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 46/318, 53/1042

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 46/318, 53/1042 i.e 1/165678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/318, 53/1042.

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 46/318,53/1042?

Given fractions are 46/318,53/1042

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 46/318,53/1042, numerators are 46,53

Denominators are 318,1042

The GCF of 46,53 is 1 .

LCM of 318,1042 is 165678.

The greatest common factor of 46/318,53/1042 = [GCF of 46,53]/[LCM of 318,1042]= 1/165678

Therefore, the GCF of 46/318,53/1042 is 1/165678.

Greatest Common Factor of 46,53

To find the highest common factor of 46,53, we have to find the factors of both numbers and list the highest common factor.

The factors of 46 are 1, 2, 23, 46

The factors of 53 are 1, 53

The HCF of 46,53 is 1.

Lets's calculate GCF of 46,53

Greatest Common Factor (GCF) of 46,53 By Common Division

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

Greatest Common Factor of 46,53 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,53 By Matching Biggest Common Factor Method

Now, list down the factors of 46

:

1,2,23,46

Now, list down the factors of 53

:

1,53

Greatest Common Factor

We found the factors 46,53 . The biggest common factor number is the GCF number.
So the greatest common factor 46,53 is 1.

Lets's calculate LCM of 318,1042

Lowest Common Multiple of 318,1042 using Common Division

2 318, 1042
159, 521

∴ So the LCM of the given numbers is 2 x 159 x 521 = 165678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165678

Therefore, the GCF of Fractions 46/318,53/1042 is 1/165678

Least Common Multiple of 318,1042 with GCF Formula

Least Common Multiple of 318,1042 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 318,1042 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,1042) = 2

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

GCF(318,1042) x common factors =2 x 1 = 2

LCM(318,1042) = ( 318 × 1042 ) / 2

LCM(318,1042) = 331356 / 2

LCM(318,1042) = 165678


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 46/318, 53/1042

1. What is the HCF of 46,53?

The HCF of 46,53 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 46/318, 53/1042?

Answer: GCF of Numerators as per given numbers 46/318, 53/1042 is

GCF of Numerators i.e. for 46,53 is 1

LCM of denominators i.e. for 318,1042 is 165678.

Thus, GCF of Fractions is 1/165678.Finally, GCF of Fractions for 46/318, 53/1042 is 1/165678.