How to Find GCF of 1999/756, 3953/7902?

GCF of 1999/756, 3953/7902

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 1999/756, 3953/7902 i.e 1/331884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1999/756, 3953/7902.

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 1999/756,3953/7902?

Given fractions are 1999/756,3953/7902

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 1999/756,3953/7902, numerators are 1999,3953

Denominators are 756,7902

The GCF of 1999,3953 is 1 .

LCM of 756,7902 is 331884.

The greatest common factor of 1999/756,3953/7902 = [GCF of 1999,3953]/[LCM of 756,7902]= 1/331884

Therefore, the GCF of 1999/756,3953/7902 is 1/331884.

Greatest Common Factor of 1999,3953

To find the highest common factor of 1999,3953, we have to find the factors of both numbers and list the highest common factor.

The factors of 1999 are 1, 1999

The factors of 3953 are 1, 59, 67, 3953

The HCF of 1999,3953 is 1.

Lets's calculate GCF of 1999,3953

Greatest Common Factor (GCF) of 1999,3953 By Common Division

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

Greatest Common Factor of 1999,3953 By Matching Biggest Common Factor Method

Now, list down the factors of 1999

1,1999

Now, list down the factors of 3953

1,59,67,3953

Greatest Common Factor

We found the factors 1999,3953 . The biggest common factor number is the GCF number.
So the greatest common factor 1999,3953 is 1.

Lets's calculate LCM of 756,7902

Lowest Common Multiple of 756,7902 using Common Division

2	756, 7902
3	378, 3951
3	126, 1317
	42, 439

∴ So the LCM of the given numbers is 2 x 3 x 3 x 42 x 439 = 331884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331884

Therefore, the GCF of Fractions 1999/756,3953/7902 is 1/331884

Least Common Multiple of 756,7902 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 756,7902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,7902) = 18

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

GCF(756,7902) x common factors =18 x 1 = 18

LCM(756,7902) = ( 756 × 7902 ) / 18

LCM(756,7902) = 5973912 / 18

LCM(756,7902) = 331884

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FAQs on GCF of Fractions of 1999/756, 3953/7902

1. What is the HCF of 1999,3953?

The HCF of 1999,3953 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 1999/756, 3953/7902?

Answer: GCF of Numerators as per given numbers 1999/756, 3953/7902 is

GCF of Numerators i.e. for 1999,3953 is 1

LCM of denominators i.e. for 756,7902 is 331884.

Thus, GCF of Fractions is 1/331884.Finally, GCF of Fractions for 1999/756, 3953/7902 is 1/331884.