GCF of 7190/586, 4874/192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7190/586, 4874/192 i.e 2/56256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7190/586, 4874/192.
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 7190/586,4874/192?
Given fractions are 7190/586,4874/192
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 7190/586,4874/192, numerators are 7190,4874
Denominators are 586,192
The GCF of 7190,4874 is 2 .
LCM of 586,192 is 56256.
The greatest common factor of 7190/586,4874/192 = [GCF of 7190,4874]/[LCM of 586,192]= 2/56256
Therefore, the GCF of 7190/586,4874/192 is 2/56256.
To find the highest common factor of 7190,4874, we have to find the factors of both numbers and list the highest common factor.
The factors of 7190 are 1, 2, 5, 10, 719, 1438, 3595, 7190
The factors of 4874 are 1, 2, 2437, 4874
The HCF of 7190,4874 is 2.
Lets's calculate GCF of 7190,4874
| 2 | 7190, 4874 |
| 3595, 2437 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7190,4874 By Matching Biggest Common Factor Method
Now, list down the factors of 7190
:1,2,5,10,719,1438,3595,7190
Now, list down the factors of 4874
:1,2,2437,4874
Greatest Common Factor
We found the factors 7190,4874 . The biggest common factor number is the GCF number.
So the greatest common factor 7190,4874 is 2.
Lets's calculate LCM of 586,192
| 2 | 586, 192 |
| 293, 96 |
∴ So the LCM of the given numbers is 2 x 293 x 96 = 56256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56256
Therefore, the GCF of Fractions 7190/586,4874/192 is 2/56256
Least Common Multiple of 586,192 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 586,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,192) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,192) x common factors =2 x 1 = 2
LCM(586,192) = ( 586 × 192 ) / 2
LCM(586,192) = 112512 / 2
LCM(586,192) = 56256
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FAQs on GCF of Fractions of 7190/586, 4874/192
1. What is the HCF of 7190,4874?
The HCF of 7190,4874 is 2
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 7190/586, 4874/192?
Answer: GCF of Numerators as per given numbers 7190/586, 4874/192 is
GCF of Numerators i.e. for 7190,4874 is 2
LCM of denominators i.e. for 586,192 is 56256.
Thus, GCF of Fractions is 2/56256.Finally, GCF of Fractions for 7190/586, 4874/192 is 2/56256.