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GCF of 1123/873, 3341/6962

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 1123/873, 3341/6962 i.e 1/6077826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1123/873, 3341/6962.

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 1123/873,3341/6962?

Given fractions are 1123/873,3341/6962

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 1123/873,3341/6962, numerators are 1123,3341

Denominators are 873,6962

The GCF of 1123,3341 is 1 .

LCM of 873,6962 is 6077826.

The greatest common factor of 1123/873,3341/6962 = [GCF of 1123,3341]/[LCM of 873,6962]= 1/6077826

Therefore, the GCF of 1123/873,3341/6962 is 1/6077826.

Greatest Common Factor of 1123,3341

To find the highest common factor of 1123,3341, we have to find the factors of both numbers and list the highest common factor.

The factors of 1123 are 1, 1123

The factors of 3341 are 1, 13, 257, 3341

The HCF of 1123,3341 is 1.

Lets's calculate GCF of 1123,3341

Greatest Common Factor (GCF) of 1123,3341 By Common Division

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

Greatest Common Factor of 1123,3341 By Matching Biggest Common Factor Method

Greatest Common Factor of 1123,3341 By Matching Biggest Common Factor Method

Now, list down the factors of 1123

:

1,1123

Now, list down the factors of 3341

:

1,13,257,3341

Greatest Common Factor

We found the factors 1123,3341 . The biggest common factor number is the GCF number.
So the greatest common factor 1123,3341 is 1.

Lets's calculate LCM of 873,6962

Lowest Common Multiple of 873,6962 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6077826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6077826

Therefore, the GCF of Fractions 1123/873,3341/6962 is 1/6077826

Least Common Multiple of 873,6962 with GCF Formula

Least Common Multiple of 873,6962 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 873,6962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,6962) = 1

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

GCF(873,6962) x common factors =1 x 1 = 1

LCM(873,6962) = ( 873 × 6962 ) / 1

LCM(873,6962) = 6077826 / 1

LCM(873,6962) = 6077826


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FAQs on GCF of Fractions of 1123/873, 3341/6962

1. What is the HCF of 1123,3341?

The HCF of 1123,3341 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 1123/873, 3341/6962?

Answer: GCF of Numerators as per given numbers 1123/873, 3341/6962 is

GCF of Numerators i.e. for 1123,3341 is 1

LCM of denominators i.e. for 873,6962 is 6077826.

Thus, GCF of Fractions is 1/6077826.Finally, GCF of Fractions for 1123/873, 3341/6962 is 1/6077826.