How to Find GCF of 5210/712, 1433/3048?

GCF of 5210/712, 1433/3048

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 5210/712, 1433/3048 i.e 1/271272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5210/712, 1433/3048.

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 5210/712,1433/3048?

Given fractions are 5210/712,1433/3048

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 5210/712,1433/3048, numerators are 5210,1433

Denominators are 712,3048

The GCF of 5210,1433 is 1 .

LCM of 712,3048 is 271272.

The greatest common factor of 5210/712,1433/3048 = [GCF of 5210,1433]/[LCM of 712,3048]= 1/271272

Therefore, the GCF of 5210/712,1433/3048 is 1/271272.

Greatest Common Factor of 5210,1433

To find the highest common factor of 5210,1433, we have to find the factors of both numbers and list the highest common factor.

The factors of 5210 are 1, 2, 5, 10, 521, 1042, 2605, 5210

The factors of 1433 are 1, 1433

The HCF of 5210,1433 is 1.

Lets's calculate GCF of 5210,1433

Greatest Common Factor (GCF) of 5210,1433 By Common Division

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

Greatest Common Factor of 5210,1433 By Matching Biggest Common Factor Method

Now, list down the factors of 5210

1,2,5,10,521,1042,2605,5210

Now, list down the factors of 1433

1,1433

Greatest Common Factor

We found the factors 5210,1433 . The biggest common factor number is the GCF number.
So the greatest common factor 5210,1433 is 1.

Lets's calculate LCM of 712,3048

Lowest Common Multiple of 712,3048 using Common Division

2	712, 3048
2	356, 1524
2	178, 762
	89, 381

∴ So the LCM of the given numbers is 2 x 2 x 2 x 89 x 381 = 271272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271272

Therefore, the GCF of Fractions 5210/712,1433/3048 is 1/271272

Least Common Multiple of 712,3048 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 712,3048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,3048) = 8

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

GCF(712,3048) x common factors =8 x 1 = 8

LCM(712,3048) = ( 712 × 3048 ) / 8

LCM(712,3048) = 2170176 / 8

LCM(712,3048) = 271272

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FAQs on GCF of Fractions of 5210/712, 1433/3048

1. What is the HCF of 5210,1433?

The HCF of 5210,1433 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 5210/712, 1433/3048?

Answer: GCF of Numerators as per given numbers 5210/712, 1433/3048 is

GCF of Numerators i.e. for 5210,1433 is 1

LCM of denominators i.e. for 712,3048 is 271272.

Thus, GCF of Fractions is 1/271272.Finally, GCF of Fractions for 5210/712, 1433/3048 is 1/271272.