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GCF of 813/956, 998/292

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 813/956, 998/292 i.e 1/69788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 813/956, 998/292.

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 813/956,998/292?

Given fractions are 813/956,998/292

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 813/956,998/292, numerators are 813,998

Denominators are 956,292

The GCF of 813,998 is 1 .

LCM of 956,292 is 69788.

The greatest common factor of 813/956,998/292 = [GCF of 813,998]/[LCM of 956,292]= 1/69788

Therefore, the GCF of 813/956,998/292 is 1/69788.

Greatest Common Factor of 813,998

To find the highest common factor of 813,998, we have to find the factors of both numbers and list the highest common factor.

The factors of 813 are 1, 3, 271, 813

The factors of 998 are 1, 2, 499, 998

The HCF of 813,998 is 1.

Lets's calculate GCF of 813,998

Greatest Common Factor (GCF) of 813,998 By Common Division

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

Greatest Common Factor of 813,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,998 By Matching Biggest Common Factor Method

Now, list down the factors of 813

:

1,3,271,813

Now, list down the factors of 998

:

1,2,499,998

Greatest Common Factor

We found the factors 813,998 . The biggest common factor number is the GCF number.
So the greatest common factor 813,998 is 1.

Lets's calculate LCM of 956,292

Lowest Common Multiple of 956,292 using Common Division

2 956, 292
2 478, 146
239, 73

∴ So the LCM of the given numbers is 2 x 2 x 239 x 73 = 69788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69788

Therefore, the GCF of Fractions 813/956,998/292 is 1/69788

Least Common Multiple of 956,292 with GCF Formula

Least Common Multiple of 956,292 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 956,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,292) = 4

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

GCF(956,292) x common factors =4 x 1 = 4

LCM(956,292) = ( 956 × 292 ) / 4

LCM(956,292) = 279152 / 4

LCM(956,292) = 69788


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FAQs on GCF of Fractions of 813/956, 998/292

1. What is the HCF of 813,998?

The HCF of 813,998 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 813/956, 998/292?

Answer: GCF of Numerators as per given numbers 813/956, 998/292 is

GCF of Numerators i.e. for 813,998 is 1

LCM of denominators i.e. for 956,292 is 69788.

Thus, GCF of Fractions is 1/69788.Finally, GCF of Fractions for 813/956, 998/292 is 1/69788.