How to Find GCF of 204/778, 3296/699?

GCF of 204/778, 3296/699

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 204/778, 3296/699 i.e 4/543822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 204/778, 3296/699.

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 204/778,3296/699?

Given fractions are 204/778,3296/699

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 204/778,3296/699, numerators are 204,3296

Denominators are 778,699

The GCF of 204,3296 is 4 .

LCM of 778,699 is 543822.

The greatest common factor of 204/778,3296/699 = [GCF of 204,3296]/[LCM of 778,699]= 4/543822

Therefore, the GCF of 204/778,3296/699 is 4/543822.

Greatest Common Factor of 204,3296

To find the highest common factor of 204,3296, we have to find the factors of both numbers and list the highest common factor.

The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

The factors of 3296 are 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648, 3296

The HCF of 204,3296 is 4.

Lets's calculate GCF of 204,3296

Greatest Common Factor (GCF) of 204,3296 By Common Division

2	204, 3296
2	102, 1648
	51, 824

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

Greatest Common Factor of 204,3296 By Matching Biggest Common Factor Method

Now, list down the factors of 204

1,2,3,4,6,12,17,34,51,68,102,204

Now, list down the factors of 3296

1,2,4,8,16,32,103,206,412,824,1648,3296

Greatest Common Factor

We found the factors 204,3296 . The biggest common factor number is the GCF number.
So the greatest common factor 204,3296 is 4.

Lets's calculate LCM of 778,699

Lowest Common Multiple of 778,699 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 543822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/543822

Therefore, the GCF of Fractions 204/778,3296/699 is 4/543822

Least Common Multiple of 778,699 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 778,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,699) = 1

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

GCF(778,699) x common factors =1 x 1 = 1

LCM(778,699) = ( 778 × 699 ) / 1

LCM(778,699) = 543822 / 1

LCM(778,699) = 543822

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FAQs on GCF of Fractions of 204/778, 3296/699

1. What is the HCF of 204,3296?

The HCF of 204,3296 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 204/778, 3296/699?

Answer: GCF of Numerators as per given numbers 204/778, 3296/699 is

GCF of Numerators i.e. for 204,3296 is 4

LCM of denominators i.e. for 778,699 is 543822.

Thus, GCF of Fractions is 4/543822.Finally, GCF of Fractions for 204/778, 3296/699 is 4/543822.