How to Find GCF of 879/748, 6628/3476?

GCF of 879/748, 6628/3476

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 879/748, 6628/3476 i.e 1/59092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 879/748, 6628/3476.

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 879/748,6628/3476?

Given fractions are 879/748,6628/3476

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 879/748,6628/3476, numerators are 879,6628

Denominators are 748,3476

The GCF of 879,6628 is 1 .

LCM of 748,3476 is 59092.

The greatest common factor of 879/748,6628/3476 = [GCF of 879,6628]/[LCM of 748,3476]= 1/59092

Therefore, the GCF of 879/748,6628/3476 is 1/59092.

Greatest Common Factor of 879,6628

To find the highest common factor of 879,6628, we have to find the factors of both numbers and list the highest common factor.

The factors of 879 are 1, 3, 293, 879

The factors of 6628 are 1, 2, 4, 1657, 3314, 6628

The HCF of 879,6628 is 1.

Lets's calculate GCF of 879,6628

Greatest Common Factor (GCF) of 879,6628 By Common Division

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

Greatest Common Factor of 879,6628 By Matching Biggest Common Factor Method

Now, list down the factors of 879

1,3,293,879

Now, list down the factors of 6628

1,2,4,1657,3314,6628

Greatest Common Factor

We found the factors 879,6628 . The biggest common factor number is the GCF number.
So the greatest common factor 879,6628 is 1.

Lets's calculate LCM of 748,3476

Lowest Common Multiple of 748,3476 using Common Division

2	748, 3476
2	374, 1738
11	187, 869
	17, 79

∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 79 = 59092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59092

Therefore, the GCF of Fractions 879/748,6628/3476 is 1/59092

Least Common Multiple of 748,3476 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 748,3476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,3476) = 44

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

GCF(748,3476) x common factors =44 x 1 = 44

LCM(748,3476) = ( 748 × 3476 ) / 44

LCM(748,3476) = 2600048 / 44

LCM(748,3476) = 59092

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 879/748, 6628/3476

1. What is the HCF of 879,6628?

The HCF of 879,6628 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 879/748, 6628/3476?

Answer: GCF of Numerators as per given numbers 879/748, 6628/3476 is

GCF of Numerators i.e. for 879,6628 is 1

LCM of denominators i.e. for 748,3476 is 59092.

Thus, GCF of Fractions is 1/59092.Finally, GCF of Fractions for 879/748, 6628/3476 is 1/59092.