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GCF of 7099/210, 5221/4822

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 7099/210, 5221/4822 i.e 1/506310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7099/210, 5221/4822.

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 7099/210,5221/4822?

Given fractions are 7099/210,5221/4822

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 7099/210,5221/4822, numerators are 7099,5221

Denominators are 210,4822

The GCF of 7099,5221 is 1 .

LCM of 210,4822 is 506310.

The greatest common factor of 7099/210,5221/4822 = [GCF of 7099,5221]/[LCM of 210,4822]= 1/506310

Therefore, the GCF of 7099/210,5221/4822 is 1/506310.

Greatest Common Factor of 7099,5221

To find the highest common factor of 7099,5221, we have to find the factors of both numbers and list the highest common factor.

The factors of 7099 are 1, 31, 229, 7099

The factors of 5221 are 1, 23, 227, 5221

The HCF of 7099,5221 is 1.

Lets's calculate GCF of 7099,5221

Greatest Common Factor (GCF) of 7099,5221 By Common Division

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

Greatest Common Factor of 7099,5221 By Matching Biggest Common Factor Method

Greatest Common Factor of 7099,5221 By Matching Biggest Common Factor Method

Now, list down the factors of 7099

:

1,31,229,7099

Now, list down the factors of 5221

:

1,23,227,5221

Greatest Common Factor

We found the factors 7099,5221 . The biggest common factor number is the GCF number.
So the greatest common factor 7099,5221 is 1.

Lets's calculate LCM of 210,4822

Lowest Common Multiple of 210,4822 using Common Division

2 210, 4822
105, 2411

∴ So the LCM of the given numbers is 2 x 105 x 2411 = 506310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/506310

Therefore, the GCF of Fractions 7099/210,5221/4822 is 1/506310

Least Common Multiple of 210,4822 with GCF Formula

Least Common Multiple of 210,4822 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 210,4822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,4822) = 2

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

GCF(210,4822) x common factors =2 x 1 = 2

LCM(210,4822) = ( 210 × 4822 ) / 2

LCM(210,4822) = 1012620 / 2

LCM(210,4822) = 506310


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7099/210, 5221/4822

1. What is the HCF of 7099,5221?

The HCF of 7099,5221 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 7099/210, 5221/4822?

Answer: GCF of Numerators as per given numbers 7099/210, 5221/4822 is

GCF of Numerators i.e. for 7099,5221 is 1

LCM of denominators i.e. for 210,4822 is 506310.

Thus, GCF of Fractions is 1/506310.Finally, GCF of Fractions for 7099/210, 5221/4822 is 1/506310.