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 219/359, 103/140

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 219/359, 103/140 i.e 1/50260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 219/359, 103/140.

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 219/359,103/140?

Given fractions are 219/359,103/140

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 219/359,103/140, numerators are 219,103

Denominators are 359,140

The GCF of 219,103 is 1 .

LCM of 359,140 is 50260.

The greatest common factor of 219/359,103/140 = [GCF of 219,103]/[LCM of 359,140]= 1/50260

Therefore, the GCF of 219/359,103/140 is 1/50260.

Greatest Common Factor of 219,103

To find the highest common factor of 219,103, we have to find the factors of both numbers and list the highest common factor.

The factors of 219 are 1, 3, 73, 219

The factors of 103 are 1, 103

The HCF of 219,103 is 1.

Lets's calculate GCF of 219,103

Greatest Common Factor (GCF) of 219,103 By Common Division

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

Greatest Common Factor of 219,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,103 By Matching Biggest Common Factor Method

Now, list down the factors of 219

:

1,3,73,219

Now, list down the factors of 103

:

1,103

Greatest Common Factor

We found the factors 219,103 . The biggest common factor number is the GCF number.
So the greatest common factor 219,103 is 1.

Lets's calculate LCM of 359,140

Lowest Common Multiple of 359,140 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 50260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50260

Therefore, the GCF of Fractions 219/359,103/140 is 1/50260

Least Common Multiple of 359,140 with GCF Formula

Least Common Multiple of 359,140 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 359,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,140) = 1

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

GCF(359,140) x common factors =1 x 1 = 1

LCM(359,140) = ( 359 × 140 ) / 1

LCM(359,140) = 50260 / 1

LCM(359,140) = 50260


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 219/359, 103/140

1. What is the HCF of 219,103?

The HCF of 219,103 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 219/359, 103/140?

Answer: GCF of Numerators as per given numbers 219/359, 103/140 is

GCF of Numerators i.e. for 219,103 is 1

LCM of denominators i.e. for 359,140 is 50260.

Thus, GCF of Fractions is 1/50260.Finally, GCF of Fractions for 219/359, 103/140 is 1/50260.