How to Find GCF of 7027/824, 9307/4934?

GCF of 7027/824, 9307/4934

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 7027/824, 9307/4934 i.e 1/2032808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7027/824, 9307/4934.

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 7027/824,9307/4934?

Given fractions are 7027/824,9307/4934

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 7027/824,9307/4934, numerators are 7027,9307

Denominators are 824,4934

The GCF of 7027,9307 is 1 .

LCM of 824,4934 is 2032808.

The greatest common factor of 7027/824,9307/4934 = [GCF of 7027,9307]/[LCM of 824,4934]= 1/2032808

Therefore, the GCF of 7027/824,9307/4934 is 1/2032808.

Greatest Common Factor of 7027,9307

To find the highest common factor of 7027,9307, we have to find the factors of both numbers and list the highest common factor.

The factors of 7027 are 1, 7027

The factors of 9307 are 1, 41, 227, 9307

The HCF of 7027,9307 is 1.

Lets's calculate GCF of 7027,9307

Greatest Common Factor (GCF) of 7027,9307 By Common Division

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

Greatest Common Factor of 7027,9307 By Matching Biggest Common Factor Method

Now, list down the factors of 7027

1,7027

Now, list down the factors of 9307

1,41,227,9307

Greatest Common Factor

We found the factors 7027,9307 . The biggest common factor number is the GCF number.
So the greatest common factor 7027,9307 is 1.

Lets's calculate LCM of 824,4934

Lowest Common Multiple of 824,4934 using Common Division

2	824, 4934
	412, 2467

∴ So the LCM of the given numbers is 2 x 412 x 2467 = 2032808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2032808

Therefore, the GCF of Fractions 7027/824,9307/4934 is 1/2032808

Least Common Multiple of 824,4934 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 824,4934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,4934) = 2

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

GCF(824,4934) x common factors =2 x 1 = 2

LCM(824,4934) = ( 824 × 4934 ) / 2

LCM(824,4934) = 4065616 / 2

LCM(824,4934) = 2032808

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FAQs on GCF of Fractions of 7027/824, 9307/4934

1. What is the HCF of 7027,9307?

The HCF of 7027,9307 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 7027/824, 9307/4934?

Answer: GCF of Numerators as per given numbers 7027/824, 9307/4934 is

GCF of Numerators i.e. for 7027,9307 is 1

LCM of denominators i.e. for 824,4934 is 2032808.

Thus, GCF of Fractions is 1/2032808.Finally, GCF of Fractions for 7027/824, 9307/4934 is 1/2032808.