How to Find GCF of 2882/706, 7743/4135?

GCF of 2882/706, 7743/4135

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 2882/706, 7743/4135 i.e 1/2919310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2882/706, 7743/4135.

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 2882/706,7743/4135?

Given fractions are 2882/706,7743/4135

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 2882/706,7743/4135, numerators are 2882,7743

Denominators are 706,4135

The GCF of 2882,7743 is 1 .

LCM of 706,4135 is 2919310.

The greatest common factor of 2882/706,7743/4135 = [GCF of 2882,7743]/[LCM of 706,4135]= 1/2919310

Therefore, the GCF of 2882/706,7743/4135 is 1/2919310.

Greatest Common Factor of 2882,7743

To find the highest common factor of 2882,7743, we have to find the factors of both numbers and list the highest common factor.

The factors of 2882 are 1, 2, 11, 22, 131, 262, 1441, 2882

The factors of 7743 are 1, 3, 29, 87, 89, 267, 2581, 7743

The HCF of 2882,7743 is 1.

Lets's calculate GCF of 2882,7743

Greatest Common Factor (GCF) of 2882,7743 By Common Division

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

Greatest Common Factor of 2882,7743 By Matching Biggest Common Factor Method

Now, list down the factors of 2882

1,2,11,22,131,262,1441,2882

Now, list down the factors of 7743

1,3,29,87,89,267,2581,7743

Greatest Common Factor

We found the factors 2882,7743 . The biggest common factor number is the GCF number.
So the greatest common factor 2882,7743 is 1.

Lets's calculate LCM of 706,4135

Lowest Common Multiple of 706,4135 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2919310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2919310

Therefore, the GCF of Fractions 2882/706,7743/4135 is 1/2919310

Least Common Multiple of 706,4135 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 706,4135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,4135) = 1

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

GCF(706,4135) x common factors =1 x 1 = 1

LCM(706,4135) = ( 706 × 4135 ) / 1

LCM(706,4135) = 2919310 / 1

LCM(706,4135) = 2919310

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FAQs on GCF of Fractions of 2882/706, 7743/4135

1. What is the HCF of 2882,7743?

The HCF of 2882,7743 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 2882/706, 7743/4135?

Answer: GCF of Numerators as per given numbers 2882/706, 7743/4135 is

GCF of Numerators i.e. for 2882,7743 is 1

LCM of denominators i.e. for 706,4135 is 2919310.

Thus, GCF of Fractions is 1/2919310.Finally, GCF of Fractions for 2882/706, 7743/4135 is 1/2919310.