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GCF of 1133/919, 8027/384

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 1133/919, 8027/384 i.e 1/352896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1133/919, 8027/384.

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 1133/919,8027/384?

Given fractions are 1133/919,8027/384

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 1133/919,8027/384, numerators are 1133,8027

Denominators are 919,384

The GCF of 1133,8027 is 1 .

LCM of 919,384 is 352896.

The greatest common factor of 1133/919,8027/384 = [GCF of 1133,8027]/[LCM of 919,384]= 1/352896

Therefore, the GCF of 1133/919,8027/384 is 1/352896.

Greatest Common Factor of 1133,8027

To find the highest common factor of 1133,8027, we have to find the factors of both numbers and list the highest common factor.

The factors of 1133 are 1, 11, 103, 1133

The factors of 8027 are 1, 23, 349, 8027

The HCF of 1133,8027 is 1.

Lets's calculate GCF of 1133,8027

Greatest Common Factor (GCF) of 1133,8027 By Common Division

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

Greatest Common Factor of 1133,8027 By Matching Biggest Common Factor Method

Greatest Common Factor of 1133,8027 By Matching Biggest Common Factor Method

Now, list down the factors of 1133

:

1,11,103,1133

Now, list down the factors of 8027

:

1,23,349,8027

Greatest Common Factor

We found the factors 1133,8027 . The biggest common factor number is the GCF number.
So the greatest common factor 1133,8027 is 1.

Lets's calculate LCM of 919,384

Lowest Common Multiple of 919,384 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 352896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352896

Therefore, the GCF of Fractions 1133/919,8027/384 is 1/352896

Least Common Multiple of 919,384 with GCF Formula

Least Common Multiple of 919,384 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 919,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,384) = 1

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

GCF(919,384) x common factors =1 x 1 = 1

LCM(919,384) = ( 919 × 384 ) / 1

LCM(919,384) = 352896 / 1

LCM(919,384) = 352896


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FAQs on GCF of Fractions of 1133/919, 8027/384

1. What is the HCF of 1133,8027?

The HCF of 1133,8027 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 1133/919, 8027/384?

Answer: GCF of Numerators as per given numbers 1133/919, 8027/384 is

GCF of Numerators i.e. for 1133,8027 is 1

LCM of denominators i.e. for 919,384 is 352896.

Thus, GCF of Fractions is 1/352896.Finally, GCF of Fractions for 1133/919, 8027/384 is 1/352896.