How to Find GCF of 6551/724, 5885/978?

GCF of 6551/724, 5885/978

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 6551/724, 5885/978 i.e 1/354036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6551/724, 5885/978.

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 6551/724,5885/978?

Given fractions are 6551/724,5885/978

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 6551/724,5885/978, numerators are 6551,5885

Denominators are 724,978

The GCF of 6551,5885 is 1 .

LCM of 724,978 is 354036.

The greatest common factor of 6551/724,5885/978 = [GCF of 6551,5885]/[LCM of 724,978]= 1/354036

Therefore, the GCF of 6551/724,5885/978 is 1/354036.

Greatest Common Factor of 6551,5885

To find the highest common factor of 6551,5885, we have to find the factors of both numbers and list the highest common factor.

The factors of 6551 are 1, 6551

The factors of 5885 are 1, 5, 11, 55, 107, 535, 1177, 5885

The HCF of 6551,5885 is 1.

Lets's calculate GCF of 6551,5885

Greatest Common Factor (GCF) of 6551,5885 By Common Division

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

Greatest Common Factor of 6551,5885 By Matching Biggest Common Factor Method

Now, list down the factors of 6551

1,6551

Now, list down the factors of 5885

1,5,11,55,107,535,1177,5885

Greatest Common Factor

We found the factors 6551,5885 . The biggest common factor number is the GCF number.
So the greatest common factor 6551,5885 is 1.

Lets's calculate LCM of 724,978

Lowest Common Multiple of 724,978 using Common Division

2	724, 978
	362, 489

∴ So the LCM of the given numbers is 2 x 362 x 489 = 354036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/354036

Therefore, the GCF of Fractions 6551/724,5885/978 is 1/354036

Least Common Multiple of 724,978 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 724,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,978) = 2

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

GCF(724,978) x common factors =2 x 1 = 2

LCM(724,978) = ( 724 × 978 ) / 2

LCM(724,978) = 708072 / 2

LCM(724,978) = 354036

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FAQs on GCF of Fractions of 6551/724, 5885/978

1. What is the HCF of 6551,5885?

The HCF of 6551,5885 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 6551/724, 5885/978?

Answer: GCF of Numerators as per given numbers 6551/724, 5885/978 is

GCF of Numerators i.e. for 6551,5885 is 1

LCM of denominators i.e. for 724,978 is 354036.

Thus, GCF of Fractions is 1/354036.Finally, GCF of Fractions for 6551/724, 5885/978 is 1/354036.