How to Find GCF of 1231/900, 5295/8327?

GCF of 1231/900, 5295/8327

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 1231/900, 5295/8327 i.e 1/7494300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1231/900, 5295/8327.

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 1231/900,5295/8327?

Given fractions are 1231/900,5295/8327

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 1231/900,5295/8327, numerators are 1231,5295

Denominators are 900,8327

The GCF of 1231,5295 is 1 .

LCM of 900,8327 is 7494300.

The greatest common factor of 1231/900,5295/8327 = [GCF of 1231,5295]/[LCM of 900,8327]= 1/7494300

Therefore, the GCF of 1231/900,5295/8327 is 1/7494300.

Greatest Common Factor of 1231,5295

To find the highest common factor of 1231,5295, we have to find the factors of both numbers and list the highest common factor.

The factors of 1231 are 1, 1231

The factors of 5295 are 1, 3, 5, 15, 353, 1059, 1765, 5295

The HCF of 1231,5295 is 1.

Lets's calculate GCF of 1231,5295

Greatest Common Factor (GCF) of 1231,5295 By Common Division

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

Greatest Common Factor of 1231,5295 By Matching Biggest Common Factor Method

Now, list down the factors of 1231

1,1231

Now, list down the factors of 5295

1,3,5,15,353,1059,1765,5295

Greatest Common Factor

We found the factors 1231,5295 . The biggest common factor number is the GCF number.
So the greatest common factor 1231,5295 is 1.

Lets's calculate LCM of 900,8327

Lowest Common Multiple of 900,8327 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7494300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7494300

Therefore, the GCF of Fractions 1231/900,5295/8327 is 1/7494300

Least Common Multiple of 900,8327 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 900,8327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,8327) = 1

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

GCF(900,8327) x common factors =1 x 1 = 1

LCM(900,8327) = ( 900 × 8327 ) / 1

LCM(900,8327) = 7494300 / 1

LCM(900,8327) = 7494300

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FAQs on GCF of Fractions of 1231/900, 5295/8327

1. What is the HCF of 1231,5295?

The HCF of 1231,5295 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 1231/900, 5295/8327?

Answer: GCF of Numerators as per given numbers 1231/900, 5295/8327 is

GCF of Numerators i.e. for 1231,5295 is 1

LCM of denominators i.e. for 900,8327 is 7494300.

Thus, GCF of Fractions is 1/7494300.Finally, GCF of Fractions for 1231/900, 5295/8327 is 1/7494300.