How to Find GCF of 34/932, 4243/3288?

GCF of 34/932, 4243/3288

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 34/932, 4243/3288 i.e 1/766104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/932, 4243/3288.

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 34/932,4243/3288?

Given fractions are 34/932,4243/3288

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 34/932,4243/3288, numerators are 34,4243

Denominators are 932,3288

The GCF of 34,4243 is 1 .

LCM of 932,3288 is 766104.

The greatest common factor of 34/932,4243/3288 = [GCF of 34,4243]/[LCM of 932,3288]= 1/766104

Therefore, the GCF of 34/932,4243/3288 is 1/766104.

Greatest Common Factor of 34,4243

To find the highest common factor of 34,4243, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 4243 are 1, 4243

The HCF of 34,4243 is 1.

Lets's calculate GCF of 34,4243

Greatest Common Factor (GCF) of 34,4243 By Common Division

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

Greatest Common Factor of 34,4243 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 4243

1,4243

Greatest Common Factor

We found the factors 34,4243 . The biggest common factor number is the GCF number.
So the greatest common factor 34,4243 is 1.

Lets's calculate LCM of 932,3288

Lowest Common Multiple of 932,3288 using Common Division

2	932, 3288
2	466, 1644
	233, 822

∴ So the LCM of the given numbers is 2 x 2 x 233 x 822 = 766104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/766104

Therefore, the GCF of Fractions 34/932,4243/3288 is 1/766104

Least Common Multiple of 932,3288 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 932,3288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,3288) = 4

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

GCF(932,3288) x common factors =4 x 1 = 4

LCM(932,3288) = ( 932 × 3288 ) / 4

LCM(932,3288) = 3064416 / 4

LCM(932,3288) = 766104

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FAQs on GCF of Fractions of 34/932, 4243/3288

1. What is the HCF of 34,4243?

The HCF of 34,4243 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 34/932, 4243/3288?

Answer: GCF of Numerators as per given numbers 34/932, 4243/3288 is

GCF of Numerators i.e. for 34,4243 is 1

LCM of denominators i.e. for 932,3288 is 766104.

Thus, GCF of Fractions is 1/766104.Finally, GCF of Fractions for 34/932, 4243/3288 is 1/766104.