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GCF of 11/140, 7761/2806

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 11/140, 7761/2806 i.e 1/196420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/140, 7761/2806.

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 11/140,7761/2806?

Given fractions are 11/140,7761/2806

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 11/140,7761/2806, numerators are 11,7761

Denominators are 140,2806

The GCF of 11,7761 is 1 .

LCM of 140,2806 is 196420.

The greatest common factor of 11/140,7761/2806 = [GCF of 11,7761]/[LCM of 140,2806]= 1/196420

Therefore, the GCF of 11/140,7761/2806 is 1/196420.

Greatest Common Factor of 11,7761

To find the highest common factor of 11,7761, we have to find the factors of both numbers and list the highest common factor.

The factors of 11 are 1, 11

The factors of 7761 are 1, 3, 13, 39, 199, 597, 2587, 7761

The HCF of 11,7761 is 1.

Lets's calculate GCF of 11,7761

Greatest Common Factor (GCF) of 11,7761 By Common Division

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

Greatest Common Factor of 11,7761 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,7761 By Matching Biggest Common Factor Method

Now, list down the factors of 11

:

1,11

Now, list down the factors of 7761

:

1,3,13,39,199,597,2587,7761

Greatest Common Factor

We found the factors 11,7761 . The biggest common factor number is the GCF number.
So the greatest common factor 11,7761 is 1.

Lets's calculate LCM of 140,2806

Lowest Common Multiple of 140,2806 using Common Division

2 140, 2806
70, 1403

∴ So the LCM of the given numbers is 2 x 70 x 1403 = 196420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196420

Therefore, the GCF of Fractions 11/140,7761/2806 is 1/196420

Least Common Multiple of 140,2806 with GCF Formula

Least Common Multiple of 140,2806 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 140,2806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,2806) = 2

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

GCF(140,2806) x common factors =2 x 1 = 2

LCM(140,2806) = ( 140 × 2806 ) / 2

LCM(140,2806) = 392840 / 2

LCM(140,2806) = 196420


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FAQs on GCF of Fractions of 11/140, 7761/2806

1. What is the HCF of 11,7761?

The HCF of 11,7761 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 11/140, 7761/2806?

Answer: GCF of Numerators as per given numbers 11/140, 7761/2806 is

GCF of Numerators i.e. for 11,7761 is 1

LCM of denominators i.e. for 140,2806 is 196420.

Thus, GCF of Fractions is 1/196420.Finally, GCF of Fractions for 11/140, 7761/2806 is 1/196420.