How to Find GCF of 7976/297, 3804/1933?

GCF of 7976/297, 3804/1933

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 7976/297, 3804/1933 i.e 4/574101 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7976/297, 3804/1933.

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 7976/297,3804/1933?

Given fractions are 7976/297,3804/1933

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 7976/297,3804/1933, numerators are 7976,3804

Denominators are 297,1933

The GCF of 7976,3804 is 4 .

LCM of 297,1933 is 574101.

The greatest common factor of 7976/297,3804/1933 = [GCF of 7976,3804]/[LCM of 297,1933]= 4/574101

Therefore, the GCF of 7976/297,3804/1933 is 4/574101.

Greatest Common Factor of 7976,3804

To find the highest common factor of 7976,3804, we have to find the factors of both numbers and list the highest common factor.

The factors of 7976 are 1, 2, 4, 8, 997, 1994, 3988, 7976

The factors of 3804 are 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804

The HCF of 7976,3804 is 4.

Lets's calculate GCF of 7976,3804

Greatest Common Factor (GCF) of 7976,3804 By Common Division

2	7976, 3804
2	3988, 1902
	1994, 951

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

Greatest Common Factor of 7976,3804 By Matching Biggest Common Factor Method

Now, list down the factors of 7976

1,2,4,8,997,1994,3988,7976

Now, list down the factors of 3804

1,2,3,4,6,12,317,634,951,1268,1902,3804

Greatest Common Factor

We found the factors 7976,3804 . The biggest common factor number is the GCF number.
So the greatest common factor 7976,3804 is 4.

Lets's calculate LCM of 297,1933

Lowest Common Multiple of 297,1933 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 574101

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/574101

Therefore, the GCF of Fractions 7976/297,3804/1933 is 4/574101

Least Common Multiple of 297,1933 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 297,1933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,1933) = 1

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

GCF(297,1933) x common factors =1 x 1 = 1

LCM(297,1933) = ( 297 × 1933 ) / 1

LCM(297,1933) = 574101 / 1

LCM(297,1933) = 574101

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FAQs on GCF of Fractions of 7976/297, 3804/1933

1. What is the HCF of 7976,3804?

The HCF of 7976,3804 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 7976/297, 3804/1933?

Answer: GCF of Numerators as per given numbers 7976/297, 3804/1933 is

GCF of Numerators i.e. for 7976,3804 is 4

LCM of denominators i.e. for 297,1933 is 574101.

Thus, GCF of Fractions is 4/574101.Finally, GCF of Fractions for 7976/297, 3804/1933 is 4/574101.