GCF of 5516/674, 2948/809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5516/674, 2948/809 i.e 4/545266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5516/674, 2948/809.
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 5516/674,2948/809?
Given fractions are 5516/674,2948/809
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 5516/674,2948/809, numerators are 5516,2948
Denominators are 674,809
The GCF of 5516,2948 is 4 .
LCM of 674,809 is 545266.
The greatest common factor of 5516/674,2948/809 = [GCF of 5516,2948]/[LCM of 674,809]= 4/545266
Therefore, the GCF of 5516/674,2948/809 is 4/545266.
To find the highest common factor of 5516,2948, we have to find the factors of both numbers and list the highest common factor.
The factors of 5516 are 1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516
The factors of 2948 are 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474, 2948
The HCF of 5516,2948 is 4.
Lets's calculate GCF of 5516,2948
| 2 | 5516, 2948 |
| 2 | 2758, 1474 |
| 1379, 737 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5516,2948 By Matching Biggest Common Factor Method
Now, list down the factors of 5516
:1,2,4,7,14,28,197,394,788,1379,2758,5516
Now, list down the factors of 2948
:1,2,4,11,22,44,67,134,268,737,1474,2948
Greatest Common Factor
We found the factors 5516,2948 . The biggest common factor number is the GCF number.
So the greatest common factor 5516,2948 is 4.
Lets's calculate LCM of 674,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 545266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/545266
Therefore, the GCF of Fractions 5516/674,2948/809 is 4/545266
Least Common Multiple of 674,809 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 674,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(674,809) x common factors =1 x 1 = 1
LCM(674,809) = ( 674 × 809 ) / 1
LCM(674,809) = 545266 / 1
LCM(674,809) = 545266
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5516/674, 2948/809
1. What is the HCF of 5516,2948?
The HCF of 5516,2948 is 4
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 5516/674, 2948/809?
Answer: GCF of Numerators as per given numbers 5516/674, 2948/809 is
GCF of Numerators i.e. for 5516,2948 is 4
LCM of denominators i.e. for 674,809 is 545266.
Thus, GCF of Fractions is 4/545266.Finally, GCF of Fractions for 5516/674, 2948/809 is 4/545266.