How to Find GCF of 2932/800, 1213/416?

GCF of 2932/800, 1213/416

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 2932/800, 1213/416 i.e 1/10400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2932/800, 1213/416.

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 2932/800,1213/416?

Given fractions are 2932/800,1213/416

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 2932/800,1213/416, numerators are 2932,1213

Denominators are 800,416

The GCF of 2932,1213 is 1 .

LCM of 800,416 is 10400.

The greatest common factor of 2932/800,1213/416 = [GCF of 2932,1213]/[LCM of 800,416]= 1/10400

Therefore, the GCF of 2932/800,1213/416 is 1/10400.

Greatest Common Factor of 2932,1213

To find the highest common factor of 2932,1213, we have to find the factors of both numbers and list the highest common factor.

The factors of 2932 are 1, 2, 4, 733, 1466, 2932

The factors of 1213 are 1, 1213

The HCF of 2932,1213 is 1.

Lets's calculate GCF of 2932,1213

Greatest Common Factor (GCF) of 2932,1213 By Common Division

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

Greatest Common Factor of 2932,1213 By Matching Biggest Common Factor Method

Now, list down the factors of 2932

1,2,4,733,1466,2932

Now, list down the factors of 1213

1,1213

Greatest Common Factor

We found the factors 2932,1213 . The biggest common factor number is the GCF number.
So the greatest common factor 2932,1213 is 1.

Lets's calculate LCM of 800,416

Lowest Common Multiple of 800,416 using Common Division

2	800, 416
2	400, 208
2	200, 104
2	100, 52
2	50, 26
	25, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 25 x 13 = 10400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10400

Therefore, the GCF of Fractions 2932/800,1213/416 is 1/10400

Least Common Multiple of 800,416 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 800,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,416) = 32

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

GCF(800,416) x common factors =32 x 1 = 32

LCM(800,416) = ( 800 × 416 ) / 32

LCM(800,416) = 332800 / 32

LCM(800,416) = 10400

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FAQs on GCF of Fractions of 2932/800, 1213/416

1. What is the HCF of 2932,1213?

The HCF of 2932,1213 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 2932/800, 1213/416?

Answer: GCF of Numerators as per given numbers 2932/800, 1213/416 is

GCF of Numerators i.e. for 2932,1213 is 1

LCM of denominators i.e. for 800,416 is 10400.

Thus, GCF of Fractions is 1/10400.Finally, GCF of Fractions for 2932/800, 1213/416 is 1/10400.