How to Find GCF of 7096/526, 8689/8327?

GCF of 7096/526, 8689/8327

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 7096/526, 8689/8327 i.e 1/4380002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7096/526, 8689/8327.

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 7096/526,8689/8327?

Given fractions are 7096/526,8689/8327

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 7096/526,8689/8327, numerators are 7096,8689

Denominators are 526,8327

The GCF of 7096,8689 is 1 .

LCM of 526,8327 is 4380002.

The greatest common factor of 7096/526,8689/8327 = [GCF of 7096,8689]/[LCM of 526,8327]= 1/4380002

Therefore, the GCF of 7096/526,8689/8327 is 1/4380002.

Greatest Common Factor of 7096,8689

To find the highest common factor of 7096,8689, we have to find the factors of both numbers and list the highest common factor.

The factors of 7096 are 1, 2, 4, 8, 887, 1774, 3548, 7096

The factors of 8689 are 1, 8689

The HCF of 7096,8689 is 1.

Lets's calculate GCF of 7096,8689

Greatest Common Factor (GCF) of 7096,8689 By Common Division

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

Greatest Common Factor of 7096,8689 By Matching Biggest Common Factor Method

Now, list down the factors of 7096

1,2,4,8,887,1774,3548,7096

Now, list down the factors of 8689

1,8689

Greatest Common Factor

We found the factors 7096,8689 . The biggest common factor number is the GCF number.
So the greatest common factor 7096,8689 is 1.

Lets's calculate LCM of 526,8327

Lowest Common Multiple of 526,8327 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4380002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4380002

Therefore, the GCF of Fractions 7096/526,8689/8327 is 1/4380002

Least Common Multiple of 526,8327 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 526,8327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,8327) = 1

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

GCF(526,8327) x common factors =1 x 1 = 1

LCM(526,8327) = ( 526 × 8327 ) / 1

LCM(526,8327) = 4380002 / 1

LCM(526,8327) = 4380002

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FAQs on GCF of Fractions of 7096/526, 8689/8327

1. What is the HCF of 7096,8689?

The HCF of 7096,8689 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 7096/526, 8689/8327?

Answer: GCF of Numerators as per given numbers 7096/526, 8689/8327 is

GCF of Numerators i.e. for 7096,8689 is 1

LCM of denominators i.e. for 526,8327 is 4380002.

Thus, GCF of Fractions is 1/4380002.Finally, GCF of Fractions for 7096/526, 8689/8327 is 1/4380002.