GCF of 1298/311, 3156/548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1298/311, 3156/548 i.e 2/170428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1298/311, 3156/548.
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 1298/311,3156/548?
Given fractions are 1298/311,3156/548
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 1298/311,3156/548, numerators are 1298,3156
Denominators are 311,548
The GCF of 1298,3156 is 2 .
LCM of 311,548 is 170428.
The greatest common factor of 1298/311,3156/548 = [GCF of 1298,3156]/[LCM of 311,548]= 2/170428
Therefore, the GCF of 1298/311,3156/548 is 2/170428.
To find the highest common factor of 1298,3156, we have to find the factors of both numbers and list the highest common factor.
The factors of 1298 are 1, 2, 11, 22, 59, 118, 649, 1298
The factors of 3156 are 1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578, 3156
The HCF of 1298,3156 is 2.
Lets's calculate GCF of 1298,3156
| 2 | 1298, 3156 |
| 649, 1578 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1298,3156 By Matching Biggest Common Factor Method
Now, list down the factors of 1298
:1,2,11,22,59,118,649,1298
Now, list down the factors of 3156
:1,2,3,4,6,12,263,526,789,1052,1578,3156
Greatest Common Factor
We found the factors 1298,3156 . The biggest common factor number is the GCF number.
So the greatest common factor 1298,3156 is 2.
Lets's calculate LCM of 311,548
Given numbers has no common factors except 1. So, there LCM is their product i.e 170428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/170428
Therefore, the GCF of Fractions 1298/311,3156/548 is 2/170428
Least Common Multiple of 311,548 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 311,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,548) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,548) x common factors =1 x 1 = 1
LCM(311,548) = ( 311 × 548 ) / 1
LCM(311,548) = 170428 / 1
LCM(311,548) = 170428
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FAQs on GCF of Fractions of 1298/311, 3156/548
1. What is the HCF of 1298,3156?
The HCF of 1298,3156 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 1298/311, 3156/548?
Answer: GCF of Numerators as per given numbers 1298/311, 3156/548 is
GCF of Numerators i.e. for 1298,3156 is 2
LCM of denominators i.e. for 311,548 is 170428.
Thus, GCF of Fractions is 2/170428.Finally, GCF of Fractions for 1298/311, 3156/548 is 2/170428.