How to Find GCF of 7792/288, 4355/8360?

GCF of 7792/288, 4355/8360

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 7792/288, 4355/8360 i.e 1/300960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7792/288, 4355/8360.

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 7792/288,4355/8360?

Given fractions are 7792/288,4355/8360

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 7792/288,4355/8360, numerators are 7792,4355

Denominators are 288,8360

The GCF of 7792,4355 is 1 .

LCM of 288,8360 is 300960.

The greatest common factor of 7792/288,4355/8360 = [GCF of 7792,4355]/[LCM of 288,8360]= 1/300960

Therefore, the GCF of 7792/288,4355/8360 is 1/300960.

Greatest Common Factor of 7792,4355

To find the highest common factor of 7792,4355, we have to find the factors of both numbers and list the highest common factor.

The factors of 7792 are 1, 2, 4, 8, 16, 487, 974, 1948, 3896, 7792

The factors of 4355 are 1, 5, 13, 65, 67, 335, 871, 4355

The HCF of 7792,4355 is 1.

Lets's calculate GCF of 7792,4355

Greatest Common Factor (GCF) of 7792,4355 By Common Division

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

Greatest Common Factor of 7792,4355 By Matching Biggest Common Factor Method

Now, list down the factors of 7792

1,2,4,8,16,487,974,1948,3896,7792

Now, list down the factors of 4355

1,5,13,65,67,335,871,4355

Greatest Common Factor

We found the factors 7792,4355 . The biggest common factor number is the GCF number.
So the greatest common factor 7792,4355 is 1.

Lets's calculate LCM of 288,8360

Lowest Common Multiple of 288,8360 using Common Division

2	288, 8360
2	144, 4180
2	72, 2090
	36, 1045

∴ So the LCM of the given numbers is 2 x 2 x 2 x 36 x 1045 = 300960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300960

Therefore, the GCF of Fractions 7792/288,4355/8360 is 1/300960

Least Common Multiple of 288,8360 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 288,8360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,8360) = 8

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

GCF(288,8360) x common factors =8 x 1 = 8

LCM(288,8360) = ( 288 × 8360 ) / 8

LCM(288,8360) = 2407680 / 8

LCM(288,8360) = 300960

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7792/288, 4355/8360

1. What is the HCF of 7792,4355?

The HCF of 7792,4355 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 7792/288, 4355/8360?

Answer: GCF of Numerators as per given numbers 7792/288, 4355/8360 is

GCF of Numerators i.e. for 7792,4355 is 1

LCM of denominators i.e. for 288,8360 is 300960.

Thus, GCF of Fractions is 1/300960.Finally, GCF of Fractions for 7792/288, 4355/8360 is 1/300960.