How to Find GCF of 5590/428, 2641/8640?

GCF of 5590/428, 2641/8640

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 5590/428, 2641/8640 i.e 1/924480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5590/428, 2641/8640.

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 5590/428,2641/8640?

Given fractions are 5590/428,2641/8640

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 5590/428,2641/8640, numerators are 5590,2641

Denominators are 428,8640

The GCF of 5590,2641 is 1 .

LCM of 428,8640 is 924480.

The greatest common factor of 5590/428,2641/8640 = [GCF of 5590,2641]/[LCM of 428,8640]= 1/924480

Therefore, the GCF of 5590/428,2641/8640 is 1/924480.

Greatest Common Factor of 5590,2641

To find the highest common factor of 5590,2641, we have to find the factors of both numbers and list the highest common factor.

The factors of 5590 are 1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795, 5590

The factors of 2641 are 1, 19, 139, 2641

The HCF of 5590,2641 is 1.

Lets's calculate GCF of 5590,2641

Greatest Common Factor (GCF) of 5590,2641 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5590,2641 By Matching Biggest Common Factor Method

Now, list down the factors of 5590

1,2,5,10,13,26,43,65,86,130,215,430,559,1118,2795,5590

Now, list down the factors of 2641

1,19,139,2641

Greatest Common Factor

We found the factors 5590,2641 . The biggest common factor number is the GCF number.
So the greatest common factor 5590,2641 is 1.

Lets's calculate LCM of 428,8640

Lowest Common Multiple of 428,8640 using Common Division

2	428, 8640
2	214, 4320
	107, 2160

∴ So the LCM of the given numbers is 2 x 2 x 107 x 2160 = 924480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/924480

Therefore, the GCF of Fractions 5590/428,2641/8640 is 1/924480

Least Common Multiple of 428,8640 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 428,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,8640) = 4

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

GCF(428,8640) x common factors =4 x 1 = 4

LCM(428,8640) = ( 428 × 8640 ) / 4

LCM(428,8640) = 3697920 / 4

LCM(428,8640) = 924480

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FAQs on GCF of Fractions of 5590/428, 2641/8640

1. What is the HCF of 5590,2641?

The HCF of 5590,2641 is 1

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 5590/428, 2641/8640?

Answer: GCF of Numerators as per given numbers 5590/428, 2641/8640 is

GCF of Numerators i.e. for 5590,2641 is 1

LCM of denominators i.e. for 428,8640 is 924480.

Thus, GCF of Fractions is 1/924480.Finally, GCF of Fractions for 5590/428, 2641/8640 is 1/924480.