How to Find GCF of 5788/678, 1301/8826?

GCF of 5788/678, 1301/8826

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 5788/678, 1301/8826 i.e 1/997338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5788/678, 1301/8826.

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 5788/678,1301/8826?

Given fractions are 5788/678,1301/8826

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 5788/678,1301/8826, numerators are 5788,1301

Denominators are 678,8826

The GCF of 5788,1301 is 1 .

LCM of 678,8826 is 997338.

The greatest common factor of 5788/678,1301/8826 = [GCF of 5788,1301]/[LCM of 678,8826]= 1/997338

Therefore, the GCF of 5788/678,1301/8826 is 1/997338.

Greatest Common Factor of 5788,1301

To find the highest common factor of 5788,1301, we have to find the factors of both numbers and list the highest common factor.

The factors of 5788 are 1, 2, 4, 1447, 2894, 5788

The factors of 1301 are 1, 1301

The HCF of 5788,1301 is 1.

Lets's calculate GCF of 5788,1301

Greatest Common Factor (GCF) of 5788,1301 By Common Division

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

Greatest Common Factor of 5788,1301 By Matching Biggest Common Factor Method

Now, list down the factors of 5788

1,2,4,1447,2894,5788

Now, list down the factors of 1301

1,1301

Greatest Common Factor

We found the factors 5788,1301 . The biggest common factor number is the GCF number.
So the greatest common factor 5788,1301 is 1.

Lets's calculate LCM of 678,8826

Lowest Common Multiple of 678,8826 using Common Division

2	678, 8826
3	339, 4413
	113, 1471

∴ So the LCM of the given numbers is 2 x 3 x 113 x 1471 = 997338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/997338

Therefore, the GCF of Fractions 5788/678,1301/8826 is 1/997338

Least Common Multiple of 678,8826 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 678,8826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,8826) = 6

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

GCF(678,8826) x common factors =6 x 1 = 6

LCM(678,8826) = ( 678 × 8826 ) / 6

LCM(678,8826) = 5984028 / 6

LCM(678,8826) = 997338

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FAQs on GCF of Fractions of 5788/678, 1301/8826

1. What is the HCF of 5788,1301?

The HCF of 5788,1301 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 5788/678, 1301/8826?

Answer: GCF of Numerators as per given numbers 5788/678, 1301/8826 is

GCF of Numerators i.e. for 5788,1301 is 1

LCM of denominators i.e. for 678,8826 is 997338.

Thus, GCF of Fractions is 1/997338.Finally, GCF of Fractions for 5788/678, 1301/8826 is 1/997338.