GCF of 245/43, 448/738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 245/43, 448/738 i.e 7/31734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 245/43, 448/738.
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 245/43,448/738?
Given fractions are 245/43,448/738
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 245/43,448/738, numerators are 245,448
Denominators are 43,738
The GCF of 245,448 is 7 .
LCM of 43,738 is 31734.
The greatest common factor of 245/43,448/738 = [GCF of 245,448]/[LCM of 43,738]= 7/31734
Therefore, the GCF of 245/43,448/738 is 7/31734.
To find the highest common factor of 245,448, we have to find the factors of both numbers and list the highest common factor.
The factors of 245 are 1, 5, 7, 35, 49, 245
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
The HCF of 245,448 is 7.
Lets's calculate GCF of 245,448
| 7 | 245, 448 |
| 35, 64 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 245,448 By Matching Biggest Common Factor Method
Now, list down the factors of 245
:1,5,7,35,49,245
Now, list down the factors of 448
:1,2,4,7,8,14,16,28,32,56,64,112,224,448
Greatest Common Factor
We found the factors 245,448 . The biggest common factor number is the GCF number.
So the greatest common factor 245,448 is 7.
Lets's calculate LCM of 43,738
Given numbers has no common factors except 1. So, there LCM is their product i.e 31734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/31734
Therefore, the GCF of Fractions 245/43,448/738 is 7/31734
Least Common Multiple of 43,738 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 43,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,738) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,738) x common factors =1 x 1 = 1
LCM(43,738) = ( 43 × 738 ) / 1
LCM(43,738) = 31734 / 1
LCM(43,738) = 31734
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FAQs on GCF of Fractions of 245/43, 448/738
1. What is the HCF of 245,448?
The HCF of 245,448 is 7
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 245/43, 448/738?
Answer: GCF of Numerators as per given numbers 245/43, 448/738 is
GCF of Numerators i.e. for 245,448 is 7
LCM of denominators i.e. for 43,738 is 31734.
Thus, GCF of Fractions is 7/31734.Finally, GCF of Fractions for 245/43, 448/738 is 7/31734.