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GCF of 2558/798, 5158/689

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 2558/798, 5158/689 i.e 2/549822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2558/798, 5158/689.

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 2558/798,5158/689?

Given fractions are 2558/798,5158/689

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 2558/798,5158/689, numerators are 2558,5158

Denominators are 798,689

The GCF of 2558,5158 is 2 .

LCM of 798,689 is 549822.

The greatest common factor of 2558/798,5158/689 = [GCF of 2558,5158]/[LCM of 798,689]= 2/549822

Therefore, the GCF of 2558/798,5158/689 is 2/549822.

Greatest Common Factor of 2558,5158

To find the highest common factor of 2558,5158, we have to find the factors of both numbers and list the highest common factor.

The factors of 2558 are 1, 2, 1279, 2558

The factors of 5158 are 1, 2, 2579, 5158

The HCF of 2558,5158 is 2.

Lets's calculate GCF of 2558,5158

Greatest Common Factor (GCF) of 2558,5158 By Common Division

2 2558, 5158
1279, 2579

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

Greatest Common Factor of 2558,5158 By Matching Biggest Common Factor Method

Greatest Common Factor of 2558,5158 By Matching Biggest Common Factor Method

Now, list down the factors of 2558

:

1,2,1279,2558

Now, list down the factors of 5158

:

1,2,2579,5158

Greatest Common Factor

We found the factors 2558,5158 . The biggest common factor number is the GCF number.
So the greatest common factor 2558,5158 is 2.

Lets's calculate LCM of 798,689

Lowest Common Multiple of 798,689 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 549822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/549822

Therefore, the GCF of Fractions 2558/798,5158/689 is 2/549822

Least Common Multiple of 798,689 with GCF Formula

Least Common Multiple of 798,689 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 798,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,689) = 1

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

GCF(798,689) x common factors =1 x 1 = 1

LCM(798,689) = ( 798 × 689 ) / 1

LCM(798,689) = 549822 / 1

LCM(798,689) = 549822


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FAQs on GCF of Fractions of 2558/798, 5158/689

1. What is the HCF of 2558,5158?

The HCF of 2558,5158 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 2558/798, 5158/689?

Answer: GCF of Numerators as per given numbers 2558/798, 5158/689 is

GCF of Numerators i.e. for 2558,5158 is 2

LCM of denominators i.e. for 798,689 is 549822.

Thus, GCF of Fractions is 2/549822.Finally, GCF of Fractions for 2558/798, 5158/689 is 2/549822.