How to Find GCF of 4700/792, 7403/296?

GCF of 4700/792, 7403/296

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 4700/792, 7403/296 i.e 1/29304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4700/792, 7403/296.

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 4700/792,7403/296?

Given fractions are 4700/792,7403/296

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 4700/792,7403/296, numerators are 4700,7403

Denominators are 792,296

The GCF of 4700,7403 is 1 .

LCM of 792,296 is 29304.

The greatest common factor of 4700/792,7403/296 = [GCF of 4700,7403]/[LCM of 792,296]= 1/29304

Therefore, the GCF of 4700/792,7403/296 is 1/29304.

Greatest Common Factor of 4700,7403

To find the highest common factor of 4700,7403, we have to find the factors of both numbers and list the highest common factor.

The factors of 4700 are 1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700

The factors of 7403 are 1, 11, 673, 7403

The HCF of 4700,7403 is 1.

Lets's calculate GCF of 4700,7403

Greatest Common Factor (GCF) of 4700,7403 By Common Division

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

Greatest Common Factor of 4700,7403 By Matching Biggest Common Factor Method

Now, list down the factors of 4700

1,2,4,5,10,20,25,47,50,94,100,188,235,470,940,1175,2350,4700

Now, list down the factors of 7403

1,11,673,7403

Greatest Common Factor

We found the factors 4700,7403 . The biggest common factor number is the GCF number.
So the greatest common factor 4700,7403 is 1.

Lets's calculate LCM of 792,296

Lowest Common Multiple of 792,296 using Common Division

2	792, 296
2	396, 148
2	198, 74
	99, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 99 x 37 = 29304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29304

Therefore, the GCF of Fractions 4700/792,7403/296 is 1/29304

Least Common Multiple of 792,296 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 792,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,296) = 8

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

GCF(792,296) x common factors =8 x 1 = 8

LCM(792,296) = ( 792 × 296 ) / 8

LCM(792,296) = 234432 / 8

LCM(792,296) = 29304

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FAQs on GCF of Fractions of 4700/792, 7403/296

1. What is the HCF of 4700,7403?

The HCF of 4700,7403 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 4700/792, 7403/296?

Answer: GCF of Numerators as per given numbers 4700/792, 7403/296 is

GCF of Numerators i.e. for 4700,7403 is 1

LCM of denominators i.e. for 792,296 is 29304.

Thus, GCF of Fractions is 1/29304.Finally, GCF of Fractions for 4700/792, 7403/296 is 1/29304.