GCF of 5250/298, 3486/1804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5250/298, 3486/1804 i.e 42/268796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5250/298, 3486/1804.
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 5250/298,3486/1804?
Given fractions are 5250/298,3486/1804
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 5250/298,3486/1804, numerators are 5250,3486
Denominators are 298,1804
The GCF of 5250,3486 is 42 .
LCM of 298,1804 is 268796.
The greatest common factor of 5250/298,3486/1804 = [GCF of 5250,3486]/[LCM of 298,1804]= 42/268796
Therefore, the GCF of 5250/298,3486/1804 is 42/268796.
To find the highest common factor of 5250,3486, we have to find the factors of both numbers and list the highest common factor.
The factors of 5250 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250
The factors of 3486 are 1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486
The HCF of 5250,3486 is 42.
Lets's calculate GCF of 5250,3486
| 2 | 5250, 3486 |
| 3 | 2625, 1743 |
| 7 | 875, 581 |
| 125, 83 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 5250,3486 By Matching Biggest Common Factor Method
Now, list down the factors of 5250
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,125,150,175,210,250,350,375,525,750,875,1050,1750,2625,5250
Now, list down the factors of 3486
:1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486
Greatest Common Factor
We found the factors 5250,3486 . The biggest common factor number is the GCF number.
So the greatest common factor 5250,3486 is 42.
Lets's calculate LCM of 298,1804
| 2 | 298, 1804 |
| 149, 902 |
∴ So the LCM of the given numbers is 2 x 149 x 902 = 268796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/268796
Therefore, the GCF of Fractions 5250/298,3486/1804 is 42/268796
Least Common Multiple of 298,1804 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 298,1804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,1804) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,1804) x common factors =2 x 1 = 2
LCM(298,1804) = ( 298 × 1804 ) / 2
LCM(298,1804) = 537592 / 2
LCM(298,1804) = 268796
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FAQs on GCF of Fractions of 5250/298, 3486/1804
1. What is the HCF of 5250,3486?
The HCF of 5250,3486 is 42
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 5250/298, 3486/1804?
Answer: GCF of Numerators as per given numbers 5250/298, 3486/1804 is
GCF of Numerators i.e. for 5250,3486 is 42
LCM of denominators i.e. for 298,1804 is 268796.
Thus, GCF of Fractions is 42/268796.Finally, GCF of Fractions for 5250/298, 3486/1804 is 42/268796.