LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 340/25, 658/998

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 340/25, 658/998 i.e 2/24950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 340/25, 658/998.

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 340/25,658/998?

Given fractions are 340/25,658/998

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 340/25,658/998, numerators are 340,658

Denominators are 25,998

The GCF of 340,658 is 2 .

LCM of 25,998 is 24950.

The greatest common factor of 340/25,658/998 = [GCF of 340,658]/[LCM of 25,998]= 2/24950

Therefore, the GCF of 340/25,658/998 is 2/24950.

Greatest Common Factor of 340,658

To find the highest common factor of 340,658, we have to find the factors of both numbers and list the highest common factor.

The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658

The HCF of 340,658 is 2.

Lets's calculate GCF of 340,658

Greatest Common Factor (GCF) of 340,658 By Common Division

2 340, 658
170, 329

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

Greatest Common Factor of 340,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,658 By Matching Biggest Common Factor Method

Now, list down the factors of 340

:

1,2,4,5,10,17,20,34,68,85,170,340

Now, list down the factors of 658

:

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 340,658 . The biggest common factor number is the GCF number.
So the greatest common factor 340,658 is 2.

Lets's calculate LCM of 25,998

Lowest Common Multiple of 25,998 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 24950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24950

Therefore, the GCF of Fractions 340/25,658/998 is 2/24950

Least Common Multiple of 25,998 with GCF Formula

Least Common Multiple of 25,998 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 25,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,998) = 1

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

GCF(25,998) x common factors =1 x 1 = 1

LCM(25,998) = ( 25 × 998 ) / 1

LCM(25,998) = 24950 / 1

LCM(25,998) = 24950


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 340/25, 658/998

1. What is the HCF of 340,658?

The HCF of 340,658 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 340/25, 658/998?

Answer: GCF of Numerators as per given numbers 340/25, 658/998 is

GCF of Numerators i.e. for 340,658 is 2

LCM of denominators i.e. for 25,998 is 24950.

Thus, GCF of Fractions is 2/24950.Finally, GCF of Fractions for 340/25, 658/998 is 2/24950.