How to Find GCF of 1799/632, 7913/7929?

GCF of 1799/632, 7913/7929

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 1799/632, 7913/7929 i.e 1/5011128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1799/632, 7913/7929.

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 1799/632,7913/7929?

Given fractions are 1799/632,7913/7929

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 1799/632,7913/7929, numerators are 1799,7913

Denominators are 632,7929

The GCF of 1799,7913 is 1 .

LCM of 632,7929 is 5011128.

The greatest common factor of 1799/632,7913/7929 = [GCF of 1799,7913]/[LCM of 632,7929]= 1/5011128

Therefore, the GCF of 1799/632,7913/7929 is 1/5011128.

Greatest Common Factor of 1799,7913

To find the highest common factor of 1799,7913, we have to find the factors of both numbers and list the highest common factor.

The factors of 1799 are 1, 7, 257, 1799

The factors of 7913 are 1, 41, 193, 7913

The HCF of 1799,7913 is 1.

Lets's calculate GCF of 1799,7913

Greatest Common Factor (GCF) of 1799,7913 By Common Division

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

Greatest Common Factor of 1799,7913 By Matching Biggest Common Factor Method

Now, list down the factors of 1799

1,7,257,1799

Now, list down the factors of 7913

1,41,193,7913

Greatest Common Factor

We found the factors 1799,7913 . The biggest common factor number is the GCF number.
So the greatest common factor 1799,7913 is 1.

Lets's calculate LCM of 632,7929

Lowest Common Multiple of 632,7929 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5011128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5011128

Therefore, the GCF of Fractions 1799/632,7913/7929 is 1/5011128

Least Common Multiple of 632,7929 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 632,7929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,7929) = 1

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

GCF(632,7929) x common factors =1 x 1 = 1

LCM(632,7929) = ( 632 × 7929 ) / 1

LCM(632,7929) = 5011128 / 1

LCM(632,7929) = 5011128

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FAQs on GCF of Fractions of 1799/632, 7913/7929

1. What is the HCF of 1799,7913?

The HCF of 1799,7913 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 1799/632, 7913/7929?

Answer: GCF of Numerators as per given numbers 1799/632, 7913/7929 is

GCF of Numerators i.e. for 1799,7913 is 1

LCM of denominators i.e. for 632,7929 is 5011128.

Thus, GCF of Fractions is 1/5011128.Finally, GCF of Fractions for 1799/632, 7913/7929 is 1/5011128.