GCF of 488/608, 1342/690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 488/608, 1342/690 i.e 122/209760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 488/608, 1342/690.
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 488/608,1342/690?
Given fractions are 488/608,1342/690
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 488/608,1342/690, numerators are 488,1342
Denominators are 608,690
The GCF of 488,1342 is 122 .
LCM of 608,690 is 209760.
The greatest common factor of 488/608,1342/690 = [GCF of 488,1342]/[LCM of 608,690]= 122/209760
Therefore, the GCF of 488/608,1342/690 is 122/209760.
To find the highest common factor of 488,1342, we have to find the factors of both numbers and list the highest common factor.
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The factors of 1342 are 1, 2, 11, 22, 61, 122, 671, 1342
The HCF of 488,1342 is 122.
Lets's calculate GCF of 488,1342
| 2 | 488, 1342 |
| 61 | 244, 671 |
| 4, 11 |
∴ So the GCF of the given numbers is 2 x 61 = 122
Greatest Common Factor of 488,1342 By Matching Biggest Common Factor Method
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Now, list down the factors of 1342
:1,2,11,22,61,122,671,1342
Greatest Common Factor
We found the factors 488,1342 . The biggest common factor number is the GCF number.
So the greatest common factor 488,1342 is 122.
Lets's calculate LCM of 608,690
| 2 | 608, 690 |
| 304, 345 |
∴ So the LCM of the given numbers is 2 x 304 x 345 = 209760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 122/209760
Therefore, the GCF of Fractions 488/608,1342/690 is 122/209760
Least Common Multiple of 608,690 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 608,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,690) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(608,690) x common factors =2 x 1 = 2
LCM(608,690) = ( 608 × 690 ) / 2
LCM(608,690) = 419520 / 2
LCM(608,690) = 209760
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FAQs on GCF of Fractions of 488/608, 1342/690
1. What is the HCF of 488,1342?
The HCF of 488,1342 is 122
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 488/608, 1342/690?
Answer: GCF of Numerators as per given numbers 488/608, 1342/690 is
GCF of Numerators i.e. for 488,1342 is 122
LCM of denominators i.e. for 608,690 is 209760.
Thus, GCF of Fractions is 122/209760.Finally, GCF of Fractions for 488/608, 1342/690 is 122/209760.