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GCF of 939/400, 1685/278

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 939/400, 1685/278 i.e 1/55600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 939/400, 1685/278.

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 939/400,1685/278?

Given fractions are 939/400,1685/278

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 939/400,1685/278, numerators are 939,1685

Denominators are 400,278

The GCF of 939,1685 is 1 .

LCM of 400,278 is 55600.

The greatest common factor of 939/400,1685/278 = [GCF of 939,1685]/[LCM of 400,278]= 1/55600

Therefore, the GCF of 939/400,1685/278 is 1/55600.

Greatest Common Factor of 939,1685

To find the highest common factor of 939,1685, we have to find the factors of both numbers and list the highest common factor.

The factors of 939 are 1, 3, 313, 939

The factors of 1685 are 1, 5, 337, 1685

The HCF of 939,1685 is 1.

Lets's calculate GCF of 939,1685

Greatest Common Factor (GCF) of 939,1685 By Common Division

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

Greatest Common Factor of 939,1685 By Matching Biggest Common Factor Method

Greatest Common Factor of 939,1685 By Matching Biggest Common Factor Method

Now, list down the factors of 939

:

1,3,313,939

Now, list down the factors of 1685

:

1,5,337,1685

Greatest Common Factor

We found the factors 939,1685 . The biggest common factor number is the GCF number.
So the greatest common factor 939,1685 is 1.

Lets's calculate LCM of 400,278

Lowest Common Multiple of 400,278 using Common Division

2 400, 278
200, 139

∴ So the LCM of the given numbers is 2 x 200 x 139 = 55600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55600

Therefore, the GCF of Fractions 939/400,1685/278 is 1/55600

Least Common Multiple of 400,278 with GCF Formula

Least Common Multiple of 400,278 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 400,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,278) = 2

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

GCF(400,278) x common factors =2 x 1 = 2

LCM(400,278) = ( 400 × 278 ) / 2

LCM(400,278) = 111200 / 2

LCM(400,278) = 55600


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FAQs on GCF of Fractions of 939/400, 1685/278

1. What is the HCF of 939,1685?

The HCF of 939,1685 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 939/400, 1685/278?

Answer: GCF of Numerators as per given numbers 939/400, 1685/278 is

GCF of Numerators i.e. for 939,1685 is 1

LCM of denominators i.e. for 400,278 is 55600.

Thus, GCF of Fractions is 1/55600.Finally, GCF of Fractions for 939/400, 1685/278 is 1/55600.