GCF of 7241/370, 6508/9958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7241/370, 6508/9958 i.e 1/1842230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7241/370, 6508/9958.
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 7241/370,6508/9958?
Given fractions are 7241/370,6508/9958
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 7241/370,6508/9958, numerators are 7241,6508
Denominators are 370,9958
The GCF of 7241,6508 is 1 .
LCM of 370,9958 is 1842230.
The greatest common factor of 7241/370,6508/9958 = [GCF of 7241,6508]/[LCM of 370,9958]= 1/1842230
Therefore, the GCF of 7241/370,6508/9958 is 1/1842230.
To find the highest common factor of 7241,6508, we have to find the factors of both numbers and list the highest common factor.
The factors of 7241 are 1, 13, 557, 7241
The factors of 6508 are 1, 2, 4, 1627, 3254, 6508
The HCF of 7241,6508 is 1.
Lets's calculate GCF of 7241,6508
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7241,6508 By Matching Biggest Common Factor Method
Now, list down the factors of 7241
:1,13,557,7241
Now, list down the factors of 6508
:1,2,4,1627,3254,6508
Greatest Common Factor
We found the factors 7241,6508 . The biggest common factor number is the GCF number.
So the greatest common factor 7241,6508 is 1.
Lets's calculate LCM of 370,9958
| 2 | 370, 9958 |
| 185, 4979 |
∴ So the LCM of the given numbers is 2 x 185 x 4979 = 1842230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1842230
Therefore, the GCF of Fractions 7241/370,6508/9958 is 1/1842230
Least Common Multiple of 370,9958 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 370,9958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,9958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,9958) x common factors =2 x 1 = 2
LCM(370,9958) = ( 370 × 9958 ) / 2
LCM(370,9958) = 3684460 / 2
LCM(370,9958) = 1842230
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FAQs on GCF of Fractions of 7241/370, 6508/9958
1. What is the HCF of 7241,6508?
The HCF of 7241,6508 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 7241/370, 6508/9958?
Answer: GCF of Numerators as per given numbers 7241/370, 6508/9958 is
GCF of Numerators i.e. for 7241,6508 is 1
LCM of denominators i.e. for 370,9958 is 1842230.
Thus, GCF of Fractions is 1/1842230.Finally, GCF of Fractions for 7241/370, 6508/9958 is 1/1842230.