How to Find GCF of 788/605, 868/684?

GCF of 788/605, 868/684

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 788/605, 868/684 i.e 4/413820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 788/605, 868/684.

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 788/605,868/684?

Given fractions are 788/605,868/684

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 788/605,868/684, numerators are 788,868

Denominators are 605,684

The GCF of 788,868 is 4 .

LCM of 605,684 is 413820.

The greatest common factor of 788/605,868/684 = [GCF of 788,868]/[LCM of 605,684]= 4/413820

Therefore, the GCF of 788/605,868/684 is 4/413820.

Greatest Common Factor of 788,868

To find the highest common factor of 788,868, we have to find the factors of both numbers and list the highest common factor.

The factors of 788 are 1, 2, 4, 197, 394, 788

The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

The HCF of 788,868 is 4.

Lets's calculate GCF of 788,868

Greatest Common Factor (GCF) of 788,868 By Common Division

2	788, 868
2	394, 434
	197, 217

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 788,868 By Matching Biggest Common Factor Method

Now, list down the factors of 788

1,2,4,197,394,788

Now, list down the factors of 868

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 788,868 . The biggest common factor number is the GCF number.
So the greatest common factor 788,868 is 4.

Lets's calculate LCM of 605,684

Lowest Common Multiple of 605,684 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 413820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/413820

Therefore, the GCF of Fractions 788/605,868/684 is 4/413820

Least Common Multiple of 605,684 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 605,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,684) = 1

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

GCF(605,684) x common factors =1 x 1 = 1

LCM(605,684) = ( 605 × 684 ) / 1

LCM(605,684) = 413820 / 1

LCM(605,684) = 413820

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FAQs on GCF of Fractions of 788/605, 868/684

1. What is the HCF of 788,868?

The HCF of 788,868 is 4

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 788/605, 868/684?

Answer: GCF of Numerators as per given numbers 788/605, 868/684 is

GCF of Numerators i.e. for 788,868 is 4

LCM of denominators i.e. for 605,684 is 413820.

Thus, GCF of Fractions is 4/413820.Finally, GCF of Fractions for 788/605, 868/684 is 4/413820.