How to Find GCF of 1166/862, 7809/5964?

GCF of 1166/862, 7809/5964

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 1166/862, 7809/5964 i.e 1/2570484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1166/862, 7809/5964.

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 1166/862,7809/5964?

Given fractions are 1166/862,7809/5964

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 1166/862,7809/5964, numerators are 1166,7809

Denominators are 862,5964

The GCF of 1166,7809 is 1 .

LCM of 862,5964 is 2570484.

The greatest common factor of 1166/862,7809/5964 = [GCF of 1166,7809]/[LCM of 862,5964]= 1/2570484

Therefore, the GCF of 1166/862,7809/5964 is 1/2570484.

Greatest Common Factor of 1166,7809

To find the highest common factor of 1166,7809, we have to find the factors of both numbers and list the highest common factor.

The factors of 1166 are 1, 2, 11, 22, 53, 106, 583, 1166

The factors of 7809 are 1, 3, 19, 57, 137, 411, 2603, 7809

The HCF of 1166,7809 is 1.

Lets's calculate GCF of 1166,7809

Greatest Common Factor (GCF) of 1166,7809 By Common Division

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

Greatest Common Factor of 1166,7809 By Matching Biggest Common Factor Method

Now, list down the factors of 1166

1,2,11,22,53,106,583,1166

Now, list down the factors of 7809

1,3,19,57,137,411,2603,7809

Greatest Common Factor

We found the factors 1166,7809 . The biggest common factor number is the GCF number.
So the greatest common factor 1166,7809 is 1.

Lets's calculate LCM of 862,5964

Lowest Common Multiple of 862,5964 using Common Division

2	862, 5964
	431, 2982

∴ So the LCM of the given numbers is 2 x 431 x 2982 = 2570484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2570484

Therefore, the GCF of Fractions 1166/862,7809/5964 is 1/2570484

Least Common Multiple of 862,5964 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 862,5964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,5964) = 2

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

GCF(862,5964) x common factors =2 x 1 = 2

LCM(862,5964) = ( 862 × 5964 ) / 2

LCM(862,5964) = 5140968 / 2

LCM(862,5964) = 2570484

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FAQs on GCF of Fractions of 1166/862, 7809/5964

1. What is the HCF of 1166,7809?

The HCF of 1166,7809 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 1166/862, 7809/5964?

Answer: GCF of Numerators as per given numbers 1166/862, 7809/5964 is

GCF of Numerators i.e. for 1166,7809 is 1

LCM of denominators i.e. for 862,5964 is 2570484.

Thus, GCF of Fractions is 1/2570484.Finally, GCF of Fractions for 1166/862, 7809/5964 is 1/2570484.