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GCF of 373/218, 2785/496

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 373/218, 2785/496 i.e 1/54064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 373/218, 2785/496.

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 373/218,2785/496?

Given fractions are 373/218,2785/496

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 373/218,2785/496, numerators are 373,2785

Denominators are 218,496

The GCF of 373,2785 is 1 .

LCM of 218,496 is 54064.

The greatest common factor of 373/218,2785/496 = [GCF of 373,2785]/[LCM of 218,496]= 1/54064

Therefore, the GCF of 373/218,2785/496 is 1/54064.

Greatest Common Factor of 373,2785

To find the highest common factor of 373,2785, we have to find the factors of both numbers and list the highest common factor.

The factors of 373 are 1, 373

The factors of 2785 are 1, 5, 557, 2785

The HCF of 373,2785 is 1.

Lets's calculate GCF of 373,2785

Greatest Common Factor (GCF) of 373,2785 By Common Division

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

Greatest Common Factor of 373,2785 By Matching Biggest Common Factor Method

Greatest Common Factor of 373,2785 By Matching Biggest Common Factor Method

Now, list down the factors of 373

:

1,373

Now, list down the factors of 2785

:

1,5,557,2785

Greatest Common Factor

We found the factors 373,2785 . The biggest common factor number is the GCF number.
So the greatest common factor 373,2785 is 1.

Lets's calculate LCM of 218,496

Lowest Common Multiple of 218,496 using Common Division

2 218, 496
109, 248

∴ So the LCM of the given numbers is 2 x 109 x 248 = 54064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54064

Therefore, the GCF of Fractions 373/218,2785/496 is 1/54064

Least Common Multiple of 218,496 with GCF Formula

Least Common Multiple of 218,496 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 218,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,496) = 2

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

GCF(218,496) x common factors =2 x 1 = 2

LCM(218,496) = ( 218 × 496 ) / 2

LCM(218,496) = 108128 / 2

LCM(218,496) = 54064


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FAQs on GCF of Fractions of 373/218, 2785/496

1. What is the HCF of 373,2785?

The HCF of 373,2785 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 373/218, 2785/496?

Answer: GCF of Numerators as per given numbers 373/218, 2785/496 is

GCF of Numerators i.e. for 373,2785 is 1

LCM of denominators i.e. for 218,496 is 54064.

Thus, GCF of Fractions is 1/54064.Finally, GCF of Fractions for 373/218, 2785/496 is 1/54064.