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GCF of 788/326, 978/416

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 788/326, 978/416 i.e 2/67808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 788/326, 978/416.

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 788/326,978/416?

Given fractions are 788/326,978/416

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 788/326,978/416, numerators are 788,978

Denominators are 326,416

The GCF of 788,978 is 2 .

LCM of 326,416 is 67808.

The greatest common factor of 788/326,978/416 = [GCF of 788,978]/[LCM of 326,416]= 2/67808

Therefore, the GCF of 788/326,978/416 is 2/67808.

Greatest Common Factor of 788,978

To find the highest common factor of 788,978, we have to find the factors of both numbers and list the highest common factor.

The factors of 788 are 1, 2, 4, 197, 394, 788

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

The HCF of 788,978 is 2.

Lets's calculate GCF of 788,978

Greatest Common Factor (GCF) of 788,978 By Common Division

2 788, 978
394, 489

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

Greatest Common Factor of 788,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,978 By Matching Biggest Common Factor Method

Now, list down the factors of 788

:

1,2,4,197,394,788

Now, list down the factors of 978

:

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

Greatest Common Factor

We found the factors 788,978 . The biggest common factor number is the GCF number.
So the greatest common factor 788,978 is 2.

Lets's calculate LCM of 326,416

Lowest Common Multiple of 326,416 using Common Division

2 326, 416
163, 208

∴ So the LCM of the given numbers is 2 x 163 x 208 = 67808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67808

Therefore, the GCF of Fractions 788/326,978/416 is 2/67808

Least Common Multiple of 326,416 with GCF Formula

Least Common Multiple of 326,416 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 326,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,416) = 2

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

GCF(326,416) x common factors =2 x 1 = 2

LCM(326,416) = ( 326 × 416 ) / 2

LCM(326,416) = 135616 / 2

LCM(326,416) = 67808


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FAQs on GCF of Fractions of 788/326, 978/416

1. What is the HCF of 788,978?

The HCF of 788,978 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 788/326, 978/416?

Answer: GCF of Numerators as per given numbers 788/326, 978/416 is

GCF of Numerators i.e. for 788,978 is 2

LCM of denominators i.e. for 326,416 is 67808.

Thus, GCF of Fractions is 2/67808.Finally, GCF of Fractions for 788/326, 978/416 is 2/67808.