How to Find GCF of 2807/784, 7239/1142?

GCF of 2807/784, 7239/1142

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 2807/784, 7239/1142 i.e 1/447664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2807/784, 7239/1142.

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 2807/784,7239/1142?

Given fractions are 2807/784,7239/1142

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 2807/784,7239/1142, numerators are 2807,7239

Denominators are 784,1142

The GCF of 2807,7239 is 1 .

LCM of 784,1142 is 447664.

The greatest common factor of 2807/784,7239/1142 = [GCF of 2807,7239]/[LCM of 784,1142]= 1/447664

Therefore, the GCF of 2807/784,7239/1142 is 1/447664.

Greatest Common Factor of 2807,7239

To find the highest common factor of 2807,7239, we have to find the factors of both numbers and list the highest common factor.

The factors of 2807 are 1, 7, 401, 2807

The factors of 7239 are 1, 3, 19, 57, 127, 381, 2413, 7239

The HCF of 2807,7239 is 1.

Lets's calculate GCF of 2807,7239

Greatest Common Factor (GCF) of 2807,7239 By Common Division

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

Greatest Common Factor of 2807,7239 By Matching Biggest Common Factor Method

Now, list down the factors of 2807

1,7,401,2807

Now, list down the factors of 7239

1,3,19,57,127,381,2413,7239

Greatest Common Factor

We found the factors 2807,7239 . The biggest common factor number is the GCF number.
So the greatest common factor 2807,7239 is 1.

Lets's calculate LCM of 784,1142

Lowest Common Multiple of 784,1142 using Common Division

2	784, 1142
	392, 571

∴ So the LCM of the given numbers is 2 x 392 x 571 = 447664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/447664

Therefore, the GCF of Fractions 2807/784,7239/1142 is 1/447664

Least Common Multiple of 784,1142 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 784,1142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,1142) = 2

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

GCF(784,1142) x common factors =2 x 1 = 2

LCM(784,1142) = ( 784 × 1142 ) / 2

LCM(784,1142) = 895328 / 2

LCM(784,1142) = 447664

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2807/784, 7239/1142

1. What is the HCF of 2807,7239?

The HCF of 2807,7239 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 2807/784, 7239/1142?

Answer: GCF of Numerators as per given numbers 2807/784, 7239/1142 is

GCF of Numerators i.e. for 2807,7239 is 1

LCM of denominators i.e. for 784,1142 is 447664.

Thus, GCF of Fractions is 1/447664.Finally, GCF of Fractions for 2807/784, 7239/1142 is 1/447664.