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GCF of 8368/188, 3972/2576

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 8368/188, 3972/2576 i.e 4/121072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8368/188, 3972/2576.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8368/188,3972/2576?

Given fractions are 8368/188,3972/2576

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 8368/188,3972/2576, numerators are 8368,3972

Denominators are 188,2576

The GCF of 8368,3972 is 4 .

LCM of 188,2576 is 121072.

The greatest common factor of 8368/188,3972/2576 = [GCF of 8368,3972]/[LCM of 188,2576]= 4/121072

Therefore, the GCF of 8368/188,3972/2576 is 4/121072.

Greatest Common Factor of 8368,3972

To find the highest common factor of 8368,3972, we have to find the factors of both numbers and list the highest common factor.

The factors of 8368 are 1, 2, 4, 8, 16, 523, 1046, 2092, 4184, 8368

The factors of 3972 are 1, 2, 3, 4, 6, 12, 331, 662, 993, 1324, 1986, 3972

The HCF of 8368,3972 is 4.

Lets's calculate GCF of 8368,3972

Greatest Common Factor (GCF) of 8368,3972 By Common Division

2 8368, 3972
2 4184, 1986
2092, 993

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

Greatest Common Factor of 8368,3972 By Matching Biggest Common Factor Method

Greatest Common Factor of 8368,3972 By Matching Biggest Common Factor Method

Now, list down the factors of 8368

:

1,2,4,8,16,523,1046,2092,4184,8368

Now, list down the factors of 3972

:

1,2,3,4,6,12,331,662,993,1324,1986,3972

Greatest Common Factor

We found the factors 8368,3972 . The biggest common factor number is the GCF number.
So the greatest common factor 8368,3972 is 4.


Lets's calculate LCM of 188,2576

Lowest Common Multiple of 188,2576 using Common Division

2 188, 2576
2 94, 1288
47, 644

∴ So the LCM of the given numbers is 2 x 2 x 47 x 644 = 121072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/121072

Therefore, the GCF of Fractions 8368/188,3972/2576 is 4/121072

Least Common Multiple of 188,2576 with GCF Formula

Least Common Multiple of 188,2576 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 188,2576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,2576) = 4

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

GCF(188,2576) x common factors =4 x 1 = 4

LCM(188,2576) = ( 188 × 2576 ) / 4

LCM(188,2576) = 484288 / 4

LCM(188,2576) = 121072


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8368/188, 3972/2576

1. What is the HCF of 8368,3972?

The HCF of 8368,3972 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 8368/188, 3972/2576?

Answer: GCF of Numerators as per given numbers 8368/188, 3972/2576 is

GCF of Numerators i.e. for 8368,3972 is 4

LCM of denominators i.e. for 188,2576 is 121072.

Thus, GCF of Fractions is 4/121072.Finally, GCF of Fractions for 8368/188, 3972/2576 is 4/121072.