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 668/634, 6449/978

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 668/634, 6449/978 i.e 1/310026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 668/634, 6449/978.

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 668/634,6449/978?

Given fractions are 668/634,6449/978

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 668/634,6449/978, numerators are 668,6449

Denominators are 634,978

The GCF of 668,6449 is 1 .

LCM of 634,978 is 310026.

The greatest common factor of 668/634,6449/978 = [GCF of 668,6449]/[LCM of 634,978]= 1/310026

Therefore, the GCF of 668/634,6449/978 is 1/310026.

Greatest Common Factor of 668,6449

To find the highest common factor of 668,6449, we have to find the factors of both numbers and list the highest common factor.

The factors of 668 are 1, 2, 4, 167, 334, 668

The factors of 6449 are 1, 6449

The HCF of 668,6449 is 1.

Lets's calculate GCF of 668,6449

Greatest Common Factor (GCF) of 668,6449 By Common Division

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

Greatest Common Factor of 668,6449 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,6449 By Matching Biggest Common Factor Method

Now, list down the factors of 668

:

1,2,4,167,334,668

Now, list down the factors of 6449

:

1,6449

Greatest Common Factor

We found the factors 668,6449 . The biggest common factor number is the GCF number.
So the greatest common factor 668,6449 is 1.

Lets's calculate LCM of 634,978

Lowest Common Multiple of 634,978 using Common Division

2 634, 978
317, 489

∴ So the LCM of the given numbers is 2 x 317 x 489 = 310026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310026

Therefore, the GCF of Fractions 668/634,6449/978 is 1/310026

Least Common Multiple of 634,978 with GCF Formula

Least Common Multiple of 634,978 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 634,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,978) = 2

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

GCF(634,978) x common factors =2 x 1 = 2

LCM(634,978) = ( 634 × 978 ) / 2

LCM(634,978) = 620052 / 2

LCM(634,978) = 310026


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 668/634, 6449/978

1. What is the HCF of 668,6449?

The HCF of 668,6449 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 668/634, 6449/978?

Answer: GCF of Numerators as per given numbers 668/634, 6449/978 is

GCF of Numerators i.e. for 668,6449 is 1

LCM of denominators i.e. for 634,978 is 310026.

Thus, GCF of Fractions is 1/310026.Finally, GCF of Fractions for 668/634, 6449/978 is 1/310026.