How to Find GCF of 4070/694, 5792/6843?

GCF of 4070/694, 5792/6843

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 4070/694, 5792/6843 i.e 2/4749042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4070/694, 5792/6843.

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 4070/694,5792/6843?

Given fractions are 4070/694,5792/6843

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 4070/694,5792/6843, numerators are 4070,5792

Denominators are 694,6843

The GCF of 4070,5792 is 2 .

LCM of 694,6843 is 4749042.

The greatest common factor of 4070/694,5792/6843 = [GCF of 4070,5792]/[LCM of 694,6843]= 2/4749042

Therefore, the GCF of 4070/694,5792/6843 is 2/4749042.

Greatest Common Factor of 4070,5792

To find the highest common factor of 4070,5792, we have to find the factors of both numbers and list the highest common factor.

The factors of 4070 are 1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070

The factors of 5792 are 1, 2, 4, 8, 16, 32, 181, 362, 724, 1448, 2896, 5792

The HCF of 4070,5792 is 2.

Lets's calculate GCF of 4070,5792

Greatest Common Factor (GCF) of 4070,5792 By Common Division

2	4070, 5792
	2035, 2896

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

Greatest Common Factor of 4070,5792 By Matching Biggest Common Factor Method

Now, list down the factors of 4070

1,2,5,10,11,22,37,55,74,110,185,370,407,814,2035,4070

Now, list down the factors of 5792

1,2,4,8,16,32,181,362,724,1448,2896,5792

Greatest Common Factor

We found the factors 4070,5792 . The biggest common factor number is the GCF number.
So the greatest common factor 4070,5792 is 2.

Lets's calculate LCM of 694,6843

Lowest Common Multiple of 694,6843 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4749042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4749042

Therefore, the GCF of Fractions 4070/694,5792/6843 is 2/4749042

Least Common Multiple of 694,6843 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 694,6843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,6843) = 1

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

GCF(694,6843) x common factors =1 x 1 = 1

LCM(694,6843) = ( 694 × 6843 ) / 1

LCM(694,6843) = 4749042 / 1

LCM(694,6843) = 4749042

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4070/694, 5792/6843

1. What is the HCF of 4070,5792?

The HCF of 4070,5792 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 4070/694, 5792/6843?

Answer: GCF of Numerators as per given numbers 4070/694, 5792/6843 is

GCF of Numerators i.e. for 4070,5792 is 2

LCM of denominators i.e. for 694,6843 is 4749042.

Thus, GCF of Fractions is 2/4749042.Finally, GCF of Fractions for 4070/694, 5792/6843 is 2/4749042.