LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 1119/304, 3826/290

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 1119/304, 3826/290 i.e 1/44080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1119/304, 3826/290.

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 1119/304,3826/290?

Given fractions are 1119/304,3826/290

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 1119/304,3826/290, numerators are 1119,3826

Denominators are 304,290

The GCF of 1119,3826 is 1 .

LCM of 304,290 is 44080.

The greatest common factor of 1119/304,3826/290 = [GCF of 1119,3826]/[LCM of 304,290]= 1/44080

Therefore, the GCF of 1119/304,3826/290 is 1/44080.

Greatest Common Factor of 1119,3826

To find the highest common factor of 1119,3826, we have to find the factors of both numbers and list the highest common factor.

The factors of 1119 are 1, 3, 373, 1119

The factors of 3826 are 1, 2, 1913, 3826

The HCF of 1119,3826 is 1.

Lets's calculate GCF of 1119,3826

Greatest Common Factor (GCF) of 1119,3826 By Common Division

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

Greatest Common Factor of 1119,3826 By Matching Biggest Common Factor Method

Greatest Common Factor of 1119,3826 By Matching Biggest Common Factor Method

Now, list down the factors of 1119

:

1,3,373,1119

Now, list down the factors of 3826

:

1,2,1913,3826

Greatest Common Factor

We found the factors 1119,3826 . The biggest common factor number is the GCF number.
So the greatest common factor 1119,3826 is 1.

Lets's calculate LCM of 304,290

Lowest Common Multiple of 304,290 using Common Division

2 304, 290
152, 145

∴ So the LCM of the given numbers is 2 x 152 x 145 = 44080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44080

Therefore, the GCF of Fractions 1119/304,3826/290 is 1/44080

Least Common Multiple of 304,290 with GCF Formula

Least Common Multiple of 304,290 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 304,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,290) = 2

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

GCF(304,290) x common factors =2 x 1 = 2

LCM(304,290) = ( 304 × 290 ) / 2

LCM(304,290) = 88160 / 2

LCM(304,290) = 44080


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1119/304, 3826/290

1. What is the HCF of 1119,3826?

The HCF of 1119,3826 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 1119/304, 3826/290?

Answer: GCF of Numerators as per given numbers 1119/304, 3826/290 is

GCF of Numerators i.e. for 1119,3826 is 1

LCM of denominators i.e. for 304,290 is 44080.

Thus, GCF of Fractions is 1/44080.Finally, GCF of Fractions for 1119/304, 3826/290 is 1/44080.