How to Find GCF of 4139/696, 7412/422?

GCF of 4139/696, 7412/422

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 4139/696, 7412/422 i.e 1/146856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4139/696, 7412/422.

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 4139/696,7412/422?

Given fractions are 4139/696,7412/422

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 4139/696,7412/422, numerators are 4139,7412

Denominators are 696,422

The GCF of 4139,7412 is 1 .

LCM of 696,422 is 146856.

The greatest common factor of 4139/696,7412/422 = [GCF of 4139,7412]/[LCM of 696,422]= 1/146856

Therefore, the GCF of 4139/696,7412/422 is 1/146856.

Greatest Common Factor of 4139,7412

To find the highest common factor of 4139,7412, we have to find the factors of both numbers and list the highest common factor.

The factors of 4139 are 1, 4139

The factors of 7412 are 1, 2, 4, 17, 34, 68, 109, 218, 436, 1853, 3706, 7412

The HCF of 4139,7412 is 1.

Lets's calculate GCF of 4139,7412

Greatest Common Factor (GCF) of 4139,7412 By Common Division

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

Greatest Common Factor of 4139,7412 By Matching Biggest Common Factor Method

Now, list down the factors of 4139

1,4139

Now, list down the factors of 7412

1,2,4,17,34,68,109,218,436,1853,3706,7412

Greatest Common Factor

We found the factors 4139,7412 . The biggest common factor number is the GCF number.
So the greatest common factor 4139,7412 is 1.

Lets's calculate LCM of 696,422

Lowest Common Multiple of 696,422 using Common Division

2	696, 422
	348, 211

∴ So the LCM of the given numbers is 2 x 348 x 211 = 146856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146856

Therefore, the GCF of Fractions 4139/696,7412/422 is 1/146856

Least Common Multiple of 696,422 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 696,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,422) = 2

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

GCF(696,422) x common factors =2 x 1 = 2

LCM(696,422) = ( 696 × 422 ) / 2

LCM(696,422) = 293712 / 2

LCM(696,422) = 146856

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FAQs on GCF of Fractions of 4139/696, 7412/422

1. What is the HCF of 4139,7412?

The HCF of 4139,7412 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 4139/696, 7412/422?

Answer: GCF of Numerators as per given numbers 4139/696, 7412/422 is

GCF of Numerators i.e. for 4139,7412 is 1

LCM of denominators i.e. for 696,422 is 146856.

Thus, GCF of Fractions is 1/146856.Finally, GCF of Fractions for 4139/696, 7412/422 is 1/146856.