How to Find GCF of 958/413, 5174/7992?

GCF of 958/413, 5174/7992

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 958/413, 5174/7992 i.e 2/3300696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 958/413, 5174/7992.

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 958/413,5174/7992?

Given fractions are 958/413,5174/7992

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 958/413,5174/7992, numerators are 958,5174

Denominators are 413,7992

The GCF of 958,5174 is 2 .

LCM of 413,7992 is 3300696.

The greatest common factor of 958/413,5174/7992 = [GCF of 958,5174]/[LCM of 413,7992]= 2/3300696

Therefore, the GCF of 958/413,5174/7992 is 2/3300696.

Greatest Common Factor of 958,5174

To find the highest common factor of 958,5174, we have to find the factors of both numbers and list the highest common factor.

The factors of 958 are 1, 2, 479, 958

The factors of 5174 are 1, 2, 13, 26, 199, 398, 2587, 5174

The HCF of 958,5174 is 2.

Lets's calculate GCF of 958,5174

Greatest Common Factor (GCF) of 958,5174 By Common Division

2	958, 5174
	479, 2587

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

Greatest Common Factor of 958,5174 By Matching Biggest Common Factor Method

Now, list down the factors of 958

1,2,479,958

Now, list down the factors of 5174

1,2,13,26,199,398,2587,5174

Greatest Common Factor

We found the factors 958,5174 . The biggest common factor number is the GCF number.
So the greatest common factor 958,5174 is 2.

Lets's calculate LCM of 413,7992

Lowest Common Multiple of 413,7992 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3300696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3300696

Therefore, the GCF of Fractions 958/413,5174/7992 is 2/3300696

Least Common Multiple of 413,7992 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 413,7992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,7992) = 1

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

GCF(413,7992) x common factors =1 x 1 = 1

LCM(413,7992) = ( 413 × 7992 ) / 1

LCM(413,7992) = 3300696 / 1

LCM(413,7992) = 3300696

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FAQs on GCF of Fractions of 958/413, 5174/7992

1. What is the HCF of 958,5174?

The HCF of 958,5174 is 2

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 958/413, 5174/7992?

Answer: GCF of Numerators as per given numbers 958/413, 5174/7992 is

GCF of Numerators i.e. for 958,5174 is 2

LCM of denominators i.e. for 413,7992 is 3300696.

Thus, GCF of Fractions is 2/3300696.Finally, GCF of Fractions for 958/413, 5174/7992 is 2/3300696.