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GCF of 940/73, 748/384

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 940/73, 748/384 i.e 4/28032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 940/73, 748/384.

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 940/73,748/384?

Given fractions are 940/73,748/384

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 940/73,748/384, numerators are 940,748

Denominators are 73,384

The GCF of 940,748 is 4 .

LCM of 73,384 is 28032.

The greatest common factor of 940/73,748/384 = [GCF of 940,748]/[LCM of 73,384]= 4/28032

Therefore, the GCF of 940/73,748/384 is 4/28032.

Greatest Common Factor of 940,748

To find the highest common factor of 940,748, we have to find the factors of both numbers and list the highest common factor.

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

The factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

The HCF of 940,748 is 4.

Lets's calculate GCF of 940,748

Greatest Common Factor (GCF) of 940,748 By Common Division

2 940, 748
2 470, 374
235, 187

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 940,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,748 By Matching Biggest Common Factor Method

Now, list down the factors of 940

:

1,2,4,5,10,20,47,94,188,235,470,940

Now, list down the factors of 748

:

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 940,748 . The biggest common factor number is the GCF number.
So the greatest common factor 940,748 is 4.

Lets's calculate LCM of 73,384

Lowest Common Multiple of 73,384 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 28032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/28032

Therefore, the GCF of Fractions 940/73,748/384 is 4/28032

Least Common Multiple of 73,384 with GCF Formula

Least Common Multiple of 73,384 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 73,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,384) = 1

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

GCF(73,384) x common factors =1 x 1 = 1

LCM(73,384) = ( 73 × 384 ) / 1

LCM(73,384) = 28032 / 1

LCM(73,384) = 28032


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FAQs on GCF of Fractions of 940/73, 748/384

1. What is the HCF of 940,748?

The HCF of 940,748 is 4

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 940/73, 748/384?

Answer: GCF of Numerators as per given numbers 940/73, 748/384 is

GCF of Numerators i.e. for 940,748 is 4

LCM of denominators i.e. for 73,384 is 28032.

Thus, GCF of Fractions is 4/28032.Finally, GCF of Fractions for 940/73, 748/384 is 4/28032.