How to Find GCF of 3348/127, 5788/6322?

GCF of 3348/127, 5788/6322

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 3348/127, 5788/6322 i.e 4/802894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3348/127, 5788/6322.

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 3348/127,5788/6322?

Given fractions are 3348/127,5788/6322

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 3348/127,5788/6322, numerators are 3348,5788

Denominators are 127,6322

The GCF of 3348,5788 is 4 .

LCM of 127,6322 is 802894.

The greatest common factor of 3348/127,5788/6322 = [GCF of 3348,5788]/[LCM of 127,6322]= 4/802894

Therefore, the GCF of 3348/127,5788/6322 is 4/802894.

Greatest Common Factor of 3348,5788

To find the highest common factor of 3348,5788, we have to find the factors of both numbers and list the highest common factor.

The factors of 3348 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674, 3348

The factors of 5788 are 1, 2, 4, 1447, 2894, 5788

The HCF of 3348,5788 is 4.

Lets's calculate GCF of 3348,5788

Greatest Common Factor (GCF) of 3348,5788 By Common Division

2	3348, 5788
2	1674, 2894
	837, 1447

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3348,5788 By Matching Biggest Common Factor Method

Now, list down the factors of 3348

1,2,3,4,6,9,12,18,27,31,36,54,62,93,108,124,186,279,372,558,837,1116,1674,3348

Now, list down the factors of 5788

1,2,4,1447,2894,5788

Greatest Common Factor

We found the factors 3348,5788 . The biggest common factor number is the GCF number.
So the greatest common factor 3348,5788 is 4.

Lets's calculate LCM of 127,6322

Lowest Common Multiple of 127,6322 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 802894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/802894

Therefore, the GCF of Fractions 3348/127,5788/6322 is 4/802894

Least Common Multiple of 127,6322 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 127,6322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,6322) = 1

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

GCF(127,6322) x common factors =1 x 1 = 1

LCM(127,6322) = ( 127 × 6322 ) / 1

LCM(127,6322) = 802894 / 1

LCM(127,6322) = 802894

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3348/127, 5788/6322

1. What is the HCF of 3348,5788?

The HCF of 3348,5788 is 4

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 3348/127, 5788/6322?

Answer: GCF of Numerators as per given numbers 3348/127, 5788/6322 is

GCF of Numerators i.e. for 3348,5788 is 4

LCM of denominators i.e. for 127,6322 is 802894.

Thus, GCF of Fractions is 4/802894.Finally, GCF of Fractions for 3348/127, 5788/6322 is 4/802894.