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GCF of 392/751, 662/939

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 392/751, 662/939 i.e 2/705189 easily. The following is the detailed procedure to determine the greatest common factor of fractions 392/751, 662/939.

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 392/751,662/939?

Given fractions are 392/751,662/939

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 392/751,662/939, numerators are 392,662

Denominators are 751,939

The GCF of 392,662 is 2 .

LCM of 751,939 is 705189.

The greatest common factor of 392/751,662/939 = [GCF of 392,662]/[LCM of 751,939]= 2/705189

Therefore, the GCF of 392/751,662/939 is 2/705189.

Greatest Common Factor of 392,662

To find the highest common factor of 392,662, we have to find the factors of both numbers and list the highest common factor.

The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

The factors of 662 are 1, 2, 331, 662

The HCF of 392,662 is 2.

Lets's calculate GCF of 392,662

Greatest Common Factor (GCF) of 392,662 By Common Division

2 392, 662
196, 331

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

Greatest Common Factor of 392,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,662 By Matching Biggest Common Factor Method

Now, list down the factors of 392

:

1,2,4,7,8,14,28,49,56,98,196,392

Now, list down the factors of 662

:

1,2,331,662

Greatest Common Factor

We found the factors 392,662 . The biggest common factor number is the GCF number.
So the greatest common factor 392,662 is 2.

Lets's calculate LCM of 751,939

Lowest Common Multiple of 751,939 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 705189

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/705189

Therefore, the GCF of Fractions 392/751,662/939 is 2/705189

Least Common Multiple of 751,939 with GCF Formula

Least Common Multiple of 751,939 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 751,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(751,939) = 1

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

GCF(751,939) x common factors =1 x 1 = 1

LCM(751,939) = ( 751 × 939 ) / 1

LCM(751,939) = 705189 / 1

LCM(751,939) = 705189


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FAQs on GCF of Fractions of 392/751, 662/939

1. What is the HCF of 392,662?

The HCF of 392,662 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 392/751, 662/939?

Answer: GCF of Numerators as per given numbers 392/751, 662/939 is

GCF of Numerators i.e. for 392,662 is 2

LCM of denominators i.e. for 751,939 is 705189.

Thus, GCF of Fractions is 2/705189.Finally, GCF of Fractions for 392/751, 662/939 is 2/705189.