How to Find GCF of 414/568, 926/624?

GCF of 414/568, 926/624

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 414/568, 926/624 i.e 2/44304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 414/568, 926/624.

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 414/568,926/624?

Given fractions are 414/568,926/624

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 414/568,926/624, numerators are 414,926

Denominators are 568,624

The GCF of 414,926 is 2 .

LCM of 568,624 is 44304.

The greatest common factor of 414/568,926/624 = [GCF of 414,926]/[LCM of 568,624]= 2/44304

Therefore, the GCF of 414/568,926/624 is 2/44304.

Greatest Common Factor of 414,926

To find the highest common factor of 414,926, we have to find the factors of both numbers and list the highest common factor.

The factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

The factors of 926 are 1, 2, 463, 926

The HCF of 414,926 is 2.

Lets's calculate GCF of 414,926

Greatest Common Factor (GCF) of 414,926 By Common Division

2	414, 926
	207, 463

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 414,926 By Matching Biggest Common Factor Method

Now, list down the factors of 414

1,2,3,6,9,18,23,46,69,138,207,414

Now, list down the factors of 926

1,2,463,926

Greatest Common Factor

We found the factors 414,926 . The biggest common factor number is the GCF number.
So the greatest common factor 414,926 is 2.

Lets's calculate LCM of 568,624

Lowest Common Multiple of 568,624 using Common Division

2	568, 624
2	284, 312
2	142, 156
	71, 78

∴ So the LCM of the given numbers is 2 x 2 x 2 x 71 x 78 = 44304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44304

Therefore, the GCF of Fractions 414/568,926/624 is 2/44304

Least Common Multiple of 568,624 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 568,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,624) = 8

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

GCF(568,624) x common factors =8 x 1 = 8

LCM(568,624) = ( 568 × 624 ) / 8

LCM(568,624) = 354432 / 8

LCM(568,624) = 44304

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 414/568, 926/624

1. What is the HCF of 414,926?

The HCF of 414,926 is 2

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 414/568, 926/624?

Answer: GCF of Numerators as per given numbers 414/568, 926/624 is

GCF of Numerators i.e. for 414,926 is 2

LCM of denominators i.e. for 568,624 is 44304.

Thus, GCF of Fractions is 2/44304.Finally, GCF of Fractions for 414/568, 926/624 is 2/44304.