How to Find GCF of 988/893, 5802/1827?

GCF of 988/893, 5802/1827

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 988/893, 5802/1827 i.e 2/1631511 easily. The following is the detailed procedure to determine the greatest common factor of fractions 988/893, 5802/1827.

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 988/893,5802/1827?

Given fractions are 988/893,5802/1827

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 988/893,5802/1827, numerators are 988,5802

Denominators are 893,1827

The GCF of 988,5802 is 2 .

LCM of 893,1827 is 1631511.

The greatest common factor of 988/893,5802/1827 = [GCF of 988,5802]/[LCM of 893,1827]= 2/1631511

Therefore, the GCF of 988/893,5802/1827 is 2/1631511.

Greatest Common Factor of 988,5802

To find the highest common factor of 988,5802, we have to find the factors of both numbers and list the highest common factor.

The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

The factors of 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802

The HCF of 988,5802 is 2.

Lets's calculate GCF of 988,5802

Greatest Common Factor (GCF) of 988,5802 By Common Division

2	988, 5802
	494, 2901

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

Greatest Common Factor of 988,5802 By Matching Biggest Common Factor Method

Now, list down the factors of 988

1,2,4,13,19,26,38,52,76,247,494,988

Now, list down the factors of 5802

1,2,3,6,967,1934,2901,5802

Greatest Common Factor

We found the factors 988,5802 . The biggest common factor number is the GCF number.
So the greatest common factor 988,5802 is 2.

Lets's calculate LCM of 893,1827

Lowest Common Multiple of 893,1827 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1631511

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1631511

Therefore, the GCF of Fractions 988/893,5802/1827 is 2/1631511

Least Common Multiple of 893,1827 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 893,1827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,1827) = 1

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

GCF(893,1827) x common factors =1 x 1 = 1

LCM(893,1827) = ( 893 × 1827 ) / 1

LCM(893,1827) = 1631511 / 1

LCM(893,1827) = 1631511

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FAQs on GCF of Fractions of 988/893, 5802/1827

1. What is the HCF of 988,5802?

The HCF of 988,5802 is 2

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 988/893, 5802/1827?

Answer: GCF of Numerators as per given numbers 988/893, 5802/1827 is

GCF of Numerators i.e. for 988,5802 is 2

LCM of denominators i.e. for 893,1827 is 1631511.

Thus, GCF of Fractions is 2/1631511.Finally, GCF of Fractions for 988/893, 5802/1827 is 2/1631511.