How to Find GCF of 3956/172, 3092/316?

GCF of 3956/172, 3092/316

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 3956/172, 3092/316 i.e 4/13588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3956/172, 3092/316.

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 3956/172,3092/316?

Given fractions are 3956/172,3092/316

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 3956/172,3092/316, numerators are 3956,3092

Denominators are 172,316

The GCF of 3956,3092 is 4 .

LCM of 172,316 is 13588.

The greatest common factor of 3956/172,3092/316 = [GCF of 3956,3092]/[LCM of 172,316]= 4/13588

Therefore, the GCF of 3956/172,3092/316 is 4/13588.

Greatest Common Factor of 3956,3092

To find the highest common factor of 3956,3092, we have to find the factors of both numbers and list the highest common factor.

The factors of 3956 are 1, 2, 4, 23, 43, 46, 86, 92, 172, 989, 1978, 3956

The factors of 3092 are 1, 2, 4, 773, 1546, 3092

The HCF of 3956,3092 is 4.

Lets's calculate GCF of 3956,3092

Greatest Common Factor (GCF) of 3956,3092 By Common Division

2	3956, 3092
2	1978, 1546
	989, 773

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3956,3092 By Matching Biggest Common Factor Method

Now, list down the factors of 3956

1,2,4,23,43,46,86,92,172,989,1978,3956

Now, list down the factors of 3092

1,2,4,773,1546,3092

Greatest Common Factor

We found the factors 3956,3092 . The biggest common factor number is the GCF number.
So the greatest common factor 3956,3092 is 4.

Lets's calculate LCM of 172,316

Lowest Common Multiple of 172,316 using Common Division

2	172, 316
2	86, 158
	43, 79

∴ So the LCM of the given numbers is 2 x 2 x 43 x 79 = 13588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/13588

Therefore, the GCF of Fractions 3956/172,3092/316 is 4/13588

Least Common Multiple of 172,316 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 172,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,316) = 4

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

GCF(172,316) x common factors =4 x 1 = 4

LCM(172,316) = ( 172 × 316 ) / 4

LCM(172,316) = 54352 / 4

LCM(172,316) = 13588

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3956/172, 3092/316

1. What is the HCF of 3956,3092?

The HCF of 3956,3092 is 4

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 3956/172, 3092/316?

Answer: GCF of Numerators as per given numbers 3956/172, 3092/316 is

GCF of Numerators i.e. for 3956,3092 is 4

LCM of denominators i.e. for 172,316 is 13588.

Thus, GCF of Fractions is 4/13588.Finally, GCF of Fractions for 3956/172, 3092/316 is 4/13588.