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GCF of 572/425, 214/886

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 572/425, 214/886 i.e 2/376550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 572/425, 214/886.

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 572/425,214/886?

Given fractions are 572/425,214/886

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 572/425,214/886, numerators are 572,214

Denominators are 425,886

The GCF of 572,214 is 2 .

LCM of 425,886 is 376550.

The greatest common factor of 572/425,214/886 = [GCF of 572,214]/[LCM of 425,886]= 2/376550

Therefore, the GCF of 572/425,214/886 is 2/376550.

Greatest Common Factor of 572,214

To find the highest common factor of 572,214, we have to find the factors of both numbers and list the highest common factor.

The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

The factors of 214 are 1, 2, 107, 214

The HCF of 572,214 is 2.

Lets's calculate GCF of 572,214

Greatest Common Factor (GCF) of 572,214 By Common Division

2 572, 214
286, 107

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

Greatest Common Factor of 572,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,214 By Matching Biggest Common Factor Method

Now, list down the factors of 572

:

1,2,4,11,13,22,26,44,52,143,286,572

Now, list down the factors of 214

:

1,2,107,214

Greatest Common Factor

We found the factors 572,214 . The biggest common factor number is the GCF number.
So the greatest common factor 572,214 is 2.

Lets's calculate LCM of 425,886

Lowest Common Multiple of 425,886 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 376550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/376550

Therefore, the GCF of Fractions 572/425,214/886 is 2/376550

Least Common Multiple of 425,886 with GCF Formula

Least Common Multiple of 425,886 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 425,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,886) = 1

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

GCF(425,886) x common factors =1 x 1 = 1

LCM(425,886) = ( 425 × 886 ) / 1

LCM(425,886) = 376550 / 1

LCM(425,886) = 376550


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FAQs on GCF of Fractions of 572/425, 214/886

1. What is the HCF of 572,214?

The HCF of 572,214 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 572/425, 214/886?

Answer: GCF of Numerators as per given numbers 572/425, 214/886 is

GCF of Numerators i.e. for 572,214 is 2

LCM of denominators i.e. for 425,886 is 376550.

Thus, GCF of Fractions is 2/376550.Finally, GCF of Fractions for 572/425, 214/886 is 2/376550.