How to Find GCF of 4070/429, 7064/4013?

GCF of 4070/429, 7064/4013

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 4070/429, 7064/4013 i.e 2/1721577 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4070/429, 7064/4013.

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 4070/429,7064/4013?

Given fractions are 4070/429,7064/4013

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 4070/429,7064/4013, numerators are 4070,7064

Denominators are 429,4013

The GCF of 4070,7064 is 2 .

LCM of 429,4013 is 1721577.

The greatest common factor of 4070/429,7064/4013 = [GCF of 4070,7064]/[LCM of 429,4013]= 2/1721577

Therefore, the GCF of 4070/429,7064/4013 is 2/1721577.

Greatest Common Factor of 4070,7064

To find the highest common factor of 4070,7064, 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 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064

The HCF of 4070,7064 is 2.

Lets's calculate GCF of 4070,7064

Greatest Common Factor (GCF) of 4070,7064 By Common Division

2	4070, 7064
	2035, 3532

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

Greatest Common Factor of 4070,7064 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 7064

1,2,4,8,883,1766,3532,7064

Greatest Common Factor

We found the factors 4070,7064 . The biggest common factor number is the GCF number.
So the greatest common factor 4070,7064 is 2.

Lets's calculate LCM of 429,4013

Lowest Common Multiple of 429,4013 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1721577

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1721577

Therefore, the GCF of Fractions 4070/429,7064/4013 is 2/1721577

Least Common Multiple of 429,4013 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 429,4013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,4013) = 1

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

GCF(429,4013) x common factors =1 x 1 = 1

LCM(429,4013) = ( 429 × 4013 ) / 1

LCM(429,4013) = 1721577 / 1

LCM(429,4013) = 1721577

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FAQs on GCF of Fractions of 4070/429, 7064/4013

1. What is the HCF of 4070,7064?

The HCF of 4070,7064 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 4070/429, 7064/4013?

Answer: GCF of Numerators as per given numbers 4070/429, 7064/4013 is

GCF of Numerators i.e. for 4070,7064 is 2

LCM of denominators i.e. for 429,4013 is 1721577.

Thus, GCF of Fractions is 2/1721577.Finally, GCF of Fractions for 4070/429, 7064/4013 is 2/1721577.