How to Find GCF of 3773/988, 2815/3400?

GCF of 3773/988, 2815/3400

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 3773/988, 2815/3400 i.e 1/839800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3773/988, 2815/3400.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3773/988,2815/3400?

Given fractions are 3773/988,2815/3400

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 3773/988,2815/3400, numerators are 3773,2815

Denominators are 988,3400

The GCF of 3773,2815 is 1 .

LCM of 988,3400 is 839800.

The greatest common factor of 3773/988,2815/3400 = [GCF of 3773,2815]/[LCM of 988,3400]= 1/839800

Therefore, the GCF of 3773/988,2815/3400 is 1/839800.

Greatest Common Factor of 3773,2815

To find the highest common factor of 3773,2815, we have to find the factors of both numbers and list the highest common factor.

The factors of 3773 are 1, 7, 11, 49, 77, 343, 539, 3773

The factors of 2815 are 1, 5, 563, 2815

The HCF of 3773,2815 is 1.

Lets's calculate GCF of 3773,2815

Greatest Common Factor (GCF) of 3773,2815 By Common Division

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

Greatest Common Factor of 3773,2815 By Matching Biggest Common Factor Method

Now, list down the factors of 3773

1,7,11,49,77,343,539,3773

Now, list down the factors of 2815

1,5,563,2815

Greatest Common Factor

We found the factors 3773,2815 . The biggest common factor number is the GCF number.
So the greatest common factor 3773,2815 is 1.

Lets's calculate LCM of 988,3400

Lowest Common Multiple of 988,3400 using Common Division

2	988, 3400
2	494, 1700
	247, 850

∴ So the LCM of the given numbers is 2 x 2 x 247 x 850 = 839800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/839800

Therefore, the GCF of Fractions 3773/988,2815/3400 is 1/839800

Least Common Multiple of 988,3400 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 988,3400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,3400) = 4

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

GCF(988,3400) x common factors =4 x 1 = 4

LCM(988,3400) = ( 988 × 3400 ) / 4

LCM(988,3400) = 3359200 / 4

LCM(988,3400) = 839800

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3773/988, 2815/3400

1. What is the HCF of 3773,2815?

The HCF of 3773,2815 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 3773/988, 2815/3400?

Answer: GCF of Numerators as per given numbers 3773/988, 2815/3400 is

GCF of Numerators i.e. for 3773,2815 is 1

LCM of denominators i.e. for 988,3400 is 839800.

Thus, GCF of Fractions is 1/839800.Finally, GCF of Fractions for 3773/988, 2815/3400 is 1/839800.