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GCF of 5840/421, 3804/5787

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 5840/421, 3804/5787 i.e 4/2436327 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5840/421, 3804/5787.

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 5840/421,3804/5787?

Given fractions are 5840/421,3804/5787

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 5840/421,3804/5787, numerators are 5840,3804

Denominators are 421,5787

The GCF of 5840,3804 is 4 .

LCM of 421,5787 is 2436327.

The greatest common factor of 5840/421,3804/5787 = [GCF of 5840,3804]/[LCM of 421,5787]= 4/2436327

Therefore, the GCF of 5840/421,3804/5787 is 4/2436327.

Greatest Common Factor of 5840,3804

To find the highest common factor of 5840,3804, we have to find the factors of both numbers and list the highest common factor.

The factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840

The factors of 3804 are 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804

The HCF of 5840,3804 is 4.

Lets's calculate GCF of 5840,3804

Greatest Common Factor (GCF) of 5840,3804 By Common Division

2 5840, 3804
2 2920, 1902
1460, 951

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

Greatest Common Factor of 5840,3804 By Matching Biggest Common Factor Method

Greatest Common Factor of 5840,3804 By Matching Biggest Common Factor Method

Now, list down the factors of 5840

:

1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840

Now, list down the factors of 3804

:

1,2,3,4,6,12,317,634,951,1268,1902,3804

Greatest Common Factor

We found the factors 5840,3804 . The biggest common factor number is the GCF number.
So the greatest common factor 5840,3804 is 4.


Lets's calculate LCM of 421,5787

Lowest Common Multiple of 421,5787 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2436327

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2436327

Therefore, the GCF of Fractions 5840/421,3804/5787 is 4/2436327

Least Common Multiple of 421,5787 with GCF Formula

Least Common Multiple of 421,5787 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 421,5787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,5787) = 1

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

GCF(421,5787) x common factors =1 x 1 = 1

LCM(421,5787) = ( 421 × 5787 ) / 1

LCM(421,5787) = 2436327 / 1

LCM(421,5787) = 2436327


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5840/421, 3804/5787

1. What is the HCF of 5840,3804?

The HCF of 5840,3804 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 5840/421, 3804/5787?

Answer: GCF of Numerators as per given numbers 5840/421, 3804/5787 is

GCF of Numerators i.e. for 5840,3804 is 4

LCM of denominators i.e. for 421,5787 is 2436327.

Thus, GCF of Fractions is 4/2436327.Finally, GCF of Fractions for 5840/421, 3804/5787 is 4/2436327.