How to Find GCF of 394/792, 5352/712?

GCF of 394/792, 5352/712

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 394/792, 5352/712 i.e 2/70488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 394/792, 5352/712.

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 394/792,5352/712?

Given fractions are 394/792,5352/712

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 394/792,5352/712, numerators are 394,5352

Denominators are 792,712

The GCF of 394,5352 is 2 .

LCM of 792,712 is 70488.

The greatest common factor of 394/792,5352/712 = [GCF of 394,5352]/[LCM of 792,712]= 2/70488

Therefore, the GCF of 394/792,5352/712 is 2/70488.

Greatest Common Factor of 394,5352

To find the highest common factor of 394,5352, we have to find the factors of both numbers and list the highest common factor.

The factors of 394 are 1, 2, 197, 394

The factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352

The HCF of 394,5352 is 2.

Lets's calculate GCF of 394,5352

Greatest Common Factor (GCF) of 394,5352 By Common Division

2	394, 5352
	197, 2676

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

Greatest Common Factor of 394,5352 By Matching Biggest Common Factor Method

Now, list down the factors of 394

1,2,197,394

Now, list down the factors of 5352

1,2,3,4,6,8,12,24,223,446,669,892,1338,1784,2676,5352

Greatest Common Factor

We found the factors 394,5352 . The biggest common factor number is the GCF number.
So the greatest common factor 394,5352 is 2.

Lets's calculate LCM of 792,712

Lowest Common Multiple of 792,712 using Common Division

2	792, 712
2	396, 356
2	198, 178
	99, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 99 x 89 = 70488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70488

Therefore, the GCF of Fractions 394/792,5352/712 is 2/70488

Least Common Multiple of 792,712 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 792,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,712) = 8

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

GCF(792,712) x common factors =8 x 1 = 8

LCM(792,712) = ( 792 × 712 ) / 8

LCM(792,712) = 563904 / 8

LCM(792,712) = 70488

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FAQs on GCF of Fractions of 394/792, 5352/712

1. What is the HCF of 394,5352?

The HCF of 394,5352 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 394/792, 5352/712?

Answer: GCF of Numerators as per given numbers 394/792, 5352/712 is

GCF of Numerators i.e. for 394,5352 is 2

LCM of denominators i.e. for 792,712 is 70488.

Thus, GCF of Fractions is 2/70488.Finally, GCF of Fractions for 394/792, 5352/712 is 2/70488.