GCF of 9951/354, 1240/297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9951/354, 1240/297 i.e 31/35046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9951/354, 1240/297.
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 9951/354,1240/297?
Given fractions are 9951/354,1240/297
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 9951/354,1240/297, numerators are 9951,1240
Denominators are 354,297
The GCF of 9951,1240 is 31 .
LCM of 354,297 is 35046.
The greatest common factor of 9951/354,1240/297 = [GCF of 9951,1240]/[LCM of 354,297]= 31/35046
Therefore, the GCF of 9951/354,1240/297 is 31/35046.
To find the highest common factor of 9951,1240, we have to find the factors of both numbers and list the highest common factor.
The factors of 9951 are 1, 3, 31, 93, 107, 321, 3317, 9951
The factors of 1240 are 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240
The HCF of 9951,1240 is 31.
Lets's calculate GCF of 9951,1240
| 31 | 9951, 1240 |
| 321, 40 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 9951,1240 By Matching Biggest Common Factor Method
Now, list down the factors of 9951
:1,3,31,93,107,321,3317,9951
Now, list down the factors of 1240
:1,2,4,5,8,10,20,31,40,62,124,155,248,310,620,1240
Greatest Common Factor
We found the factors 9951,1240 . The biggest common factor number is the GCF number.
So the greatest common factor 9951,1240 is 31.
Lets's calculate LCM of 354,297
| 3 | 354, 297 |
| 118, 99 |
∴ So the LCM of the given numbers is 3 x 118 x 99 = 35046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/35046
Therefore, the GCF of Fractions 9951/354,1240/297 is 31/35046
Least Common Multiple of 354,297 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 354,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,297) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(354,297) x common factors =3 x 1 = 3
LCM(354,297) = ( 354 × 297 ) / 3
LCM(354,297) = 105138 / 3
LCM(354,297) = 35046
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FAQs on GCF of Fractions of 9951/354, 1240/297
1. What is the HCF of 9951,1240?
The HCF of 9951,1240 is 31
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 9951/354, 1240/297?
Answer: GCF of Numerators as per given numbers 9951/354, 1240/297 is
GCF of Numerators i.e. for 9951,1240 is 31
LCM of denominators i.e. for 354,297 is 35046.
Thus, GCF of Fractions is 31/35046.Finally, GCF of Fractions for 9951/354, 1240/297 is 31/35046.