GCF of 7024/238, 3691/5298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7024/238, 3691/5298 i.e 1/630462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7024/238, 3691/5298.
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 7024/238,3691/5298?
Given fractions are 7024/238,3691/5298
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 7024/238,3691/5298, numerators are 7024,3691
Denominators are 238,5298
The GCF of 7024,3691 is 1 .
LCM of 238,5298 is 630462.
The greatest common factor of 7024/238,3691/5298 = [GCF of 7024,3691]/[LCM of 238,5298]= 1/630462
Therefore, the GCF of 7024/238,3691/5298 is 1/630462.
To find the highest common factor of 7024,3691, we have to find the factors of both numbers and list the highest common factor.
The factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024
The factors of 3691 are 1, 3691
The HCF of 7024,3691 is 1.
Lets's calculate GCF of 7024,3691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7024,3691 By Matching Biggest Common Factor Method
Now, list down the factors of 7024
:1,2,4,8,16,439,878,1756,3512,7024
Now, list down the factors of 3691
:1,3691
Greatest Common Factor
We found the factors 7024,3691 . The biggest common factor number is the GCF number.
So the greatest common factor 7024,3691 is 1.
Lets's calculate LCM of 238,5298
| 2 | 238, 5298 |
| 119, 2649 |
∴ So the LCM of the given numbers is 2 x 119 x 2649 = 630462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630462
Therefore, the GCF of Fractions 7024/238,3691/5298 is 1/630462
Least Common Multiple of 238,5298 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 238,5298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,5298) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,5298) x common factors =2 x 1 = 2
LCM(238,5298) = ( 238 × 5298 ) / 2
LCM(238,5298) = 1260924 / 2
LCM(238,5298) = 630462
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FAQs on GCF of Fractions of 7024/238, 3691/5298
1. What is the HCF of 7024,3691?
The HCF of 7024,3691 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 7024/238, 3691/5298?
Answer: GCF of Numerators as per given numbers 7024/238, 3691/5298 is
GCF of Numerators i.e. for 7024,3691 is 1
LCM of denominators i.e. for 238,5298 is 630462.
Thus, GCF of Fractions is 1/630462.Finally, GCF of Fractions for 7024/238, 3691/5298 is 1/630462.