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GCF of 1169/346, 3867/2234

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 1169/346, 3867/2234 i.e 1/386482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1169/346, 3867/2234.

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 1169/346,3867/2234?

Given fractions are 1169/346,3867/2234

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 1169/346,3867/2234, numerators are 1169,3867

Denominators are 346,2234

The GCF of 1169,3867 is 1 .

LCM of 346,2234 is 386482.

The greatest common factor of 1169/346,3867/2234 = [GCF of 1169,3867]/[LCM of 346,2234]= 1/386482

Therefore, the GCF of 1169/346,3867/2234 is 1/386482.

Greatest Common Factor of 1169,3867

To find the highest common factor of 1169,3867, we have to find the factors of both numbers and list the highest common factor.

The factors of 1169 are 1, 7, 167, 1169

The factors of 3867 are 1, 3, 1289, 3867

The HCF of 1169,3867 is 1.

Lets's calculate GCF of 1169,3867

Greatest Common Factor (GCF) of 1169,3867 By Common Division

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

Greatest Common Factor of 1169,3867 By Matching Biggest Common Factor Method

Greatest Common Factor of 1169,3867 By Matching Biggest Common Factor Method

Now, list down the factors of 1169

:

1,7,167,1169

Now, list down the factors of 3867

:

1,3,1289,3867

Greatest Common Factor

We found the factors 1169,3867 . The biggest common factor number is the GCF number.
So the greatest common factor 1169,3867 is 1.


Lets's calculate LCM of 346,2234

Lowest Common Multiple of 346,2234 using Common Division

2 346, 2234
173, 1117

∴ So the LCM of the given numbers is 2 x 173 x 1117 = 386482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386482

Therefore, the GCF of Fractions 1169/346,3867/2234 is 1/386482

Least Common Multiple of 346,2234 with GCF Formula

Least Common Multiple of 346,2234 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 346,2234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,2234) = 2

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

GCF(346,2234) x common factors =2 x 1 = 2

LCM(346,2234) = ( 346 × 2234 ) / 2

LCM(346,2234) = 772964 / 2

LCM(346,2234) = 386482


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1169/346, 3867/2234

1. What is the HCF of 1169,3867?

The HCF of 1169,3867 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 1169/346, 3867/2234?

Answer: GCF of Numerators as per given numbers 1169/346, 3867/2234 is

GCF of Numerators i.e. for 1169,3867 is 1

LCM of denominators i.e. for 346,2234 is 386482.

Thus, GCF of Fractions is 1/386482.Finally, GCF of Fractions for 1169/346, 3867/2234 is 1/386482.