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 54/376, 4045/2252

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 54/376, 4045/2252 i.e 1/211688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/376, 4045/2252.

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 54/376,4045/2252?

Given fractions are 54/376,4045/2252

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 54/376,4045/2252, numerators are 54,4045

Denominators are 376,2252

The GCF of 54,4045 is 1 .

LCM of 376,2252 is 211688.

The greatest common factor of 54/376,4045/2252 = [GCF of 54,4045]/[LCM of 376,2252]= 1/211688

Therefore, the GCF of 54/376,4045/2252 is 1/211688.

Greatest Common Factor of 54,4045

To find the highest common factor of 54,4045, we have to find the factors of both numbers and list the highest common factor.

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 4045 are 1, 5, 809, 4045

The HCF of 54,4045 is 1.

Lets's calculate GCF of 54,4045

Greatest Common Factor (GCF) of 54,4045 By Common Division

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

Greatest Common Factor of 54,4045 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,4045 By Matching Biggest Common Factor Method

Now, list down the factors of 54

:

1,2,3,6,9,18,27,54

Now, list down the factors of 4045

:

1,5,809,4045

Greatest Common Factor

We found the factors 54,4045 . The biggest common factor number is the GCF number.
So the greatest common factor 54,4045 is 1.

Lets's calculate LCM of 376,2252

Lowest Common Multiple of 376,2252 using Common Division

2 376, 2252
2 188, 1126
94, 563

∴ So the LCM of the given numbers is 2 x 2 x 94 x 563 = 211688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211688

Therefore, the GCF of Fractions 54/376,4045/2252 is 1/211688

Least Common Multiple of 376,2252 with GCF Formula

Least Common Multiple of 376,2252 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 376,2252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,2252) = 4

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

GCF(376,2252) x common factors =4 x 1 = 4

LCM(376,2252) = ( 376 × 2252 ) / 4

LCM(376,2252) = 846752 / 4

LCM(376,2252) = 211688


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 54/376, 4045/2252

1. What is the HCF of 54,4045?

The HCF of 54,4045 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 54/376, 4045/2252?

Answer: GCF of Numerators as per given numbers 54/376, 4045/2252 is

GCF of Numerators i.e. for 54,4045 is 1

LCM of denominators i.e. for 376,2252 is 211688.

Thus, GCF of Fractions is 1/211688.Finally, GCF of Fractions for 54/376, 4045/2252 is 1/211688.