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 3109/442, 3575/140

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 3109/442, 3575/140 i.e 1/30940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3109/442, 3575/140.

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 3109/442,3575/140?

Given fractions are 3109/442,3575/140

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 3109/442,3575/140, numerators are 3109,3575

Denominators are 442,140

The GCF of 3109,3575 is 1 .

LCM of 442,140 is 30940.

The greatest common factor of 3109/442,3575/140 = [GCF of 3109,3575]/[LCM of 442,140]= 1/30940

Therefore, the GCF of 3109/442,3575/140 is 1/30940.

Greatest Common Factor of 3109,3575

To find the highest common factor of 3109,3575, we have to find the factors of both numbers and list the highest common factor.

The factors of 3109 are 1, 3109

The factors of 3575 are 1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575

The HCF of 3109,3575 is 1.

Lets's calculate GCF of 3109,3575

Greatest Common Factor (GCF) of 3109,3575 By Common Division

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

Greatest Common Factor of 3109,3575 By Matching Biggest Common Factor Method

Greatest Common Factor of 3109,3575 By Matching Biggest Common Factor Method

Now, list down the factors of 3109

:

1,3109

Now, list down the factors of 3575

:

1,5,11,13,25,55,65,143,275,325,715,3575

Greatest Common Factor

We found the factors 3109,3575 . The biggest common factor number is the GCF number.
So the greatest common factor 3109,3575 is 1.

Lets's calculate LCM of 442,140

Lowest Common Multiple of 442,140 using Common Division

2 442, 140
221, 70

∴ So the LCM of the given numbers is 2 x 221 x 70 = 30940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30940

Therefore, the GCF of Fractions 3109/442,3575/140 is 1/30940

Least Common Multiple of 442,140 with GCF Formula

Least Common Multiple of 442,140 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 442,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,140) = 2

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

GCF(442,140) x common factors =2 x 1 = 2

LCM(442,140) = ( 442 × 140 ) / 2

LCM(442,140) = 61880 / 2

LCM(442,140) = 30940


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3109/442, 3575/140

1. What is the HCF of 3109,3575?

The HCF of 3109,3575 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 3109/442, 3575/140?

Answer: GCF of Numerators as per given numbers 3109/442, 3575/140 is

GCF of Numerators i.e. for 3109,3575 is 1

LCM of denominators i.e. for 442,140 is 30940.

Thus, GCF of Fractions is 1/30940.Finally, GCF of Fractions for 3109/442, 3575/140 is 1/30940.