How to Find GCF of 2850/298, 5210/9482?

GCF of 2850/298, 5210/9482

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2850/298, 5210/9482 i.e 10/1412818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2850/298, 5210/9482.

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 2850/298,5210/9482?

Given fractions are 2850/298,5210/9482

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 2850/298,5210/9482, numerators are 2850,5210

Denominators are 298,9482

The GCF of 2850,5210 is 10 .

LCM of 298,9482 is 1412818.

The greatest common factor of 2850/298,5210/9482 = [GCF of 2850,5210]/[LCM of 298,9482]= 10/1412818

Therefore, the GCF of 2850/298,5210/9482 is 10/1412818.

Greatest Common Factor of 2850,5210

To find the highest common factor of 2850,5210, we have to find the factors of both numbers and list the highest common factor.

The factors of 2850 are 1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 150, 190, 285, 475, 570, 950, 1425, 2850

The factors of 5210 are 1, 2, 5, 10, 521, 1042, 2605, 5210

The HCF of 2850,5210 is 10.

Lets's calculate GCF of 2850,5210

Greatest Common Factor (GCF) of 2850,5210 By Common Division

2	2850, 5210
5	1425, 2605
	285, 521

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 2850,5210 By Matching Biggest Common Factor Method

Now, list down the factors of 2850

1,2,3,5,6,10,15,19,25,30,38,50,57,75,95,114,150,190,285,475,570,950,1425,2850

Now, list down the factors of 5210

1,2,5,10,521,1042,2605,5210

Greatest Common Factor

We found the factors 2850,5210 . The biggest common factor number is the GCF number.
So the greatest common factor 2850,5210 is 10.

Lets's calculate LCM of 298,9482

Lowest Common Multiple of 298,9482 using Common Division

2	298, 9482
	149, 4741

∴ So the LCM of the given numbers is 2 x 149 x 4741 = 1412818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1412818

Therefore, the GCF of Fractions 2850/298,5210/9482 is 10/1412818

Least Common Multiple of 298,9482 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 298,9482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,9482) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(298,9482) x common factors =2 x 1 = 2

LCM(298,9482) = ( 298 × 9482 ) / 2

LCM(298,9482) = 2825636 / 2

LCM(298,9482) = 1412818

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FAQs on GCF of Fractions of 2850/298, 5210/9482

1. What is the HCF of 2850,5210?

The HCF of 2850,5210 is 10

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 2850/298, 5210/9482?

Answer: GCF of Numerators as per given numbers 2850/298, 5210/9482 is

GCF of Numerators i.e. for 2850,5210 is 10

LCM of denominators i.e. for 298,9482 is 1412818.

Thus, GCF of Fractions is 10/1412818.Finally, GCF of Fractions for 2850/298, 5210/9482 is 10/1412818.