How to Find GCF of 1392/927, 1133/650?

GCF of 1392/927, 1133/650

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 1392/927, 1133/650 i.e 1/602550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1392/927, 1133/650.

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 1392/927,1133/650?

Given fractions are 1392/927,1133/650

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 1392/927,1133/650, numerators are 1392,1133

Denominators are 927,650

The GCF of 1392,1133 is 1 .

LCM of 927,650 is 602550.

The greatest common factor of 1392/927,1133/650 = [GCF of 1392,1133]/[LCM of 927,650]= 1/602550

Therefore, the GCF of 1392/927,1133/650 is 1/602550.

Greatest Common Factor of 1392,1133

To find the highest common factor of 1392,1133, we have to find the factors of both numbers and list the highest common factor.

The factors of 1392 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392

The factors of 1133 are 1, 11, 103, 1133

The HCF of 1392,1133 is 1.

Lets's calculate GCF of 1392,1133

Greatest Common Factor (GCF) of 1392,1133 By Common Division

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

Greatest Common Factor of 1392,1133 By Matching Biggest Common Factor Method

Now, list down the factors of 1392

1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,232,348,464,696,1392

Now, list down the factors of 1133

1,11,103,1133

Greatest Common Factor

We found the factors 1392,1133 . The biggest common factor number is the GCF number.
So the greatest common factor 1392,1133 is 1.

Lets's calculate LCM of 927,650

Lowest Common Multiple of 927,650 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 602550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/602550

Therefore, the GCF of Fractions 1392/927,1133/650 is 1/602550

Least Common Multiple of 927,650 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 927,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,650) = 1

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

GCF(927,650) x common factors =1 x 1 = 1

LCM(927,650) = ( 927 × 650 ) / 1

LCM(927,650) = 602550 / 1

LCM(927,650) = 602550

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FAQs on GCF of Fractions of 1392/927, 1133/650

1. What is the HCF of 1392,1133?

The HCF of 1392,1133 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 1392/927, 1133/650?

Answer: GCF of Numerators as per given numbers 1392/927, 1133/650 is

GCF of Numerators i.e. for 1392,1133 is 1

LCM of denominators i.e. for 927,650 is 602550.

Thus, GCF of Fractions is 1/602550.Finally, GCF of Fractions for 1392/927, 1133/650 is 1/602550.