How to Find GCF of 8297/828, 3484/2388?

GCF of 8297/828, 3484/2388

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 8297/828, 3484/2388 i.e 1/164772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8297/828, 3484/2388.

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 8297/828,3484/2388?

Given fractions are 8297/828,3484/2388

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 8297/828,3484/2388, numerators are 8297,3484

Denominators are 828,2388

The GCF of 8297,3484 is 1 .

LCM of 828,2388 is 164772.

The greatest common factor of 8297/828,3484/2388 = [GCF of 8297,3484]/[LCM of 828,2388]= 1/164772

Therefore, the GCF of 8297/828,3484/2388 is 1/164772.

Greatest Common Factor of 8297,3484

To find the highest common factor of 8297,3484, we have to find the factors of both numbers and list the highest common factor.

The factors of 8297 are 1, 8297

The factors of 3484 are 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484

The HCF of 8297,3484 is 1.

Lets's calculate GCF of 8297,3484

Greatest Common Factor (GCF) of 8297,3484 By Common Division

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

Greatest Common Factor of 8297,3484 By Matching Biggest Common Factor Method

Now, list down the factors of 8297

1,8297

Now, list down the factors of 3484

1,2,4,13,26,52,67,134,268,871,1742,3484

Greatest Common Factor

We found the factors 8297,3484 . The biggest common factor number is the GCF number.
So the greatest common factor 8297,3484 is 1.

Lets's calculate LCM of 828,2388

Lowest Common Multiple of 828,2388 using Common Division

2	828, 2388
2	414, 1194
3	207, 597
	69, 199

∴ So the LCM of the given numbers is 2 x 2 x 3 x 69 x 199 = 164772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164772

Therefore, the GCF of Fractions 8297/828,3484/2388 is 1/164772

Least Common Multiple of 828,2388 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 828,2388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,2388) = 12

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

GCF(828,2388) x common factors =12 x 1 = 12

LCM(828,2388) = ( 828 × 2388 ) / 12

LCM(828,2388) = 1977264 / 12

LCM(828,2388) = 164772

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FAQs on GCF of Fractions of 8297/828, 3484/2388

1. What is the HCF of 8297,3484?

The HCF of 8297,3484 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 8297/828, 3484/2388?

Answer: GCF of Numerators as per given numbers 8297/828, 3484/2388 is

GCF of Numerators i.e. for 8297,3484 is 1

LCM of denominators i.e. for 828,2388 is 164772.

Thus, GCF of Fractions is 1/164772.Finally, GCF of Fractions for 8297/828, 3484/2388 is 1/164772.