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GCF of 30/807, 9903/7153

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 30/807, 9903/7153 i.e 3/5772471 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/807, 9903/7153.

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 30/807,9903/7153?

Given fractions are 30/807,9903/7153

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 30/807,9903/7153, numerators are 30,9903

Denominators are 807,7153

The GCF of 30,9903 is 3 .

LCM of 807,7153 is 5772471.

The greatest common factor of 30/807,9903/7153 = [GCF of 30,9903]/[LCM of 807,7153]= 3/5772471

Therefore, the GCF of 30/807,9903/7153 is 3/5772471.

Greatest Common Factor of 30,9903

To find the highest common factor of 30,9903, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 9903 are 1, 3, 3301, 9903

The HCF of 30,9903 is 3.

Lets's calculate GCF of 30,9903

Greatest Common Factor (GCF) of 30,9903 By Common Division

3 30, 9903
10, 3301

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 30,9903 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,9903 By Matching Biggest Common Factor Method

Now, list down the factors of 30

:

1,2,3,5,6,10,15,30

Now, list down the factors of 9903

:

1,3,3301,9903

Greatest Common Factor

We found the factors 30,9903 . The biggest common factor number is the GCF number.
So the greatest common factor 30,9903 is 3.

Lets's calculate LCM of 807,7153

Lowest Common Multiple of 807,7153 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5772471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5772471

Therefore, the GCF of Fractions 30/807,9903/7153 is 3/5772471

Least Common Multiple of 807,7153 with GCF Formula

Least Common Multiple of 807,7153 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 807,7153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,7153) = 1

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

GCF(807,7153) x common factors =1 x 1 = 1

LCM(807,7153) = ( 807 × 7153 ) / 1

LCM(807,7153) = 5772471 / 1

LCM(807,7153) = 5772471


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 30/807, 9903/7153

1. What is the HCF of 30,9903?

The HCF of 30,9903 is 3

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 30/807, 9903/7153?

Answer: GCF of Numerators as per given numbers 30/807, 9903/7153 is

GCF of Numerators i.e. for 30,9903 is 3

LCM of denominators i.e. for 807,7153 is 5772471.

Thus, GCF of Fractions is 3/5772471.Finally, GCF of Fractions for 30/807, 9903/7153 is 3/5772471.