GCF of 7157/814, 4180/4755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7157/814, 4180/4755 i.e 1/3870570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7157/814, 4180/4755.
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 7157/814,4180/4755?
Given fractions are 7157/814,4180/4755
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 7157/814,4180/4755, numerators are 7157,4180
Denominators are 814,4755
The GCF of 7157,4180 is 1 .
LCM of 814,4755 is 3870570.
The greatest common factor of 7157/814,4180/4755 = [GCF of 7157,4180]/[LCM of 814,4755]= 1/3870570
Therefore, the GCF of 7157/814,4180/4755 is 1/3870570.
To find the highest common factor of 7157,4180, we have to find the factors of both numbers and list the highest common factor.
The factors of 7157 are 1, 17, 421, 7157
The factors of 4180 are 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180
The HCF of 7157,4180 is 1.
Lets's calculate GCF of 7157,4180
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7157,4180 By Matching Biggest Common Factor Method
Now, list down the factors of 7157
:1,17,421,7157
Now, list down the factors of 4180
:1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180
Greatest Common Factor
We found the factors 7157,4180 . The biggest common factor number is the GCF number.
So the greatest common factor 7157,4180 is 1.
Lets's calculate LCM of 814,4755
Given numbers has no common factors except 1. So, there LCM is their product i.e 3870570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3870570
Therefore, the GCF of Fractions 7157/814,4180/4755 is 1/3870570
Least Common Multiple of 814,4755 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 814,4755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,4755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(814,4755) x common factors =1 x 1 = 1
LCM(814,4755) = ( 814 × 4755 ) / 1
LCM(814,4755) = 3870570 / 1
LCM(814,4755) = 3870570
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FAQs on GCF of Fractions of 7157/814, 4180/4755
1. What is the HCF of 7157,4180?
The HCF of 7157,4180 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 7157/814, 4180/4755?
Answer: GCF of Numerators as per given numbers 7157/814, 4180/4755 is
GCF of Numerators i.e. for 7157,4180 is 1
LCM of denominators i.e. for 814,4755 is 3870570.
Thus, GCF of Fractions is 1/3870570.Finally, GCF of Fractions for 7157/814, 4180/4755 is 1/3870570.