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 451/20, 748/2229

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 451/20, 748/2229 i.e 11/44580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 451/20, 748/2229.

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 451/20,748/2229?

Given fractions are 451/20,748/2229

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 451/20,748/2229, numerators are 451,748

Denominators are 20,2229

The GCF of 451,748 is 11 .

LCM of 20,2229 is 44580.

The greatest common factor of 451/20,748/2229 = [GCF of 451,748]/[LCM of 20,2229]= 11/44580

Therefore, the GCF of 451/20,748/2229 is 11/44580.

Greatest Common Factor of 451,748

To find the highest common factor of 451,748, we have to find the factors of both numbers and list the highest common factor.

The factors of 451 are 1, 11, 41, 451

The factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

The HCF of 451,748 is 11.

Lets's calculate GCF of 451,748

Greatest Common Factor (GCF) of 451,748 By Common Division

11 451, 748
41, 68

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 451,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,748 By Matching Biggest Common Factor Method

Now, list down the factors of 451

:

1,11,41,451

Now, list down the factors of 748

:

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 451,748 . The biggest common factor number is the GCF number.
So the greatest common factor 451,748 is 11.

Lets's calculate LCM of 20,2229

Lowest Common Multiple of 20,2229 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 44580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/44580

Therefore, the GCF of Fractions 451/20,748/2229 is 11/44580

Least Common Multiple of 20,2229 with GCF Formula

Least Common Multiple of 20,2229 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 20,2229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,2229) = 1

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

GCF(20,2229) x common factors =1 x 1 = 1

LCM(20,2229) = ( 20 × 2229 ) / 1

LCM(20,2229) = 44580 / 1

LCM(20,2229) = 44580


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 451/20, 748/2229

1. What is the HCF of 451,748?

The HCF of 451,748 is 11

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 451/20, 748/2229?

Answer: GCF of Numerators as per given numbers 451/20, 748/2229 is

GCF of Numerators i.e. for 451,748 is 11

LCM of denominators i.e. for 20,2229 is 44580.

Thus, GCF of Fractions is 11/44580.Finally, GCF of Fractions for 451/20, 748/2229 is 11/44580.