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GCF of 940/686, 224/823

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 940/686, 224/823 i.e 4/564578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 940/686, 224/823.

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 940/686,224/823?

Given fractions are 940/686,224/823

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 940/686,224/823, numerators are 940,224

Denominators are 686,823

The GCF of 940,224 is 4 .

LCM of 686,823 is 564578.

The greatest common factor of 940/686,224/823 = [GCF of 940,224]/[LCM of 686,823]= 4/564578

Therefore, the GCF of 940/686,224/823 is 4/564578.

Greatest Common Factor of 940,224

To find the highest common factor of 940,224, 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 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

The HCF of 940,224 is 4.

Lets's calculate GCF of 940,224

Greatest Common Factor (GCF) of 940,224 By Common Division

2 940, 224
2 470, 112
235, 56

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

Greatest Common Factor of 940,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,224 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 224

:

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 940,224 . The biggest common factor number is the GCF number.
So the greatest common factor 940,224 is 4.

Lets's calculate LCM of 686,823

Lowest Common Multiple of 686,823 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 564578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/564578

Therefore, the GCF of Fractions 940/686,224/823 is 4/564578

Least Common Multiple of 686,823 with GCF Formula

Least Common Multiple of 686,823 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 686,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,823) = 1

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

GCF(686,823) x common factors =1 x 1 = 1

LCM(686,823) = ( 686 × 823 ) / 1

LCM(686,823) = 564578 / 1

LCM(686,823) = 564578


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FAQs on GCF of Fractions of 940/686, 224/823

1. What is the HCF of 940,224?

The HCF of 940,224 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 940/686, 224/823?

Answer: GCF of Numerators as per given numbers 940/686, 224/823 is

GCF of Numerators i.e. for 940,224 is 4

LCM of denominators i.e. for 686,823 is 564578.

Thus, GCF of Fractions is 4/564578.Finally, GCF of Fractions for 940/686, 224/823 is 4/564578.