How to Find GCF of 8920/443, 6748/6911?

GCF of 8920/443, 6748/6911

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 8920/443, 6748/6911 i.e 4/3061573 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8920/443, 6748/6911.

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 8920/443,6748/6911?

Given fractions are 8920/443,6748/6911

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 8920/443,6748/6911, numerators are 8920,6748

Denominators are 443,6911

The GCF of 8920,6748 is 4 .

LCM of 443,6911 is 3061573.

The greatest common factor of 8920/443,6748/6911 = [GCF of 8920,6748]/[LCM of 443,6911]= 4/3061573

Therefore, the GCF of 8920/443,6748/6911 is 4/3061573.

Greatest Common Factor of 8920,6748

To find the highest common factor of 8920,6748, we have to find the factors of both numbers and list the highest common factor.

The factors of 8920 are 1, 2, 4, 5, 8, 10, 20, 40, 223, 446, 892, 1115, 1784, 2230, 4460, 8920

The factors of 6748 are 1, 2, 4, 7, 14, 28, 241, 482, 964, 1687, 3374, 6748

The HCF of 8920,6748 is 4.

Lets's calculate GCF of 8920,6748

Greatest Common Factor (GCF) of 8920,6748 By Common Division

2	8920, 6748
2	4460, 3374
	2230, 1687

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8920,6748 By Matching Biggest Common Factor Method

Now, list down the factors of 8920

1,2,4,5,8,10,20,40,223,446,892,1115,1784,2230,4460,8920

Now, list down the factors of 6748

1,2,4,7,14,28,241,482,964,1687,3374,6748

Greatest Common Factor

We found the factors 8920,6748 . The biggest common factor number is the GCF number.
So the greatest common factor 8920,6748 is 4.

Lets's calculate LCM of 443,6911

Lowest Common Multiple of 443,6911 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3061573

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3061573

Therefore, the GCF of Fractions 8920/443,6748/6911 is 4/3061573

Least Common Multiple of 443,6911 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 443,6911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(443,6911) = 1

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

GCF(443,6911) x common factors =1 x 1 = 1

LCM(443,6911) = ( 443 × 6911 ) / 1

LCM(443,6911) = 3061573 / 1

LCM(443,6911) = 3061573

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8920/443, 6748/6911

1. What is the HCF of 8920,6748?

The HCF of 8920,6748 is 4

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 8920/443, 6748/6911?

Answer: GCF of Numerators as per given numbers 8920/443, 6748/6911 is

GCF of Numerators i.e. for 8920,6748 is 4

LCM of denominators i.e. for 443,6911 is 3061573.

Thus, GCF of Fractions is 4/3061573.Finally, GCF of Fractions for 8920/443, 6748/6911 is 4/3061573.