GCF of 3504/354, 5486/2998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3504/354, 5486/2998 i.e 2/530646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3504/354, 5486/2998.
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 3504/354,5486/2998?
Given fractions are 3504/354,5486/2998
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 3504/354,5486/2998, numerators are 3504,5486
Denominators are 354,2998
The GCF of 3504,5486 is 2 .
LCM of 354,2998 is 530646.
The greatest common factor of 3504/354,5486/2998 = [GCF of 3504,5486]/[LCM of 354,2998]= 2/530646
Therefore, the GCF of 3504/354,5486/2998 is 2/530646.
To find the highest common factor of 3504,5486, we have to find the factors of both numbers and list the highest common factor.
The factors of 3504 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504
The factors of 5486 are 1, 2, 13, 26, 211, 422, 2743, 5486
The HCF of 3504,5486 is 2.
Lets's calculate GCF of 3504,5486
| 2 | 3504, 5486 |
| 1752, 2743 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3504,5486 By Matching Biggest Common Factor Method
Now, list down the factors of 3504
:1,2,3,4,6,8,12,16,24,48,73,146,219,292,438,584,876,1168,1752,3504
Now, list down the factors of 5486
:1,2,13,26,211,422,2743,5486
Greatest Common Factor
We found the factors 3504,5486 . The biggest common factor number is the GCF number.
So the greatest common factor 3504,5486 is 2.
Lets's calculate LCM of 354,2998
| 2 | 354, 2998 |
| 177, 1499 |
∴ So the LCM of the given numbers is 2 x 177 x 1499 = 530646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/530646
Therefore, the GCF of Fractions 3504/354,5486/2998 is 2/530646
Least Common Multiple of 354,2998 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 354,2998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,2998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(354,2998) x common factors =2 x 1 = 2
LCM(354,2998) = ( 354 × 2998 ) / 2
LCM(354,2998) = 1061292 / 2
LCM(354,2998) = 530646
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3504/354, 5486/2998
1. What is the HCF of 3504,5486?
The HCF of 3504,5486 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 3504/354, 5486/2998?
Answer: GCF of Numerators as per given numbers 3504/354, 5486/2998 is
GCF of Numerators i.e. for 3504,5486 is 2
LCM of denominators i.e. for 354,2998 is 530646.
Thus, GCF of Fractions is 2/530646.Finally, GCF of Fractions for 3504/354, 5486/2998 is 2/530646.