GCF of 1116/278, 3298/919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1116/278, 3298/919 i.e 2/255482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1116/278, 3298/919.
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 1116/278,3298/919?
Given fractions are 1116/278,3298/919
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 1116/278,3298/919, numerators are 1116,3298
Denominators are 278,919
The GCF of 1116,3298 is 2 .
LCM of 278,919 is 255482.
The greatest common factor of 1116/278,3298/919 = [GCF of 1116,3298]/[LCM of 278,919]= 2/255482
Therefore, the GCF of 1116/278,3298/919 is 2/255482.
To find the highest common factor of 1116,3298, we have to find the factors of both numbers and list the highest common factor.
The factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116
The factors of 3298 are 1, 2, 17, 34, 97, 194, 1649, 3298
The HCF of 1116,3298 is 2.
Lets's calculate GCF of 1116,3298
| 2 | 1116, 3298 |
| 558, 1649 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1116,3298 By Matching Biggest Common Factor Method
Now, list down the factors of 1116
:1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116
Now, list down the factors of 3298
:1,2,17,34,97,194,1649,3298
Greatest Common Factor
We found the factors 1116,3298 . The biggest common factor number is the GCF number.
So the greatest common factor 1116,3298 is 2.
Lets's calculate LCM of 278,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 255482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/255482
Therefore, the GCF of Fractions 1116/278,3298/919 is 2/255482
Least Common Multiple of 278,919 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 278,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,919) x common factors =1 x 1 = 1
LCM(278,919) = ( 278 × 919 ) / 1
LCM(278,919) = 255482 / 1
LCM(278,919) = 255482
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FAQs on GCF of Fractions of 1116/278, 3298/919
1. What is the HCF of 1116,3298?
The HCF of 1116,3298 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 1116/278, 3298/919?
Answer: GCF of Numerators as per given numbers 1116/278, 3298/919 is
GCF of Numerators i.e. for 1116,3298 is 2
LCM of denominators i.e. for 278,919 is 255482.
Thus, GCF of Fractions is 2/255482.Finally, GCF of Fractions for 1116/278, 3298/919 is 2/255482.