How to Find GCF of 7071/199, 4390/788?

GCF of 7071/199, 4390/788

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 7071/199, 4390/788 i.e 1/156812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7071/199, 4390/788.

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 7071/199,4390/788?

Given fractions are 7071/199,4390/788

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 7071/199,4390/788, numerators are 7071,4390

Denominators are 199,788

The GCF of 7071,4390 is 1 .

LCM of 199,788 is 156812.

The greatest common factor of 7071/199,4390/788 = [GCF of 7071,4390]/[LCM of 199,788]= 1/156812

Therefore, the GCF of 7071/199,4390/788 is 1/156812.

Greatest Common Factor of 7071,4390

To find the highest common factor of 7071,4390, we have to find the factors of both numbers and list the highest common factor.

The factors of 7071 are 1, 3, 2357, 7071

The factors of 4390 are 1, 2, 5, 10, 439, 878, 2195, 4390

The HCF of 7071,4390 is 1.

Lets's calculate GCF of 7071,4390

Greatest Common Factor (GCF) of 7071,4390 By Common Division

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

Greatest Common Factor of 7071,4390 By Matching Biggest Common Factor Method

Now, list down the factors of 7071

1,3,2357,7071

Now, list down the factors of 4390

1,2,5,10,439,878,2195,4390

Greatest Common Factor

We found the factors 7071,4390 . The biggest common factor number is the GCF number.
So the greatest common factor 7071,4390 is 1.

Lets's calculate LCM of 199,788

Lowest Common Multiple of 199,788 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 156812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156812

Therefore, the GCF of Fractions 7071/199,4390/788 is 1/156812

Least Common Multiple of 199,788 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 199,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,788) = 1

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

GCF(199,788) x common factors =1 x 1 = 1

LCM(199,788) = ( 199 × 788 ) / 1

LCM(199,788) = 156812 / 1

LCM(199,788) = 156812

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FAQs on GCF of Fractions of 7071/199, 4390/788

1. What is the HCF of 7071,4390?

The HCF of 7071,4390 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 7071/199, 4390/788?

Answer: GCF of Numerators as per given numbers 7071/199, 4390/788 is

GCF of Numerators i.e. for 7071,4390 is 1

LCM of denominators i.e. for 199,788 is 156812.

Thus, GCF of Fractions is 1/156812.Finally, GCF of Fractions for 7071/199, 4390/788 is 1/156812.