How to Find GCF of 1010/991, 2368/8133?

GCF of 1010/991, 2368/8133

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 1010/991, 2368/8133 i.e 2/8059803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1010/991, 2368/8133.

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 1010/991,2368/8133?

Given fractions are 1010/991,2368/8133

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 1010/991,2368/8133, numerators are 1010,2368

Denominators are 991,8133

The GCF of 1010,2368 is 2 .

LCM of 991,8133 is 8059803.

The greatest common factor of 1010/991,2368/8133 = [GCF of 1010,2368]/[LCM of 991,8133]= 2/8059803

Therefore, the GCF of 1010/991,2368/8133 is 2/8059803.

Greatest Common Factor of 1010,2368

To find the highest common factor of 1010,2368, we have to find the factors of both numbers and list the highest common factor.

The factors of 1010 are 1, 2, 5, 10, 101, 202, 505, 1010

The factors of 2368 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368

The HCF of 1010,2368 is 2.

Lets's calculate GCF of 1010,2368

Greatest Common Factor (GCF) of 1010,2368 By Common Division

2	1010, 2368
	505, 1184

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

Greatest Common Factor of 1010,2368 By Matching Biggest Common Factor Method

Now, list down the factors of 1010

1,2,5,10,101,202,505,1010

Now, list down the factors of 2368

1,2,4,8,16,32,37,64,74,148,296,592,1184,2368

Greatest Common Factor

We found the factors 1010,2368 . The biggest common factor number is the GCF number.
So the greatest common factor 1010,2368 is 2.

Lets's calculate LCM of 991,8133

Lowest Common Multiple of 991,8133 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8059803

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8059803

Therefore, the GCF of Fractions 1010/991,2368/8133 is 2/8059803

Least Common Multiple of 991,8133 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 991,8133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,8133) = 1

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

GCF(991,8133) x common factors =1 x 1 = 1

LCM(991,8133) = ( 991 × 8133 ) / 1

LCM(991,8133) = 8059803 / 1

LCM(991,8133) = 8059803

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FAQs on GCF of Fractions of 1010/991, 2368/8133

1. What is the HCF of 1010,2368?

The HCF of 1010,2368 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 1010/991, 2368/8133?

Answer: GCF of Numerators as per given numbers 1010/991, 2368/8133 is

GCF of Numerators i.e. for 1010,2368 is 2

LCM of denominators i.e. for 991,8133 is 8059803.

Thus, GCF of Fractions is 2/8059803.Finally, GCF of Fractions for 1010/991, 2368/8133 is 2/8059803.