How to Find GCF of 4804/981, 5696/9083?

GCF of 4804/981, 5696/9083

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 4804/981, 5696/9083 i.e 4/8910423 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4804/981, 5696/9083.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4804/981,5696/9083?

Given fractions are 4804/981,5696/9083

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 4804/981,5696/9083, numerators are 4804,5696

Denominators are 981,9083

The GCF of 4804,5696 is 4 .

LCM of 981,9083 is 8910423.

The greatest common factor of 4804/981,5696/9083 = [GCF of 4804,5696]/[LCM of 981,9083]= 4/8910423

Therefore, the GCF of 4804/981,5696/9083 is 4/8910423.

Greatest Common Factor of 4804,5696

To find the highest common factor of 4804,5696, we have to find the factors of both numbers and list the highest common factor.

The factors of 4804 are 1, 2, 4, 1201, 2402, 4804

The factors of 5696 are 1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696

The HCF of 4804,5696 is 4.

Lets's calculate GCF of 4804,5696

Greatest Common Factor (GCF) of 4804,5696 By Common Division

2	4804, 5696
2	2402, 2848
	1201, 1424

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4804,5696 By Matching Biggest Common Factor Method

Now, list down the factors of 4804

1,2,4,1201,2402,4804

Now, list down the factors of 5696

1,2,4,8,16,32,64,89,178,356,712,1424,2848,5696

Greatest Common Factor

We found the factors 4804,5696 . The biggest common factor number is the GCF number.
So the greatest common factor 4804,5696 is 4.

Lets's calculate LCM of 981,9083

Lowest Common Multiple of 981,9083 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8910423

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8910423

Therefore, the GCF of Fractions 4804/981,5696/9083 is 4/8910423

Least Common Multiple of 981,9083 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 981,9083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,9083) = 1

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

GCF(981,9083) x common factors =1 x 1 = 1

LCM(981,9083) = ( 981 × 9083 ) / 1

LCM(981,9083) = 8910423 / 1

LCM(981,9083) = 8910423

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FAQs on GCF of Fractions of 4804/981, 5696/9083

1. What is the HCF of 4804,5696?

The HCF of 4804,5696 is 4

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 4804/981, 5696/9083?

Answer: GCF of Numerators as per given numbers 4804/981, 5696/9083 is

GCF of Numerators i.e. for 4804,5696 is 4

LCM of denominators i.e. for 981,9083 is 8910423.

Thus, GCF of Fractions is 4/8910423.Finally, GCF of Fractions for 4804/981, 5696/9083 is 4/8910423.