How to Find GCF of 8826/976, 9407/7305?

GCF of 8826/976, 9407/7305

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 8826/976, 9407/7305 i.e 1/7129680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8826/976, 9407/7305.

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 8826/976,9407/7305?

Given fractions are 8826/976,9407/7305

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 8826/976,9407/7305, numerators are 8826,9407

Denominators are 976,7305

The GCF of 8826,9407 is 1 .

LCM of 976,7305 is 7129680.

The greatest common factor of 8826/976,9407/7305 = [GCF of 8826,9407]/[LCM of 976,7305]= 1/7129680

Therefore, the GCF of 8826/976,9407/7305 is 1/7129680.

Greatest Common Factor of 8826,9407

To find the highest common factor of 8826,9407, we have to find the factors of both numbers and list the highest common factor.

The factors of 8826 are 1, 2, 3, 6, 1471, 2942, 4413, 8826

The factors of 9407 are 1, 23, 409, 9407

The HCF of 8826,9407 is 1.

Lets's calculate GCF of 8826,9407

Greatest Common Factor (GCF) of 8826,9407 By Common Division

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

Greatest Common Factor of 8826,9407 By Matching Biggest Common Factor Method

Now, list down the factors of 8826

1,2,3,6,1471,2942,4413,8826

Now, list down the factors of 9407

1,23,409,9407

Greatest Common Factor

We found the factors 8826,9407 . The biggest common factor number is the GCF number.
So the greatest common factor 8826,9407 is 1.

Lets's calculate LCM of 976,7305

Lowest Common Multiple of 976,7305 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7129680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7129680

Therefore, the GCF of Fractions 8826/976,9407/7305 is 1/7129680

Least Common Multiple of 976,7305 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 976,7305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,7305) = 1

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

GCF(976,7305) x common factors =1 x 1 = 1

LCM(976,7305) = ( 976 × 7305 ) / 1

LCM(976,7305) = 7129680 / 1

LCM(976,7305) = 7129680

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FAQs on GCF of Fractions of 8826/976, 9407/7305

1. What is the HCF of 8826,9407?

The HCF of 8826,9407 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 8826/976, 9407/7305?

Answer: GCF of Numerators as per given numbers 8826/976, 9407/7305 is

GCF of Numerators i.e. for 8826,9407 is 1

LCM of denominators i.e. for 976,7305 is 7129680.

Thus, GCF of Fractions is 1/7129680.Finally, GCF of Fractions for 8826/976, 9407/7305 is 1/7129680.