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GCF of 2804/742, 5512/7421

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 2804/742, 5512/7421 i.e 4/5506382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2804/742, 5512/7421.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2804/742,5512/7421?

Given fractions are 2804/742,5512/7421

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 2804/742,5512/7421, numerators are 2804,5512

Denominators are 742,7421

The GCF of 2804,5512 is 4 .

LCM of 742,7421 is 5506382.

The greatest common factor of 2804/742,5512/7421 = [GCF of 2804,5512]/[LCM of 742,7421]= 4/5506382

Therefore, the GCF of 2804/742,5512/7421 is 4/5506382.

Greatest Common Factor of 2804,5512

To find the highest common factor of 2804,5512, we have to find the factors of both numbers and list the highest common factor.

The factors of 2804 are 1, 2, 4, 701, 1402, 2804

The factors of 5512 are 1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512

The HCF of 2804,5512 is 4.

Lets's calculate GCF of 2804,5512

Greatest Common Factor (GCF) of 2804,5512 By Common Division

2 2804, 5512
2 1402, 2756
701, 1378

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

Greatest Common Factor of 2804,5512 By Matching Biggest Common Factor Method

Greatest Common Factor of 2804,5512 By Matching Biggest Common Factor Method

Now, list down the factors of 2804

:

1,2,4,701,1402,2804

Now, list down the factors of 5512

:

1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512

Greatest Common Factor

We found the factors 2804,5512 . The biggest common factor number is the GCF number.
So the greatest common factor 2804,5512 is 4.


Lets's calculate LCM of 742,7421

Lowest Common Multiple of 742,7421 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5506382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5506382

Therefore, the GCF of Fractions 2804/742,5512/7421 is 4/5506382

Least Common Multiple of 742,7421 with GCF Formula

Least Common Multiple of 742,7421 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 742,7421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,7421) = 1

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

GCF(742,7421) x common factors =1 x 1 = 1

LCM(742,7421) = ( 742 × 7421 ) / 1

LCM(742,7421) = 5506382 / 1

LCM(742,7421) = 5506382


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2804/742, 5512/7421

1. What is the HCF of 2804,5512?

The HCF of 2804,5512 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 2804/742, 5512/7421?

Answer: GCF of Numerators as per given numbers 2804/742, 5512/7421 is

GCF of Numerators i.e. for 2804,5512 is 4

LCM of denominators i.e. for 742,7421 is 5506382.

Thus, GCF of Fractions is 4/5506382.Finally, GCF of Fractions for 2804/742, 5512/7421 is 4/5506382.