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GCF of 3076/837, 2161/1191

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 3076/837, 2161/1191 i.e 1/332289 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3076/837, 2161/1191.

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 3076/837,2161/1191?

Given fractions are 3076/837,2161/1191

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 3076/837,2161/1191, numerators are 3076,2161

Denominators are 837,1191

The GCF of 3076,2161 is 1 .

LCM of 837,1191 is 332289.

The greatest common factor of 3076/837,2161/1191 = [GCF of 3076,2161]/[LCM of 837,1191]= 1/332289

Therefore, the GCF of 3076/837,2161/1191 is 1/332289.

Greatest Common Factor of 3076,2161

To find the highest common factor of 3076,2161, we have to find the factors of both numbers and list the highest common factor.

The factors of 3076 are 1, 2, 4, 769, 1538, 3076

The factors of 2161 are 1, 2161

The HCF of 3076,2161 is 1.

Lets's calculate GCF of 3076,2161

Greatest Common Factor (GCF) of 3076,2161 By Common Division

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

Greatest Common Factor of 3076,2161 By Matching Biggest Common Factor Method

Greatest Common Factor of 3076,2161 By Matching Biggest Common Factor Method

Now, list down the factors of 3076

:

1,2,4,769,1538,3076

Now, list down the factors of 2161

:

1,2161

Greatest Common Factor

We found the factors 3076,2161 . The biggest common factor number is the GCF number.
So the greatest common factor 3076,2161 is 1.

Lets's calculate LCM of 837,1191

Lowest Common Multiple of 837,1191 using Common Division

3 837, 1191
279, 397

∴ So the LCM of the given numbers is 3 x 279 x 397 = 332289

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332289

Therefore, the GCF of Fractions 3076/837,2161/1191 is 1/332289

Least Common Multiple of 837,1191 with GCF Formula

Least Common Multiple of 837,1191 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 837,1191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,1191) = 3

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

GCF(837,1191) x common factors =3 x 1 = 3

LCM(837,1191) = ( 837 × 1191 ) / 3

LCM(837,1191) = 996867 / 3

LCM(837,1191) = 332289


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3076/837, 2161/1191

1. What is the HCF of 3076,2161?

The HCF of 3076,2161 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 3076/837, 2161/1191?

Answer: GCF of Numerators as per given numbers 3076/837, 2161/1191 is

GCF of Numerators i.e. for 3076,2161 is 1

LCM of denominators i.e. for 837,1191 is 332289.

Thus, GCF of Fractions is 1/332289.Finally, GCF of Fractions for 3076/837, 2161/1191 is 1/332289.