GCF of 3257/448, 3198/707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3257/448, 3198/707 i.e 1/45248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3257/448, 3198/707.
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 3257/448,3198/707?
Given fractions are 3257/448,3198/707
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 3257/448,3198/707, numerators are 3257,3198
Denominators are 448,707
The GCF of 3257,3198 is 1 .
LCM of 448,707 is 45248.
The greatest common factor of 3257/448,3198/707 = [GCF of 3257,3198]/[LCM of 448,707]= 1/45248
Therefore, the GCF of 3257/448,3198/707 is 1/45248.
To find the highest common factor of 3257,3198, we have to find the factors of both numbers and list the highest common factor.
The factors of 3257 are 1, 3257
The factors of 3198 are 1, 2, 3, 6, 13, 26, 39, 41, 78, 82, 123, 246, 533, 1066, 1599, 3198
The HCF of 3257,3198 is 1.
Lets's calculate GCF of 3257,3198
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3257,3198 By Matching Biggest Common Factor Method
Now, list down the factors of 3257
:1,3257
Now, list down the factors of 3198
:1,2,3,6,13,26,39,41,78,82,123,246,533,1066,1599,3198
Greatest Common Factor
We found the factors 3257,3198 . The biggest common factor number is the GCF number.
So the greatest common factor 3257,3198 is 1.
Lets's calculate LCM of 448,707
| 7 | 448, 707 |
| 64, 101 |
∴ So the LCM of the given numbers is 7 x 64 x 101 = 45248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45248
Therefore, the GCF of Fractions 3257/448,3198/707 is 1/45248
Least Common Multiple of 448,707 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 448,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,707) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(448,707) x common factors =7 x 1 = 7
LCM(448,707) = ( 448 × 707 ) / 7
LCM(448,707) = 316736 / 7
LCM(448,707) = 45248
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3257/448, 3198/707
1. What is the HCF of 3257,3198?
The HCF of 3257,3198 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 3257/448, 3198/707?
Answer: GCF of Numerators as per given numbers 3257/448, 3198/707 is
GCF of Numerators i.e. for 3257,3198 is 1
LCM of denominators i.e. for 448,707 is 45248.
Thus, GCF of Fractions is 1/45248.Finally, GCF of Fractions for 3257/448, 3198/707 is 1/45248.