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GCF of 694/240, 256/623

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 694/240, 256/623 i.e 2/149520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 694/240, 256/623.

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 694/240,256/623?

Given fractions are 694/240,256/623

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 694/240,256/623, numerators are 694,256

Denominators are 240,623

The GCF of 694,256 is 2 .

LCM of 240,623 is 149520.

The greatest common factor of 694/240,256/623 = [GCF of 694,256]/[LCM of 240,623]= 2/149520

Therefore, the GCF of 694/240,256/623 is 2/149520.

Greatest Common Factor of 694,256

To find the highest common factor of 694,256, we have to find the factors of both numbers and list the highest common factor.

The factors of 694 are 1, 2, 347, 694

The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256

The HCF of 694,256 is 2.

Lets's calculate GCF of 694,256

Greatest Common Factor (GCF) of 694,256 By Common Division

2 694, 256
347, 128

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

Greatest Common Factor of 694,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,256 By Matching Biggest Common Factor Method

Now, list down the factors of 694

:

1,2,347,694

Now, list down the factors of 256

:

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 694,256 . The biggest common factor number is the GCF number.
So the greatest common factor 694,256 is 2.

Lets's calculate LCM of 240,623

Lowest Common Multiple of 240,623 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 149520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/149520

Therefore, the GCF of Fractions 694/240,256/623 is 2/149520

Least Common Multiple of 240,623 with GCF Formula

Least Common Multiple of 240,623 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 240,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,623) = 1

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

GCF(240,623) x common factors =1 x 1 = 1

LCM(240,623) = ( 240 × 623 ) / 1

LCM(240,623) = 149520 / 1

LCM(240,623) = 149520


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FAQs on GCF of Fractions of 694/240, 256/623

1. What is the HCF of 694,256?

The HCF of 694,256 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 694/240, 256/623?

Answer: GCF of Numerators as per given numbers 694/240, 256/623 is

GCF of Numerators i.e. for 694,256 is 2

LCM of denominators i.e. for 240,623 is 149520.

Thus, GCF of Fractions is 2/149520.Finally, GCF of Fractions for 694/240, 256/623 is 2/149520.