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GCF of 998/794, 2158/705

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 998/794, 2158/705 i.e 2/559770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 998/794, 2158/705.

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 998/794,2158/705?

Given fractions are 998/794,2158/705

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 998/794,2158/705, numerators are 998,2158

Denominators are 794,705

The GCF of 998,2158 is 2 .

LCM of 794,705 is 559770.

The greatest common factor of 998/794,2158/705 = [GCF of 998,2158]/[LCM of 794,705]= 2/559770

Therefore, the GCF of 998/794,2158/705 is 2/559770.

Greatest Common Factor of 998,2158

To find the highest common factor of 998,2158, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 2158 are 1, 2, 13, 26, 83, 166, 1079, 2158

The HCF of 998,2158 is 2.

Lets's calculate GCF of 998,2158

Greatest Common Factor (GCF) of 998,2158 By Common Division

2 998, 2158
499, 1079

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

Greatest Common Factor of 998,2158 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,2158 By Matching Biggest Common Factor Method

Now, list down the factors of 998

:

1,2,499,998

Now, list down the factors of 2158

:

1,2,13,26,83,166,1079,2158

Greatest Common Factor

We found the factors 998,2158 . The biggest common factor number is the GCF number.
So the greatest common factor 998,2158 is 2.

Lets's calculate LCM of 794,705

Lowest Common Multiple of 794,705 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 559770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/559770

Therefore, the GCF of Fractions 998/794,2158/705 is 2/559770

Least Common Multiple of 794,705 with GCF Formula

Least Common Multiple of 794,705 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 794,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,705) = 1

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

GCF(794,705) x common factors =1 x 1 = 1

LCM(794,705) = ( 794 × 705 ) / 1

LCM(794,705) = 559770 / 1

LCM(794,705) = 559770


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FAQs on GCF of Fractions of 998/794, 2158/705

1. What is the HCF of 998,2158?

The HCF of 998,2158 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 998/794, 2158/705?

Answer: GCF of Numerators as per given numbers 998/794, 2158/705 is

GCF of Numerators i.e. for 998,2158 is 2

LCM of denominators i.e. for 794,705 is 559770.

Thus, GCF of Fractions is 2/559770.Finally, GCF of Fractions for 998/794, 2158/705 is 2/559770.