How to Find GCF of 664/788, 8178/401?

GCF of 664/788, 8178/401

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 664/788, 8178/401 i.e 2/315988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 664/788, 8178/401.

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 664/788,8178/401?

Given fractions are 664/788,8178/401

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 664/788,8178/401, numerators are 664,8178

Denominators are 788,401

The GCF of 664,8178 is 2 .

LCM of 788,401 is 315988.

The greatest common factor of 664/788,8178/401 = [GCF of 664,8178]/[LCM of 788,401]= 2/315988

Therefore, the GCF of 664/788,8178/401 is 2/315988.

Greatest Common Factor of 664,8178

To find the highest common factor of 664,8178, we have to find the factors of both numbers and list the highest common factor.

The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664

The factors of 8178 are 1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178

The HCF of 664,8178 is 2.

Lets's calculate GCF of 664,8178

Greatest Common Factor (GCF) of 664,8178 By Common Division

2	664, 8178
	332, 4089

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

Greatest Common Factor of 664,8178 By Matching Biggest Common Factor Method

Now, list down the factors of 664

1,2,4,8,83,166,332,664

Now, list down the factors of 8178

1,2,3,6,29,47,58,87,94,141,174,282,1363,2726,4089,8178

Greatest Common Factor

We found the factors 664,8178 . The biggest common factor number is the GCF number.
So the greatest common factor 664,8178 is 2.

Lets's calculate LCM of 788,401

Lowest Common Multiple of 788,401 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 315988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/315988

Therefore, the GCF of Fractions 664/788,8178/401 is 2/315988

Least Common Multiple of 788,401 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 788,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,401) = 1

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

GCF(788,401) x common factors =1 x 1 = 1

LCM(788,401) = ( 788 × 401 ) / 1

LCM(788,401) = 315988 / 1

LCM(788,401) = 315988

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FAQs on GCF of Fractions of 664/788, 8178/401

1. What is the HCF of 664,8178?

The HCF of 664,8178 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 664/788, 8178/401?

Answer: GCF of Numerators as per given numbers 664/788, 8178/401 is

GCF of Numerators i.e. for 664,8178 is 2

LCM of denominators i.e. for 788,401 is 315988.

Thus, GCF of Fractions is 2/315988.Finally, GCF of Fractions for 664/788, 8178/401 is 2/315988.