How to Find GCF of 1146/937, 8092/4369?

GCF of 1146/937, 8092/4369

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 1146/937, 8092/4369 i.e 2/4093753 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1146/937, 8092/4369.

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 1146/937,8092/4369?

Given fractions are 1146/937,8092/4369

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 1146/937,8092/4369, numerators are 1146,8092

Denominators are 937,4369

The GCF of 1146,8092 is 2 .

LCM of 937,4369 is 4093753.

The greatest common factor of 1146/937,8092/4369 = [GCF of 1146,8092]/[LCM of 937,4369]= 2/4093753

Therefore, the GCF of 1146/937,8092/4369 is 2/4093753.

Greatest Common Factor of 1146,8092

To find the highest common factor of 1146,8092, we have to find the factors of both numbers and list the highest common factor.

The factors of 1146 are 1, 2, 3, 6, 191, 382, 573, 1146

The factors of 8092 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092

The HCF of 1146,8092 is 2.

Lets's calculate GCF of 1146,8092

Greatest Common Factor (GCF) of 1146,8092 By Common Division

2	1146, 8092
	573, 4046

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1146,8092 By Matching Biggest Common Factor Method

Now, list down the factors of 1146

1,2,3,6,191,382,573,1146

Now, list down the factors of 8092

1,2,4,7,14,17,28,34,68,119,238,289,476,578,1156,2023,4046,8092

Greatest Common Factor

We found the factors 1146,8092 . The biggest common factor number is the GCF number.
So the greatest common factor 1146,8092 is 2.

Lets's calculate LCM of 937,4369

Lowest Common Multiple of 937,4369 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4093753

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4093753

Therefore, the GCF of Fractions 1146/937,8092/4369 is 2/4093753

Least Common Multiple of 937,4369 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 937,4369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,4369) = 1

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

GCF(937,4369) x common factors =1 x 1 = 1

LCM(937,4369) = ( 937 × 4369 ) / 1

LCM(937,4369) = 4093753 / 1

LCM(937,4369) = 4093753

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FAQs on GCF of Fractions of 1146/937, 8092/4369

1. What is the HCF of 1146,8092?

The HCF of 1146,8092 is 2

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 1146/937, 8092/4369?

Answer: GCF of Numerators as per given numbers 1146/937, 8092/4369 is

GCF of Numerators i.e. for 1146,8092 is 2

LCM of denominators i.e. for 937,4369 is 4093753.

Thus, GCF of Fractions is 2/4093753.Finally, GCF of Fractions for 1146/937, 8092/4369 is 2/4093753.