How to Find GCF of 7882/662, 3281/2938?

GCF of 7882/662, 3281/2938

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 7882/662, 3281/2938 i.e 1/972478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7882/662, 3281/2938.

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 7882/662,3281/2938?

Given fractions are 7882/662,3281/2938

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 7882/662,3281/2938, numerators are 7882,3281

Denominators are 662,2938

The GCF of 7882,3281 is 1 .

LCM of 662,2938 is 972478.

The greatest common factor of 7882/662,3281/2938 = [GCF of 7882,3281]/[LCM of 662,2938]= 1/972478

Therefore, the GCF of 7882/662,3281/2938 is 1/972478.

Greatest Common Factor of 7882,3281

To find the highest common factor of 7882,3281, we have to find the factors of both numbers and list the highest common factor.

The factors of 7882 are 1, 2, 7, 14, 563, 1126, 3941, 7882

The factors of 3281 are 1, 17, 193, 3281

The HCF of 7882,3281 is 1.

Lets's calculate GCF of 7882,3281

Greatest Common Factor (GCF) of 7882,3281 By Common Division

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

Greatest Common Factor of 7882,3281 By Matching Biggest Common Factor Method

Now, list down the factors of 7882

1,2,7,14,563,1126,3941,7882

Now, list down the factors of 3281

1,17,193,3281

Greatest Common Factor

We found the factors 7882,3281 . The biggest common factor number is the GCF number.
So the greatest common factor 7882,3281 is 1.

Lets's calculate LCM of 662,2938

Lowest Common Multiple of 662,2938 using Common Division

2	662, 2938
	331, 1469

∴ So the LCM of the given numbers is 2 x 331 x 1469 = 972478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/972478

Therefore, the GCF of Fractions 7882/662,3281/2938 is 1/972478

Least Common Multiple of 662,2938 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 662,2938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,2938) = 2

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

GCF(662,2938) x common factors =2 x 1 = 2

LCM(662,2938) = ( 662 × 2938 ) / 2

LCM(662,2938) = 1944956 / 2

LCM(662,2938) = 972478

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FAQs on GCF of Fractions of 7882/662, 3281/2938

1. What is the HCF of 7882,3281?

The HCF of 7882,3281 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 7882/662, 3281/2938?

Answer: GCF of Numerators as per given numbers 7882/662, 3281/2938 is

GCF of Numerators i.e. for 7882,3281 is 1

LCM of denominators i.e. for 662,2938 is 972478.

Thus, GCF of Fractions is 1/972478.Finally, GCF of Fractions for 7882/662, 3281/2938 is 1/972478.