How to Find GCF of 957/711, 1045/8116?

GCF of 957/711, 1045/8116

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 957/711, 1045/8116 i.e 11/5770476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 957/711, 1045/8116.

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 957/711,1045/8116?

Given fractions are 957/711,1045/8116

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 957/711,1045/8116, numerators are 957,1045

Denominators are 711,8116

The GCF of 957,1045 is 11 .

LCM of 711,8116 is 5770476.

The greatest common factor of 957/711,1045/8116 = [GCF of 957,1045]/[LCM of 711,8116]= 11/5770476

Therefore, the GCF of 957/711,1045/8116 is 11/5770476.

Greatest Common Factor of 957,1045

To find the highest common factor of 957,1045, we have to find the factors of both numbers and list the highest common factor.

The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957

The factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045

The HCF of 957,1045 is 11.

Lets's calculate GCF of 957,1045

Greatest Common Factor (GCF) of 957,1045 By Common Division

11	957, 1045
	87, 95

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 957,1045 By Matching Biggest Common Factor Method

Now, list down the factors of 957

1,3,11,29,33,87,319,957

Now, list down the factors of 1045

1,5,11,19,55,95,209,1045

Greatest Common Factor

We found the factors 957,1045 . The biggest common factor number is the GCF number.
So the greatest common factor 957,1045 is 11.

Lets's calculate LCM of 711,8116

Lowest Common Multiple of 711,8116 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5770476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/5770476

Therefore, the GCF of Fractions 957/711,1045/8116 is 11/5770476

Least Common Multiple of 711,8116 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 711,8116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,8116) = 1

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

GCF(711,8116) x common factors =1 x 1 = 1

LCM(711,8116) = ( 711 × 8116 ) / 1

LCM(711,8116) = 5770476 / 1

LCM(711,8116) = 5770476

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FAQs on GCF of Fractions of 957/711, 1045/8116

1. What is the HCF of 957,1045?

The HCF of 957,1045 is 11

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 957/711, 1045/8116?

Answer: GCF of Numerators as per given numbers 957/711, 1045/8116 is

GCF of Numerators i.e. for 957,1045 is 11

LCM of denominators i.e. for 711,8116 is 5770476.

Thus, GCF of Fractions is 11/5770476.Finally, GCF of Fractions for 957/711, 1045/8116 is 11/5770476.