How to Find GCF of 5308/600, 1021/712?

GCF of 5308/600, 1021/712

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 5308/600, 1021/712 i.e 1/53400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5308/600, 1021/712.

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 5308/600,1021/712?

Given fractions are 5308/600,1021/712

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 5308/600,1021/712, numerators are 5308,1021

Denominators are 600,712

The GCF of 5308,1021 is 1 .

LCM of 600,712 is 53400.

The greatest common factor of 5308/600,1021/712 = [GCF of 5308,1021]/[LCM of 600,712]= 1/53400

Therefore, the GCF of 5308/600,1021/712 is 1/53400.

Greatest Common Factor of 5308,1021

To find the highest common factor of 5308,1021, we have to find the factors of both numbers and list the highest common factor.

The factors of 5308 are 1, 2, 4, 1327, 2654, 5308

The factors of 1021 are 1, 1021

The HCF of 5308,1021 is 1.

Lets's calculate GCF of 5308,1021

Greatest Common Factor (GCF) of 5308,1021 By Common Division

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

Greatest Common Factor of 5308,1021 By Matching Biggest Common Factor Method

Now, list down the factors of 5308

1,2,4,1327,2654,5308

Now, list down the factors of 1021

1,1021

Greatest Common Factor

We found the factors 5308,1021 . The biggest common factor number is the GCF number.
So the greatest common factor 5308,1021 is 1.

Lets's calculate LCM of 600,712

Lowest Common Multiple of 600,712 using Common Division

2	600, 712
2	300, 356
2	150, 178
	75, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 75 x 89 = 53400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53400

Therefore, the GCF of Fractions 5308/600,1021/712 is 1/53400

Least Common Multiple of 600,712 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 600,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,712) = 8

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

GCF(600,712) x common factors =8 x 1 = 8

LCM(600,712) = ( 600 × 712 ) / 8

LCM(600,712) = 427200 / 8

LCM(600,712) = 53400

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FAQs on GCF of Fractions of 5308/600, 1021/712

1. What is the HCF of 5308,1021?

The HCF of 5308,1021 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 5308/600, 1021/712?

Answer: GCF of Numerators as per given numbers 5308/600, 1021/712 is

GCF of Numerators i.e. for 5308,1021 is 1

LCM of denominators i.e. for 600,712 is 53400.

Thus, GCF of Fractions is 1/53400.Finally, GCF of Fractions for 5308/600, 1021/712 is 1/53400.