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GCF of 5003/550, 7734/563

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 5003/550, 7734/563 i.e 1/309650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5003/550, 7734/563.

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 5003/550,7734/563?

Given fractions are 5003/550,7734/563

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 5003/550,7734/563, numerators are 5003,7734

Denominators are 550,563

The GCF of 5003,7734 is 1 .

LCM of 550,563 is 309650.

The greatest common factor of 5003/550,7734/563 = [GCF of 5003,7734]/[LCM of 550,563]= 1/309650

Therefore, the GCF of 5003/550,7734/563 is 1/309650.

Greatest Common Factor of 5003,7734

To find the highest common factor of 5003,7734, we have to find the factors of both numbers and list the highest common factor.

The factors of 5003 are 1, 5003

The factors of 7734 are 1, 2, 3, 6, 1289, 2578, 3867, 7734

The HCF of 5003,7734 is 1.

Lets's calculate GCF of 5003,7734

Greatest Common Factor (GCF) of 5003,7734 By Common Division

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

Greatest Common Factor of 5003,7734 By Matching Biggest Common Factor Method

Greatest Common Factor of 5003,7734 By Matching Biggest Common Factor Method

Now, list down the factors of 5003

:

1,5003

Now, list down the factors of 7734

:

1,2,3,6,1289,2578,3867,7734

Greatest Common Factor

We found the factors 5003,7734 . The biggest common factor number is the GCF number.
So the greatest common factor 5003,7734 is 1.

Lets's calculate LCM of 550,563

Lowest Common Multiple of 550,563 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 309650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309650

Therefore, the GCF of Fractions 5003/550,7734/563 is 1/309650

Least Common Multiple of 550,563 with GCF Formula

Least Common Multiple of 550,563 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 550,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,563) = 1

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

GCF(550,563) x common factors =1 x 1 = 1

LCM(550,563) = ( 550 × 563 ) / 1

LCM(550,563) = 309650 / 1

LCM(550,563) = 309650


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FAQs on GCF of Fractions of 5003/550, 7734/563

1. What is the HCF of 5003,7734?

The HCF of 5003,7734 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 5003/550, 7734/563?

Answer: GCF of Numerators as per given numbers 5003/550, 7734/563 is

GCF of Numerators i.e. for 5003,7734 is 1

LCM of denominators i.e. for 550,563 is 309650.

Thus, GCF of Fractions is 1/309650.Finally, GCF of Fractions for 5003/550, 7734/563 is 1/309650.