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GCF of 6893/225, 4943/8038

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 6893/225, 4943/8038 i.e 1/1808550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6893/225, 4943/8038.

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 6893/225,4943/8038?

Given fractions are 6893/225,4943/8038

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 6893/225,4943/8038, numerators are 6893,4943

Denominators are 225,8038

The GCF of 6893,4943 is 1 .

LCM of 225,8038 is 1808550.

The greatest common factor of 6893/225,4943/8038 = [GCF of 6893,4943]/[LCM of 225,8038]= 1/1808550

Therefore, the GCF of 6893/225,4943/8038 is 1/1808550.

Greatest Common Factor of 6893,4943

To find the highest common factor of 6893,4943, we have to find the factors of both numbers and list the highest common factor.

The factors of 6893 are 1, 61, 113, 6893

The factors of 4943 are 1, 4943

The HCF of 6893,4943 is 1.

Lets's calculate GCF of 6893,4943

Greatest Common Factor (GCF) of 6893,4943 By Common Division

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

Greatest Common Factor of 6893,4943 By Matching Biggest Common Factor Method

Greatest Common Factor of 6893,4943 By Matching Biggest Common Factor Method

Now, list down the factors of 6893

:

1,61,113,6893

Now, list down the factors of 4943

:

1,4943

Greatest Common Factor

We found the factors 6893,4943 . The biggest common factor number is the GCF number.
So the greatest common factor 6893,4943 is 1.

Lets's calculate LCM of 225,8038

Lowest Common Multiple of 225,8038 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1808550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1808550

Therefore, the GCF of Fractions 6893/225,4943/8038 is 1/1808550

Least Common Multiple of 225,8038 with GCF Formula

Least Common Multiple of 225,8038 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 225,8038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,8038) = 1

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

GCF(225,8038) x common factors =1 x 1 = 1

LCM(225,8038) = ( 225 × 8038 ) / 1

LCM(225,8038) = 1808550 / 1

LCM(225,8038) = 1808550


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FAQs on GCF of Fractions of 6893/225, 4943/8038

1. What is the HCF of 6893,4943?

The HCF of 6893,4943 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 6893/225, 4943/8038?

Answer: GCF of Numerators as per given numbers 6893/225, 4943/8038 is

GCF of Numerators i.e. for 6893,4943 is 1

LCM of denominators i.e. for 225,8038 is 1808550.

Thus, GCF of Fractions is 1/1808550.Finally, GCF of Fractions for 6893/225, 4943/8038 is 1/1808550.