How to Find GCF of 7904/293, 1832/5681?

GCF of 7904/293, 1832/5681

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 7904/293, 1832/5681 i.e 8/1664533 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7904/293, 1832/5681.

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 7904/293,1832/5681?

Given fractions are 7904/293,1832/5681

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 7904/293,1832/5681, numerators are 7904,1832

Denominators are 293,5681

The GCF of 7904,1832 is 8 .

LCM of 293,5681 is 1664533.

The greatest common factor of 7904/293,1832/5681 = [GCF of 7904,1832]/[LCM of 293,5681]= 8/1664533

Therefore, the GCF of 7904/293,1832/5681 is 8/1664533.

Greatest Common Factor of 7904,1832

To find the highest common factor of 7904,1832, we have to find the factors of both numbers and list the highest common factor.

The factors of 7904 are 1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 76, 104, 152, 208, 247, 304, 416, 494, 608, 988, 1976, 3952, 7904

The factors of 1832 are 1, 2, 4, 8, 229, 458, 916, 1832

The HCF of 7904,1832 is 8.

Lets's calculate GCF of 7904,1832

Greatest Common Factor (GCF) of 7904,1832 By Common Division

2	7904, 1832
2	3952, 916
2	1976, 458
	988, 229

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 7904,1832 By Matching Biggest Common Factor Method

Now, list down the factors of 7904

1,2,4,8,13,16,19,26,32,38,52,76,104,152,208,247,304,416,494,608,988,1976,3952,7904

Now, list down the factors of 1832

1,2,4,8,229,458,916,1832

Greatest Common Factor

We found the factors 7904,1832 . The biggest common factor number is the GCF number.
So the greatest common factor 7904,1832 is 8.

Lets's calculate LCM of 293,5681

Lowest Common Multiple of 293,5681 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1664533

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1664533

Therefore, the GCF of Fractions 7904/293,1832/5681 is 8/1664533

Least Common Multiple of 293,5681 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 293,5681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,5681) = 1

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

GCF(293,5681) x common factors =1 x 1 = 1

LCM(293,5681) = ( 293 × 5681 ) / 1

LCM(293,5681) = 1664533 / 1

LCM(293,5681) = 1664533

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7904/293, 1832/5681

1. What is the HCF of 7904,1832?

The HCF of 7904,1832 is 8

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 7904/293, 1832/5681?

Answer: GCF of Numerators as per given numbers 7904/293, 1832/5681 is

GCF of Numerators i.e. for 7904,1832 is 8

LCM of denominators i.e. for 293,5681 is 1664533.

Thus, GCF of Fractions is 8/1664533.Finally, GCF of Fractions for 7904/293, 1832/5681 is 8/1664533.