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GCF of 5603/622, 2957/8544

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 5603/622, 2957/8544 i.e 1/2657184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5603/622, 2957/8544.

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 5603/622,2957/8544?

Given fractions are 5603/622,2957/8544

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 5603/622,2957/8544, numerators are 5603,2957

Denominators are 622,8544

The GCF of 5603,2957 is 1 .

LCM of 622,8544 is 2657184.

The greatest common factor of 5603/622,2957/8544 = [GCF of 5603,2957]/[LCM of 622,8544]= 1/2657184

Therefore, the GCF of 5603/622,2957/8544 is 1/2657184.

Greatest Common Factor of 5603,2957

To find the highest common factor of 5603,2957, we have to find the factors of both numbers and list the highest common factor.

The factors of 5603 are 1, 13, 431, 5603

The factors of 2957 are 1, 2957

The HCF of 5603,2957 is 1.

Lets's calculate GCF of 5603,2957

Greatest Common Factor (GCF) of 5603,2957 By Common Division

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

Greatest Common Factor of 5603,2957 By Matching Biggest Common Factor Method

Greatest Common Factor of 5603,2957 By Matching Biggest Common Factor Method

Now, list down the factors of 5603

:

1,13,431,5603

Now, list down the factors of 2957

:

1,2957

Greatest Common Factor

We found the factors 5603,2957 . The biggest common factor number is the GCF number.
So the greatest common factor 5603,2957 is 1.

Lets's calculate LCM of 622,8544

Lowest Common Multiple of 622,8544 using Common Division

2 622, 8544
311, 4272

∴ So the LCM of the given numbers is 2 x 311 x 4272 = 2657184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2657184

Therefore, the GCF of Fractions 5603/622,2957/8544 is 1/2657184

Least Common Multiple of 622,8544 with GCF Formula

Least Common Multiple of 622,8544 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 622,8544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,8544) = 2

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

GCF(622,8544) x common factors =2 x 1 = 2

LCM(622,8544) = ( 622 × 8544 ) / 2

LCM(622,8544) = 5314368 / 2

LCM(622,8544) = 2657184


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5603/622, 2957/8544

1. What is the HCF of 5603,2957?

The HCF of 5603,2957 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 5603/622, 2957/8544?

Answer: GCF of Numerators as per given numbers 5603/622, 2957/8544 is

GCF of Numerators i.e. for 5603,2957 is 1

LCM of denominators i.e. for 622,8544 is 2657184.

Thus, GCF of Fractions is 1/2657184.Finally, GCF of Fractions for 5603/622, 2957/8544 is 1/2657184.