How to Find GCF of 3352/144, 5126/2371?

GCF of 3352/144, 5126/2371

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 3352/144, 5126/2371 i.e 2/341424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3352/144, 5126/2371.

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 3352/144,5126/2371?

Given fractions are 3352/144,5126/2371

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 3352/144,5126/2371, numerators are 3352,5126

Denominators are 144,2371

The GCF of 3352,5126 is 2 .

LCM of 144,2371 is 341424.

The greatest common factor of 3352/144,5126/2371 = [GCF of 3352,5126]/[LCM of 144,2371]= 2/341424

Therefore, the GCF of 3352/144,5126/2371 is 2/341424.

Greatest Common Factor of 3352,5126

To find the highest common factor of 3352,5126, we have to find the factors of both numbers and list the highest common factor.

The factors of 3352 are 1, 2, 4, 8, 419, 838, 1676, 3352

The factors of 5126 are 1, 2, 11, 22, 233, 466, 2563, 5126

The HCF of 3352,5126 is 2.

Lets's calculate GCF of 3352,5126

Greatest Common Factor (GCF) of 3352,5126 By Common Division

2	3352, 5126
	1676, 2563

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

Greatest Common Factor of 3352,5126 By Matching Biggest Common Factor Method

Now, list down the factors of 3352

1,2,4,8,419,838,1676,3352

Now, list down the factors of 5126

1,2,11,22,233,466,2563,5126

Greatest Common Factor

We found the factors 3352,5126 . The biggest common factor number is the GCF number.
So the greatest common factor 3352,5126 is 2.

Lets's calculate LCM of 144,2371

Lowest Common Multiple of 144,2371 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 341424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/341424

Therefore, the GCF of Fractions 3352/144,5126/2371 is 2/341424

Least Common Multiple of 144,2371 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 144,2371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,2371) = 1

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

GCF(144,2371) x common factors =1 x 1 = 1

LCM(144,2371) = ( 144 × 2371 ) / 1

LCM(144,2371) = 341424 / 1

LCM(144,2371) = 341424

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FAQs on GCF of Fractions of 3352/144, 5126/2371

1. What is the HCF of 3352,5126?

The HCF of 3352,5126 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 3352/144, 5126/2371?

Answer: GCF of Numerators as per given numbers 3352/144, 5126/2371 is

GCF of Numerators i.e. for 3352,5126 is 2

LCM of denominators i.e. for 144,2371 is 341424.

Thus, GCF of Fractions is 2/341424.Finally, GCF of Fractions for 3352/144, 5126/2371 is 2/341424.