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GCF of 319/92, 754/2344

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 319/92, 754/2344 i.e 29/53912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 319/92, 754/2344.

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 319/92,754/2344?

Given fractions are 319/92,754/2344

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 319/92,754/2344, numerators are 319,754

Denominators are 92,2344

The GCF of 319,754 is 29 .

LCM of 92,2344 is 53912.

The greatest common factor of 319/92,754/2344 = [GCF of 319,754]/[LCM of 92,2344]= 29/53912

Therefore, the GCF of 319/92,754/2344 is 29/53912.

Greatest Common Factor of 319,754

To find the highest common factor of 319,754, we have to find the factors of both numbers and list the highest common factor.

The factors of 319 are 1, 11, 29, 319

The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754

The HCF of 319,754 is 29.

Lets's calculate GCF of 319,754

Greatest Common Factor (GCF) of 319,754 By Common Division

29 319, 754
11, 26

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 319,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,754 By Matching Biggest Common Factor Method

Now, list down the factors of 319

:

1,11,29,319

Now, list down the factors of 754

:

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 319,754 . The biggest common factor number is the GCF number.
So the greatest common factor 319,754 is 29.

Lets's calculate LCM of 92,2344

Lowest Common Multiple of 92,2344 using Common Division

2 92, 2344
2 46, 1172
23, 586

∴ So the LCM of the given numbers is 2 x 2 x 23 x 586 = 53912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/53912

Therefore, the GCF of Fractions 319/92,754/2344 is 29/53912

Least Common Multiple of 92,2344 with GCF Formula

Least Common Multiple of 92,2344 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 92,2344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,2344) = 4

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

GCF(92,2344) x common factors =4 x 1 = 4

LCM(92,2344) = ( 92 × 2344 ) / 4

LCM(92,2344) = 215648 / 4

LCM(92,2344) = 53912


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FAQs on GCF of Fractions of 319/92, 754/2344

1. What is the HCF of 319,754?

The HCF of 319,754 is 29

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 319/92, 754/2344?

Answer: GCF of Numerators as per given numbers 319/92, 754/2344 is

GCF of Numerators i.e. for 319,754 is 29

LCM of denominators i.e. for 92,2344 is 53912.

Thus, GCF of Fractions is 29/53912.Finally, GCF of Fractions for 319/92, 754/2344 is 29/53912.