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GCF of 978/98, 390/794

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 978/98, 390/794 i.e 6/38906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 978/98, 390/794.

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 978/98,390/794?

Given fractions are 978/98,390/794

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 978/98,390/794, numerators are 978,390

Denominators are 98,794

The GCF of 978,390 is 6 .

LCM of 98,794 is 38906.

The greatest common factor of 978/98,390/794 = [GCF of 978,390]/[LCM of 98,794]= 6/38906

Therefore, the GCF of 978/98,390/794 is 6/38906.

Greatest Common Factor of 978,390

To find the highest common factor of 978,390, we have to find the factors of both numbers and list the highest common factor.

The factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978

The factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

The HCF of 978,390 is 6.

Lets's calculate GCF of 978,390

Greatest Common Factor (GCF) of 978,390 By Common Division

2 978, 390
3 489, 195
163, 65

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 978,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,390 By Matching Biggest Common Factor Method

Now, list down the factors of 978

:

1,2,3,6,163,326,489,978

Now, list down the factors of 390

:

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 978,390 . The biggest common factor number is the GCF number.
So the greatest common factor 978,390 is 6.

Lets's calculate LCM of 98,794

Lowest Common Multiple of 98,794 using Common Division

2 98, 794
49, 397

∴ So the LCM of the given numbers is 2 x 49 x 397 = 38906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/38906

Therefore, the GCF of Fractions 978/98,390/794 is 6/38906

Least Common Multiple of 98,794 with GCF Formula

Least Common Multiple of 98,794 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 98,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,794) = 2

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

GCF(98,794) x common factors =2 x 1 = 2

LCM(98,794) = ( 98 × 794 ) / 2

LCM(98,794) = 77812 / 2

LCM(98,794) = 38906


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FAQs on GCF of Fractions of 978/98, 390/794

1. What is the HCF of 978,390?

The HCF of 978,390 is 6

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 978/98, 390/794?

Answer: GCF of Numerators as per given numbers 978/98, 390/794 is

GCF of Numerators i.e. for 978,390 is 6

LCM of denominators i.e. for 98,794 is 38906.

Thus, GCF of Fractions is 6/38906.Finally, GCF of Fractions for 978/98, 390/794 is 6/38906.