GCF of 7258/570, 8391/4184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7258/570, 8391/4184 i.e 1/1192440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7258/570, 8391/4184.
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 7258/570,8391/4184?
Given fractions are 7258/570,8391/4184
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 7258/570,8391/4184, numerators are 7258,8391
Denominators are 570,4184
The GCF of 7258,8391 is 1 .
LCM of 570,4184 is 1192440.
The greatest common factor of 7258/570,8391/4184 = [GCF of 7258,8391]/[LCM of 570,4184]= 1/1192440
Therefore, the GCF of 7258/570,8391/4184 is 1/1192440.
To find the highest common factor of 7258,8391, we have to find the factors of both numbers and list the highest common factor.
The factors of 7258 are 1, 2, 19, 38, 191, 382, 3629, 7258
The factors of 8391 are 1, 3, 2797, 8391
The HCF of 7258,8391 is 1.
Lets's calculate GCF of 7258,8391
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7258,8391 By Matching Biggest Common Factor Method
Now, list down the factors of 7258
:1,2,19,38,191,382,3629,7258
Now, list down the factors of 8391
:1,3,2797,8391
Greatest Common Factor
We found the factors 7258,8391 . The biggest common factor number is the GCF number.
So the greatest common factor 7258,8391 is 1.
Lets's calculate LCM of 570,4184
| 2 | 570, 4184 |
| 285, 2092 |
∴ So the LCM of the given numbers is 2 x 285 x 2092 = 1192440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1192440
Therefore, the GCF of Fractions 7258/570,8391/4184 is 1/1192440
Least Common Multiple of 570,4184 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 570,4184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,4184) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(570,4184) x common factors =2 x 1 = 2
LCM(570,4184) = ( 570 × 4184 ) / 2
LCM(570,4184) = 2384880 / 2
LCM(570,4184) = 1192440
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FAQs on GCF of Fractions of 7258/570, 8391/4184
1. What is the HCF of 7258,8391?
The HCF of 7258,8391 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 7258/570, 8391/4184?
Answer: GCF of Numerators as per given numbers 7258/570, 8391/4184 is
GCF of Numerators i.e. for 7258,8391 is 1
LCM of denominators i.e. for 570,4184 is 1192440.
Thus, GCF of Fractions is 1/1192440.Finally, GCF of Fractions for 7258/570, 8391/4184 is 1/1192440.