How to Find GCF of 754/457, 3224/890?

GCF of 754/457, 3224/890

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 754/457, 3224/890 i.e 26/406730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 754/457, 3224/890.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 754/457,3224/890?

Given fractions are 754/457,3224/890

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 754/457,3224/890, numerators are 754,3224

Denominators are 457,890

The GCF of 754,3224 is 26 .

LCM of 457,890 is 406730.

The greatest common factor of 754/457,3224/890 = [GCF of 754,3224]/[LCM of 457,890]= 26/406730

Therefore, the GCF of 754/457,3224/890 is 26/406730.

Greatest Common Factor of 754,3224

To find the highest common factor of 754,3224, we have to find the factors of both numbers and list the highest common factor.

The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754

The factors of 3224 are 1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224

The HCF of 754,3224 is 26.

Lets's calculate GCF of 754,3224

Greatest Common Factor (GCF) of 754,3224 By Common Division

2	754, 3224
13	377, 1612
	29, 124

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 754,3224 By Matching Biggest Common Factor Method

Now, list down the factors of 754

1,2,13,26,29,58,377,754

Now, list down the factors of 3224

1,2,4,8,13,26,31,52,62,104,124,248,403,806,1612,3224

Greatest Common Factor

We found the factors 754,3224 . The biggest common factor number is the GCF number.
So the greatest common factor 754,3224 is 26.

Lets's calculate LCM of 457,890

Lowest Common Multiple of 457,890 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 406730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/406730

Therefore, the GCF of Fractions 754/457,3224/890 is 26/406730

Least Common Multiple of 457,890 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 457,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,890) = 1

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

GCF(457,890) x common factors =1 x 1 = 1

LCM(457,890) = ( 457 × 890 ) / 1

LCM(457,890) = 406730 / 1

LCM(457,890) = 406730

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 754/457, 3224/890

1. What is the HCF of 754,3224?

The HCF of 754,3224 is 26

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 754/457, 3224/890?

Answer: GCF of Numerators as per given numbers 754/457, 3224/890 is

GCF of Numerators i.e. for 754,3224 is 26

LCM of denominators i.e. for 457,890 is 406730.

Thus, GCF of Fractions is 26/406730.Finally, GCF of Fractions for 754/457, 3224/890 is 26/406730.