How to Find GCF of 1101/886, 4843/6720?

GCF of 1101/886, 4843/6720

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 1101/886, 4843/6720 i.e 1/2976960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1101/886, 4843/6720.

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 1101/886,4843/6720?

Given fractions are 1101/886,4843/6720

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 1101/886,4843/6720, numerators are 1101,4843

Denominators are 886,6720

The GCF of 1101,4843 is 1 .

LCM of 886,6720 is 2976960.

The greatest common factor of 1101/886,4843/6720 = [GCF of 1101,4843]/[LCM of 886,6720]= 1/2976960

Therefore, the GCF of 1101/886,4843/6720 is 1/2976960.

Greatest Common Factor of 1101,4843

To find the highest common factor of 1101,4843, we have to find the factors of both numbers and list the highest common factor.

The factors of 1101 are 1, 3, 367, 1101

The factors of 4843 are 1, 29, 167, 4843

The HCF of 1101,4843 is 1.

Lets's calculate GCF of 1101,4843

Greatest Common Factor (GCF) of 1101,4843 By Common Division

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

Greatest Common Factor of 1101,4843 By Matching Biggest Common Factor Method

Now, list down the factors of 1101

1,3,367,1101

Now, list down the factors of 4843

1,29,167,4843

Greatest Common Factor

We found the factors 1101,4843 . The biggest common factor number is the GCF number.
So the greatest common factor 1101,4843 is 1.

Lets's calculate LCM of 886,6720

Lowest Common Multiple of 886,6720 using Common Division

2	886, 6720
	443, 3360

∴ So the LCM of the given numbers is 2 x 443 x 3360 = 2976960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2976960

Therefore, the GCF of Fractions 1101/886,4843/6720 is 1/2976960

Least Common Multiple of 886,6720 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 886,6720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(886,6720) = 2

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

GCF(886,6720) x common factors =2 x 1 = 2

LCM(886,6720) = ( 886 × 6720 ) / 2

LCM(886,6720) = 5953920 / 2

LCM(886,6720) = 2976960

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FAQs on GCF of Fractions of 1101/886, 4843/6720

1. What is the HCF of 1101,4843?

The HCF of 1101,4843 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 1101/886, 4843/6720?

Answer: GCF of Numerators as per given numbers 1101/886, 4843/6720 is

GCF of Numerators i.e. for 1101,4843 is 1

LCM of denominators i.e. for 886,6720 is 2976960.

Thus, GCF of Fractions is 1/2976960.Finally, GCF of Fractions for 1101/886, 4843/6720 is 1/2976960.