How to Find GCF of 2124/849, 4510/3749?

GCF of 2124/849, 4510/3749

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 2124/849, 4510/3749 i.e 2/3182901 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2124/849, 4510/3749.

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 2124/849,4510/3749?

Given fractions are 2124/849,4510/3749

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 2124/849,4510/3749, numerators are 2124,4510

Denominators are 849,3749

The GCF of 2124,4510 is 2 .

LCM of 849,3749 is 3182901.

The greatest common factor of 2124/849,4510/3749 = [GCF of 2124,4510]/[LCM of 849,3749]= 2/3182901

Therefore, the GCF of 2124/849,4510/3749 is 2/3182901.

Greatest Common Factor of 2124,4510

To find the highest common factor of 2124,4510, we have to find the factors of both numbers and list the highest common factor.

The factors of 2124 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124

The factors of 4510 are 1, 2, 5, 10, 11, 22, 41, 55, 82, 110, 205, 410, 451, 902, 2255, 4510

The HCF of 2124,4510 is 2.

Lets's calculate GCF of 2124,4510

Greatest Common Factor (GCF) of 2124,4510 By Common Division

2	2124, 4510
	1062, 2255

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2124,4510 By Matching Biggest Common Factor Method

Now, list down the factors of 2124

1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124

Now, list down the factors of 4510

1,2,5,10,11,22,41,55,82,110,205,410,451,902,2255,4510

Greatest Common Factor

We found the factors 2124,4510 . The biggest common factor number is the GCF number.
So the greatest common factor 2124,4510 is 2.

Lets's calculate LCM of 849,3749

Lowest Common Multiple of 849,3749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3182901

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3182901

Therefore, the GCF of Fractions 2124/849,4510/3749 is 2/3182901

Least Common Multiple of 849,3749 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 849,3749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,3749) = 1

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

GCF(849,3749) x common factors =1 x 1 = 1

LCM(849,3749) = ( 849 × 3749 ) / 1

LCM(849,3749) = 3182901 / 1

LCM(849,3749) = 3182901

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FAQs on GCF of Fractions of 2124/849, 4510/3749

1. What is the HCF of 2124,4510?

The HCF of 2124,4510 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 2124/849, 4510/3749?

Answer: GCF of Numerators as per given numbers 2124/849, 4510/3749 is

GCF of Numerators i.e. for 2124,4510 is 2

LCM of denominators i.e. for 849,3749 is 3182901.

Thus, GCF of Fractions is 2/3182901.Finally, GCF of Fractions for 2124/849, 4510/3749 is 2/3182901.