How to Find GCF of 7804/768, 4259/356?

GCF of 7804/768, 4259/356

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 7804/768, 4259/356 i.e 1/68352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7804/768, 4259/356.

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 7804/768,4259/356?

Given fractions are 7804/768,4259/356

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 7804/768,4259/356, numerators are 7804,4259

Denominators are 768,356

The GCF of 7804,4259 is 1 .

LCM of 768,356 is 68352.

The greatest common factor of 7804/768,4259/356 = [GCF of 7804,4259]/[LCM of 768,356]= 1/68352

Therefore, the GCF of 7804/768,4259/356 is 1/68352.

Greatest Common Factor of 7804,4259

To find the highest common factor of 7804,4259, we have to find the factors of both numbers and list the highest common factor.

The factors of 7804 are 1, 2, 4, 1951, 3902, 7804

The factors of 4259 are 1, 4259

The HCF of 7804,4259 is 1.

Lets's calculate GCF of 7804,4259

Greatest Common Factor (GCF) of 7804,4259 By Common Division

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

Greatest Common Factor of 7804,4259 By Matching Biggest Common Factor Method

Now, list down the factors of 7804

1,2,4,1951,3902,7804

Now, list down the factors of 4259

1,4259

Greatest Common Factor

We found the factors 7804,4259 . The biggest common factor number is the GCF number.
So the greatest common factor 7804,4259 is 1.

Lets's calculate LCM of 768,356

Lowest Common Multiple of 768,356 using Common Division

2	768, 356
2	384, 178
	192, 89

∴ So the LCM of the given numbers is 2 x 2 x 192 x 89 = 68352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68352

Therefore, the GCF of Fractions 7804/768,4259/356 is 1/68352

Least Common Multiple of 768,356 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 768,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,356) = 4

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

GCF(768,356) x common factors =4 x 1 = 4

LCM(768,356) = ( 768 × 356 ) / 4

LCM(768,356) = 273408 / 4

LCM(768,356) = 68352

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FAQs on GCF of Fractions of 7804/768, 4259/356

1. What is the HCF of 7804,4259?

The HCF of 7804,4259 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 7804/768, 4259/356?

Answer: GCF of Numerators as per given numbers 7804/768, 4259/356 is

GCF of Numerators i.e. for 7804,4259 is 1

LCM of denominators i.e. for 768,356 is 68352.

Thus, GCF of Fractions is 1/68352.Finally, GCF of Fractions for 7804/768, 4259/356 is 1/68352.