GCF of 2998/802, 7406/358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2998/802, 7406/358 i.e 2/143558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2998/802, 7406/358.
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 2998/802,7406/358?
Given fractions are 2998/802,7406/358
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 2998/802,7406/358, numerators are 2998,7406
Denominators are 802,358
The GCF of 2998,7406 is 2 .
LCM of 802,358 is 143558.
The greatest common factor of 2998/802,7406/358 = [GCF of 2998,7406]/[LCM of 802,358]= 2/143558
Therefore, the GCF of 2998/802,7406/358 is 2/143558.
To find the highest common factor of 2998,7406, we have to find the factors of both numbers and list the highest common factor.
The factors of 2998 are 1, 2, 1499, 2998
The factors of 7406 are 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406
The HCF of 2998,7406 is 2.
Lets's calculate GCF of 2998,7406
| 2 | 2998, 7406 |
| 1499, 3703 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2998,7406 By Matching Biggest Common Factor Method
Now, list down the factors of 2998
:1,2,1499,2998
Now, list down the factors of 7406
:1,2,7,14,23,46,161,322,529,1058,3703,7406
Greatest Common Factor
We found the factors 2998,7406 . The biggest common factor number is the GCF number.
So the greatest common factor 2998,7406 is 2.
Lets's calculate LCM of 802,358
| 2 | 802, 358 |
| 401, 179 |
∴ So the LCM of the given numbers is 2 x 401 x 179 = 143558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/143558
Therefore, the GCF of Fractions 2998/802,7406/358 is 2/143558
Least Common Multiple of 802,358 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 802,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,358) x common factors =2 x 1 = 2
LCM(802,358) = ( 802 × 358 ) / 2
LCM(802,358) = 287116 / 2
LCM(802,358) = 143558
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FAQs on GCF of Fractions of 2998/802, 7406/358
1. What is the HCF of 2998,7406?
The HCF of 2998,7406 is 2
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 2998/802, 7406/358?
Answer: GCF of Numerators as per given numbers 2998/802, 7406/358 is
GCF of Numerators i.e. for 2998,7406 is 2
LCM of denominators i.e. for 802,358 is 143558.
Thus, GCF of Fractions is 2/143558.Finally, GCF of Fractions for 2998/802, 7406/358 is 2/143558.