GCF of 608/758, 6505/242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 608/758, 6505/242 i.e 1/91718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 608/758, 6505/242.
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 608/758,6505/242?
Given fractions are 608/758,6505/242
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 608/758,6505/242, numerators are 608,6505
Denominators are 758,242
The GCF of 608,6505 is 1 .
LCM of 758,242 is 91718.
The greatest common factor of 608/758,6505/242 = [GCF of 608,6505]/[LCM of 758,242]= 1/91718
Therefore, the GCF of 608/758,6505/242 is 1/91718.
To find the highest common factor of 608,6505, we have to find the factors of both numbers and list the highest common factor.
The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
The factors of 6505 are 1, 5, 1301, 6505
The HCF of 608,6505 is 1.
Lets's calculate GCF of 608,6505
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 608,6505 By Matching Biggest Common Factor Method
Now, list down the factors of 608
:1,2,4,8,16,19,32,38,76,152,304,608
Now, list down the factors of 6505
:1,5,1301,6505
Greatest Common Factor
We found the factors 608,6505 . The biggest common factor number is the GCF number.
So the greatest common factor 608,6505 is 1.
Lets's calculate LCM of 758,242
| 2 | 758, 242 |
| 379, 121 |
∴ So the LCM of the given numbers is 2 x 379 x 121 = 91718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91718
Therefore, the GCF of Fractions 608/758,6505/242 is 1/91718
Least Common Multiple of 758,242 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 758,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(758,242) x common factors =2 x 1 = 2
LCM(758,242) = ( 758 × 242 ) / 2
LCM(758,242) = 183436 / 2
LCM(758,242) = 91718
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FAQs on GCF of Fractions of 608/758, 6505/242
1. What is the HCF of 608,6505?
The HCF of 608,6505 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 608/758, 6505/242?
Answer: GCF of Numerators as per given numbers 608/758, 6505/242 is
GCF of Numerators i.e. for 608,6505 is 1
LCM of denominators i.e. for 758,242 is 91718.
Thus, GCF of Fractions is 1/91718.Finally, GCF of Fractions for 608/758, 6505/242 is 1/91718.