lets's calculate LCM of 195,7411
Given numbers has no common factors except 1. So, there LCM is their product i.e 1445145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1445145
Therefore, the GCF of Fractions 4684/195,7059/7411 is 1/1445145
Least Common Multiple of 195,7411 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 195,7411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,7411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(195,7411) x common factors =1 x 1 = 1
LCM(195,7411) = ( 195 × 7411 ) / 1
LCM(195,7411) = 1445145 / 1
LCM(195,7411) = 1445145
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FAQs on GCF of Fractions of 4684/195, 7059/7411
1. What is the HCF of 4684,7059?
The HCF of 4684,7059 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 4684/195, 7059/7411?
Answer: GCF of Numerators as per given numbers 4684/195, 7059/7411 is
GCF of Numerators i.e. for 4684,7059 is 1
LCM of denominators i.e. for 195,7411 is 1445145.
Thus, GCF of Fractions is 1/1445145.Finally, GCF of Fractions for 4684/195, 7059/7411 is 1/1445145.