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GCF of 5099/603, 9122/4525

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 5099/603, 9122/4525 i.e 1/2728575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5099/603, 9122/4525.

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 5099/603,9122/4525?

Given fractions are 5099/603,9122/4525

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 5099/603,9122/4525, numerators are 5099,9122

Denominators are 603,4525

The GCF of 5099,9122 is 1 .

LCM of 603,4525 is 2728575.

The greatest common factor of 5099/603,9122/4525 = [GCF of 5099,9122]/[LCM of 603,4525]= 1/2728575

Therefore, the GCF of 5099/603,9122/4525 is 1/2728575.

Greatest Common Factor of 5099,9122

To find the highest common factor of 5099,9122, we have to find the factors of both numbers and list the highest common factor.

The factors of 5099 are 1, 5099

The factors of 9122 are 1, 2, 4561, 9122

The HCF of 5099,9122 is 1.

Lets's calculate GCF of 5099,9122

Greatest Common Factor (GCF) of 5099,9122 By Common Division

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

Greatest Common Factor of 5099,9122 By Matching Biggest Common Factor Method

Greatest Common Factor of 5099,9122 By Matching Biggest Common Factor Method

Now, list down the factors of 5099

:

1,5099

Now, list down the factors of 9122

:

1,2,4561,9122

Greatest Common Factor

We found the factors 5099,9122 . The biggest common factor number is the GCF number.
So the greatest common factor 5099,9122 is 1.

Lets's calculate LCM of 603,4525

Lowest Common Multiple of 603,4525 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2728575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2728575

Therefore, the GCF of Fractions 5099/603,9122/4525 is 1/2728575

Least Common Multiple of 603,4525 with GCF Formula

Least Common Multiple of 603,4525 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 603,4525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,4525) = 1

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

GCF(603,4525) x common factors =1 x 1 = 1

LCM(603,4525) = ( 603 × 4525 ) / 1

LCM(603,4525) = 2728575 / 1

LCM(603,4525) = 2728575


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5099/603, 9122/4525

1. What is the HCF of 5099,9122?

The HCF of 5099,9122 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 5099/603, 9122/4525?

Answer: GCF of Numerators as per given numbers 5099/603, 9122/4525 is

GCF of Numerators i.e. for 5099,9122 is 1

LCM of denominators i.e. for 603,4525 is 2728575.

Thus, GCF of Fractions is 1/2728575.Finally, GCF of Fractions for 5099/603, 9122/4525 is 1/2728575.