How to Find GCF of 348/92, 800/5938?

GCF of 348/92, 800/5938

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 348/92, 800/5938 i.e 4/273148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/92, 800/5938.

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 348/92,800/5938?

Given fractions are 348/92,800/5938

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 348/92,800/5938, numerators are 348,800

Denominators are 92,5938

The GCF of 348,800 is 4 .

LCM of 92,5938 is 273148.

The greatest common factor of 348/92,800/5938 = [GCF of 348,800]/[LCM of 92,5938]= 4/273148

Therefore, the GCF of 348/92,800/5938 is 4/273148.

Greatest Common Factor of 348,800

To find the highest common factor of 348,800, we have to find the factors of both numbers and list the highest common factor.

The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

The factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

The HCF of 348,800 is 4.

Lets's calculate GCF of 348,800

Greatest Common Factor (GCF) of 348,800 By Common Division

2	348, 800
2	174, 400
	87, 200

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 348,800 By Matching Biggest Common Factor Method

Now, list down the factors of 348

1,2,3,4,6,12,29,58,87,116,174,348

Now, list down the factors of 800

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 348,800 . The biggest common factor number is the GCF number.
So the greatest common factor 348,800 is 4.

Lets's calculate LCM of 92,5938

Lowest Common Multiple of 92,5938 using Common Division

2	92, 5938
	46, 2969

∴ So the LCM of the given numbers is 2 x 46 x 2969 = 273148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/273148

Therefore, the GCF of Fractions 348/92,800/5938 is 4/273148

Least Common Multiple of 92,5938 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 92,5938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,5938) = 2

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

GCF(92,5938) x common factors =2 x 1 = 2

LCM(92,5938) = ( 92 × 5938 ) / 2

LCM(92,5938) = 546296 / 2

LCM(92,5938) = 273148

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 348/92, 800/5938

1. What is the HCF of 348,800?

The HCF of 348,800 is 4

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 348/92, 800/5938?

Answer: GCF of Numerators as per given numbers 348/92, 800/5938 is

GCF of Numerators i.e. for 348,800 is 4

LCM of denominators i.e. for 92,5938 is 273148.

Thus, GCF of Fractions is 4/273148.Finally, GCF of Fractions for 348/92, 800/5938 is 4/273148.